- Table View
- List View
Two-Dimensional Nanomaterials Based Polymer Nanocomposites: Processing, Properties and Applications
by Mayank Pandey Kalim Deshmukh Chaudhery Mustansar HussainTwo-Dimensional Nanomaterials-Based Polymer Nanocomposites This book presents an extensive discussion on fundamental chemistry, classifications, structure, unique properties, and applications of various 2D nanomaterials. The advent of graphene in 2004 has brought tremendous attention to two-dimensional (2D) nanomaterials. Lately, this has prompted researchers to explore new 2D nanomaterials for cutting-edge research in diverse fields. Polymer nanocomposites (PNCs) represent a fascinating group of novel materials that exhibit intriguing properties. The unique combination of polymer and nanomaterial not only overcomes the limitations of polymer matrices, but also changes their structural, morphological, and physicochemical properties thereby broadening their application potential. The book, comprising 22 chapters, provides a unique and detailed study of the process involved in the synthesis of 2D nanomaterials, modification strategies of 2D nanomaterials, and numerous applications of 2D nanomaterials-based polymer nanocomposites. The book also emphasizes the existing challenges in the functionalization and exfoliation of 2D nanomaterials as well as the chemical, structural, electrical, thermal, mechanical, and biological properties of 2D nanomaterials-based polymer nanocomposites. The key features of this book are: Provides fundamental information and a clear understanding of synthesis, processing methods, structure and physicochemical properties of 2D materials-based polymer nanocomposites; Presents a comprehensive review of several recent accomplishments and key scientific and technological challenges in developing 2D materials-based polymer nanocomposites; Explores various processing and fabrication methods and emerging applications of 2D materials-based polymer nanocomposites. Audience Engineers and polymer scientists in the electrical, coatings, and biomedical industries will find this book very useful. Advanced students in materials science and polymer science will find it a fount of information.
Two-Dimensional Nanomaterials for Biosensing and Imaging Applications
by Chaudhery Mustansar Hussain Ram Sevak Singh Kalim DeshmukhThe book is essential for anyone eager to understand the transformative potential of 2D nanomaterials in biotechnology and medical science, offering in-depth insights into their unique properties, synthesis methods, and practical applications in an ever-evolving field. Nanotechnology is pivotal in advancing biotechnology and medical science. Nanomaterials, essential components of this technology, showcase unique and superior physicochemical properties when compared to their bulk equivalents. Since the groundbreaking discovery of graphene in 2004, two-dimensional (2D) nanomaterials have garnered immense attention for their potential in a wide range of applications across multiple industries including biochemistry, biophysics, and engineering. Two-Dimensional Nanomaterials for Biosensing and Imaging Applications examines the current state and new challenges associated with the development of 2D nanomaterials for biosensing and imaging applications. This volume focuses on the synthesis, processing methods, characterization, properties, and applications of 2D nanomaterials, their nanocomposites or heterostructures for biosensors and imaging devices, and the essential criteria in each specified field. Comparative performance evaluations of various biosensor devices and their advantages and disadvantages for the commercialization of 2D materials-based biosensors are comprehensively covered, giving essential insight into the challenges this technology presents. A handpicked selection of topics and expert contributors from across the globe will make this book an outstanding resource for students and industry professionals looking to explore the potential of these ground-breaking materials. Readers will find the book: Provides a comprehensive overview of the synthesis, processing, compositions, structure, device design, and various properties of two-dimensional nanomaterials for biosensing and imaging applications; Comprehensively covers 2D materials and their processing techniques, properties, and enhancement for biosensing and imaging applications Explores the coverage of biocompatibility, toxicity concerns, environmental and safety considerations, and legal and commercialization aspects of 2D nanomaterials for biosensing and imaging applications. Audience Graduate, postgraduate, and engineering students, research scholars, and faculty working in materials science, biotechnology, biomedical engineering, biochemistry, and biophysics, as well as material engineers, scientists, and technologists in the electronic, electrical, and biomedical industries.
Two-Dimensional Nanomaterials for Fire-Safe Polymers (Emerging Materials and Technologies)
by Yuan Hu Xin WangThis book provides an overview of the latest scientific developments and technological advances in two-dimensional (2D) nanomaterials for fire-safe polymers. It summarizes the preparation methods for diverse types of 2D nanomaterials and their polymer composites and reviews their flame-retardant properties, toxic gas and smoke emission during combustion, and inhibition strategies. Covers fundamental aspects like influence of size and dispersion of 2D nanomaterials to help readers develop efficient, multi-functional, and ecofriendly fire-safe polymer composites for a wide range of applications Discusses new-emerging 2D nanomaterials for fire-safe polymer applications, including MXenes, graphitic carbon nitride, boron nitride, and black phosphorus Introduces basic modes of flame retardant action of 2D nanomaterials, including smoke and toxic gas suppression, and the role of 2D nanomaterials in promoting char formation This book is suitable for both scholars and engineers in the fields of polymer science and engineering. It is also aimed at graduate students in chemistry, materials, and safety science and engineering.
Two-Dimensional Nanostructures
by Mahmood Aliofkhazraei Nasar AliAfter the 2010 Nobel Prize in Physics was awarded to Andre Geim and Konstantin Novoselov "for groundbreaking experiments regarding the two-dimensional material graphene," even more research and development efforts have been focused on two-dimensional nanostructures. Illustrating the importance of this area in future applications, Two-Dimensional Na
Two-Dimensional Nanostructures for Energy-Related Applications
by Kuan Yew CheongThis edited book focuses on the latest advances and development of utilizing two-dimensional nanostructures for energy and its related applications. Traditionally, the geometry of this material refers to "thin film" or "coating." The book covers three main parts, beginning with synthesis, processing, and property of two-dimensional nanostructures for active and passive layers followed by topics on characterization of the materials. It concludes with topics relating to utilization of the materials for usage in devises for energy and its related applications.
A Two-Dimensional Piezoresistivity Model for Anisotropic Materials and its Application in Self-Sensing of Carbon Fiber Reinforced Plastics (Mechanics and Adaptronics)
by Patrick ScholleThis thesis works on the topic of fiber-reinforced plastics and discusses the measurement of strain with embedded sensors. Embedding sensors into a structure fundamentally poses challenges arising from the differences in mechanical properties of sensor and structure. This thesis works on the research area of Self-Sensing, where these challenges are overcome by using carbon fibers for both load-carrying and strain-sensing functions. Starting with a literature review, this thesis proposes three research hypotheses, which are targeted to describe the Self-Sensing properties of unidirectional carbon fiber reinforced plastics (CFRPs) for strain measurements. These hypotheses assume, that the electric anisotropy of the material results in a complex voltage distribution within a Self-Sensing specimen. In order to discuss this point further, a two-dimensional piezoresistivity model based on the Laplace equation is introduced. The developed model newly allows to quantify the electric potential changes in specimens with arbitrary geometrical dimensions and electric anisotropy.Furthermore, this thesis discusses a set of experimental results on the piezoresistive properties of unidirectional CFRP made with the pultrusion process. Overall, the results of the experiments indicate that the most repeatable results are obtained for specimens with electric contacts at their cut-end. This approach allows to manufacture Self-Strain-Sensing rods with a gauge factor of approximately 1.9 that can be used in a multifunctional manner for both load-carrying and strain-sensing purposes. Furthermore, a novel measurement setup is developed, which allows to acquire the electric potential distribution on the surface of electrical conductors with very high spacial resolution. This experimental setup newly reveals that the current flow in specimens can be more complex than assumed in a two-dimensional model.
Two-dimensional Product-Cubic Systems, Vol. I: Constant and Linear Vector Fields
by Albert C. LuoThis book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is a product of linear and quadratic different univariate functions. The hyperbolic and hyperbolic-secant flows with directrix flows in the cubic product system with a constant vector field are discussed first, and the cubic product systems with self-linear and crossing-linear vector fields are discussed. The inflection-source (sink) infinite equilibriums are presented for the switching bifurcations of a connected hyperbolic flow and saddle with hyperbolic-secant flow and source (sink) for the connected the separated hyperbolic and hyperbolic-secant flows. The inflection-sink and source infinite-equilibriums with parabola-saddles are presented for the switching bifurcations of a separated hyperbolic flow and saddle with a hyperbolic-secant flow and center. Readers learn new concepts, theory, phenomena, and analysis techniques, such as Constant and product-cubic systems, Linear-univariate and product-cubic systems, Hyperbolic and hyperbolic-secant flows, Connected hyperbolic and hyperbolic-secant flows, Separated hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums and Infinite-equilibrium switching bifurcations.
Two-dimensional Product-Cubic Systems, Vol. IV: Crossing-quadratic Vector Fields
by Albert C. LuoThis book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include: Parabola-source (sink) infinite-equilibriums, Inflection-source (sink) infinite-equilibriums, Hyperbolic (circular) sink-to source infinite-equilibriums, Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums.
Two-dimensional Product Cubic Systems, Vol. VII: Self- Quadratic Vector Fields
by Albert C. LuoThis book is the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the appearing bifurcations of the saddle-source and saddle-sink, and also the appearing bifurcations of the network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations include: • inflection-saddle infinite-equilibriums, • hyperbolic-source (sink) infinite-equilibriums, • up-down (down-up) saddle infinite-equilibriums, • inflection-source (sink) infinite-equilibriums.
Two-dimensional Self and Product Cubic Systems, Vol. I: Self-linear and Crossing-quadratic Product Vector Field
by Albert C. LuoThis book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are: double-inflection saddles, inflection-source (sink) flows, parabola-saddles (saddle-center), third-order parabola-saddles, third-order saddles (centers), third-order saddle-source (sink).
Two-dimensional Self and Product Cubic Systems, Vol. II: Crossing-linear and Self-quadratic Product Vector Field
by Albert C. LuoThis book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink)
Two-Dimensional Semiconductors: Synthesis, Physical Properties and Applications
by Jingbo Li Zhongming Wei Jun KangIn-depth overview of two-dimensional semiconductors from theoretical studies, properties to emerging applications! Two-dimensional (2D) materials have attracted enormous attention due to their exotic properties deriving from their ultrathin dimensions. 2D materials, such as graphene, transition metal dichalcogenides, transition metal oxides, black phosphorus and boron nitride, exhibit versatile optical, electronic, catalytic and mechanical properties, thus can be used in a wide range of applications, including electronics, optoelectronics and optical applications. Two-Dimensional Semiconductors: Synthesis, Physical Properties and Applications provides an in-depth view of 2D semiconductors from theoretical studies, properties to applications, taking into account the current state of research and development. It introduces various preparation methods and describes in detail the physical properties of 2D semiconductors including 2D alloys and heterostructures. The covered applications include, but are not limited to, field-effect transistors, spintronics, solar cells, photodetectors, light-emitting diode, sensors and bioelectronics. Highly topical: 2D materials are a rapidly advancing field that attracts increasing attention Concise overview: covers theoretical studies, preparation methods, physical properties, potential applications, the challenges and opportunities Application oriented: focuses on 2D semiconductors that can be used in various applications such as field-effect transistors, solar cells, sensors and bioelectronics Highly relevant: newcomers as well as experienced researchers in the field of 2D materials will benefit from this book Two-Dimensional Semiconductors: Synthesis, Physical Properties and Applications is written for materials scientists, semiconductor and solid state physicists, electrical engineers, and readers working in the semiconductor industry.
Two-dimensional Signal Analysis
by René GarelloThis title sets out to show that 2-D signal analysis has its own role to play alongside signal processing and image processing. Concentrating its coverage on those 2-D signals coming from physical sensors (such as radars and sonars), the discussion explores a 2-D spectral approach but develops the modeling of 2-D signals and proposes several data-oriented analysis techniques for dealing with them. Coverage is also given to potential future developments in this area.
Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I: A Self-univariate Cubic Vector Field
by Albert C. LuoThis book is the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of self-variables and are discussed as the first part of the book. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-dimensional cubic systems are for the first time to be presented. Third-order source and sink flows are presented, and the third-order parabola flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order source and sink flows, and the second-order saddle flows with the first and third-order parabola flows, and the inflection flows. The appearing bifurcations in such cubic systems includes saddle flows and third-order source (sink) flows, inflection flows and third-order up (down)-parabola flows.
Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II: A Crossing-variable Cubic Vector Field
by Albert C. LuoThis book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-diemnsional cubic systems are for the first time to be presented. Third-order parabola flows are presented, and the upper and lower saddle flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order parabola flows, and inflection flows with the first source and sink flows, and the upper and lower-saddle flows. The appearing bifurcations in such cubic systems includes inflection flows and third-order parabola flows, upper and lower-saddle flows. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations
Two-Dimensional Superconductivity in Rare Earth Oxybismuthides with Unusual Valent Bismuth Square Net (Springer Theses)
by Ryosuke SeiThis book elucidates fascinating electronic phenomena of unusual Bi2-square net in layered R2O2Bi (R: rare earth) compounds using two approaches: the fabrication of epitaxial thin films and the synthesis of bulk polycrystalline powders. The Bi2-square net compounds are a promising platform to explore exotic physical properties originating from the interplay between a two-dimensional electronic state and strong spin–orbit coupling; however, there are few reports on Bi2-square net compounds due to the instability of unusual electronic configurations. The book presents the development of synthetic routes for R2O2Bi compounds, such as novel solid phase epitaxy techniques and chemical control of crystal structure, demonstrating the intrinsic physical properties of Bi2-square net for the first time. The most notable finding is the successful induction of two-dimensional superconductivity in Bi2-square net with the coexistence of rich electronic phases. The book also discusses the superconducting mechanisms and the effect of R cation substitution in detail and describes the mechanical properties of Bi2-square net. These findings overturn the results of previous studies of R2O2Bi. The book sheds light on hidden layered compounds, representing a significant advance in the field.
Two Dimensional Transition Metal Dichalcogenides: Synthesis, Properties, and Applications
by Narayanasamy Sabari Arul Vellalapalayam Devaraj NithyaThis book presents advanced synthesis techniques adopted to fabricate two-dimensional (2D) transition metal dichalcogenides (TMDs) materials with its enhanced properties towards their utilization in various applications such as, energy storage devices, photovoltaics, electrocatalysis, electronic devices, photocatalysts, sensing and biomedical applications. It provides detailed coverage on everything from the synthesis and properties to the applications and future prospects of research in 2D TMD nanomaterials.
Two-Dimensional Transition-Metal Dichalcogenides
by Alexander V. Kolobov Junji TominagaThis book summarizes the current status of theoretical and experimental progress in 2 dimensional graphene-like monolayers and few-layers of transition metal dichalcogenides (TMDCs). Semiconducting monolayer TMDCs, due to the presence of a direct gap, significantly extend the potential of low-dimensional nanomaterials for applications in nanoelectronics and nano-optoelectronics as well as flexible nano-electronics with unprecedented possibilities to control the gap by external stimuli. Strong quantum confinement results in extremely high exciton binding energies which forms an interesting platform for both fundamental studies and device applications. Breaking of spatial inversion symmetry in monolayers results in strong spin-valley coupling potentially leading to their use in valleytronics. Starting with the basic chemistry of transition metals, the reader is introduced to the rich field of transition metal dichalcogenides. After a chapter on three dimensional crystals and a description of top-down and bottom-up fabrication methods of few-layer and single layer structures, the fascinating world of two-dimensional TMDCs structures is presented with their unique atomic, electronic, and magnetic properties. The book covers in detail particular features associated with decreased dimensionality such as stability and phase-transitions in monolayers, the appearance of a direct gap, large binding energy of 2D excitons and trions and their dynamics, Raman scattering associated with decreased dimensionality, extraordinarily strong light-matter interaction, layer-dependent photoluminescence properties, new physics associated with the destruction of the spatial inversion symmetry of the bulk phase, spin-orbit and spin-valley couplings. The book concludes with chapters on engineered heterostructures and device applications such as a monolayer MoS2 transistor. Considering the explosive interest in physics and applications of two-dimensional materials, this book is a valuable source of information for material scientists and engineers working in the field as well as for the graduate students majoring in materials science.
Two-Dimensional Transition-Metal Dichalcogenides: Phase Engineering and Applications in Electronics and Optoelectronics
by Chi Sin Tang Xinmao Yin Andrew T. S. WeeTwo-Dimensional Transition-Metal Dichalcogenides Comprehensive resource covering rapid scientific and technological development of polymorphic two-dimensional transition-metal dichalcogenides (2D-TMDs) over a range of disciplines and applications Two-Dimensional Transition-Metal Dichalcogenides: Phase Engineering and Applications in Electronics and Optoelectronics provides a discussion on the history of phase engineering in 2D-TMDs as well as an in-depth treatment on the structural and electronic properties of 2D-TMDs in their respective polymorphic structures. The text addresses different forms of in-situ synthesis, phase transformation, and characterization methods for 2D-TMD materials and provides a comprehensive treatment of both the theoretical and experimental studies that have been conducted on 2D-TMDs in their respective phases. Two-Dimensional Transition-Metal Dichalcogenides includes further information on: Thermoelectric, fundamental spin-orbit structures, Weyl semi-metallic, and superconductive and related ferromagnetic properties that 2D-TMD materials possess Existing and prospective applications of 2D-TMDs in the field of electronics and optoelectronics as well as clean energy, catalysis, and memristors Magnetism and spin structures of polymorphic 2D-TMDs and further considerations on the challenges confronting the utilization of TMD-based systems Recent progress of mechanical exfoliation and the application in the study of 2D materials and other modern opportunities for progress in the field Two-Dimensional Transition-Metal Dichalcogenides provides in-depth review introducing the electronic properties of two-dimensional transition-metal dichalcogenides with updates to the phase engineering transition strategies and a diverse range of arising applications, making it an essential resource for scientists, chemists, physicists, and engineers across a wide range of disciplines.
Two-dimensional Two Product Cubic Systems, Vol. III: Self-linear and Crossing Quadratic Product Vector Fields
by Albert C. LuoThis book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks.
Two-dimensional Two-product Cubic Systems Vol. X: Crossing-linear and Self-quadratic Product Vector Fields
by Albert C. LuoThis book is the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle equilibriums described are the appearing bifurcations for saddle source and saddle-sink, and for a network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations are also presented, specifically: · Inflection-saddle infinite-equilibriums, · Hyperbolic (hyperbolic-secant)-sink and source infinite-equilibriums · Up-down and down-up saddle infinite-equilibriums, · Inflection-source (sink) infinite-equilibriums.
Two-dimensional Two-product Cubic Systems, Vol I: Different Product Structure Vector Fields
by Albert C. LuoThis book is the ninth of 15 related monographs, discusses a two product-cubic dynamical system possessing different product-cubic structures and the equilibrium and flow singularity and bifurcations for appearing and switching bifurcations. The appearing bifurcations herein are parabola-saddles, saddle-sources (sinks), hyperbolic-to-hyperbolic-secant flows, and inflection-source (sink) flows. The switching bifurcations for saddle-source (sink) with hyperbolic-to-hyperbolic-secant flows and parabola-saddles with inflection-source (sink) flows are based on the parabola-source (sink), parabola-saddles, inflection-saddles infinite-equilibriums. The switching bifurcations for the network of the simple equilibriums with hyperbolic flows are parabola-saddles and inflection-source (sink) on the inflection-source and sink infinite-equilibriums. Readers will learn new concepts, theory, phenomena, and analysis techniques. · Two-different product-cubic systems · Hybrid networks of higher-order equilibriums and flows · Hybrid series of simple equilibriums and hyperbolic flows · Higher-singular equilibrium appearing bifurcations · Higher-order singular flow appearing bifurcations · Parabola-source (sink) infinite-equilibriums · Parabola-saddle infinite-equilibriums · Inflection-saddle infinite-equilibriums · Inflection-source (sink) infinite-equilibriums · Infinite-equilibrium switching bifurcations.
Two-dimensional Product-cubic Systems, Vol.II: Product-quadratic Vector Fields
by Albert C. LuoThis book, the sixth of 15 related monographs, discusses singularity and networks of equilibriums and 1-diemsnional flows in product quadratic and cubic systems. The author explains how, in the networks, equilibriums have source, sink and saddles with counter-clockwise and clockwise centers and positive and negative saddles, and the 1-dimensional flows includes source and sink flows, parabola flows with hyperbolic and hyperbolic-secant flows. He further describes how the singular equilibriums are saddle-source (sink) and parabola-saddles for the appearing bifurcations, and the 1-dimensional singular flows are the hyperbolic-to-hyperbolic-secant flows and inflection source (sink) flows for 1-dimensional flow appearing bifurcations, and the switching bifurcations are based on the infinite-equilibriums, including inflection-source (sink), parabola-source (sink), up-down and down-up upper-saddle (lower-saddle), up-down (down-up) sink-to-source and source-to-sink, hyperbolic and hyperbolic-secant saddles. The diagonal-inflection upper-saddle and lower-saddle infinite-equilibriums are for the double switching bifurcations. The networks of hyperbolic flows with connected saddle, source and center are presented, and the networks of the hyperbolic flows with paralleled saddle and center are also illustrated. Readers will learn new concepts, theory, phenomena, and analysis techniques. Product-quadratic and product cubic systems Self-linear and crossing-quadratic product vector fields Self-quadratic and crossing-linear product vector fields Hybrid networks of equilibriums and 1-dimensional flows Up-down and down-up saddle infinite-equilibriums Up-down and down-up sink-to-source infinite-equilibriums Inflection-source (sink) Infinite-equilibriums Diagonal inflection saddle infinite-equilibriums Infinite-equilibrium switching bifurcations
Two-dimensional Self-independent Variable Cubic Nonlinear Systems
by Albert C. LuoThis book, the third of 15 related monographs, presents systematically a theory of self-independent cubic nonlinear systems. Here, at least one vector field is self-cubic, and the other vector field can be constant, self-linear, self-quadratic, or self-cubic. For constant vector fields in this book, the dynamical systems possess 1-dimensional flows, such as source, sink and saddle flows, plus third-order source and sink flows. For self-linear and self-cubic systems discussed, the dynamical systems possess source, sink and saddle equilibriums, saddle-source and saddle-sink, third-order sink and source (i.e, (3rd SI:SI)-sink and (3rdSO:SO)-source) and third-order source (i.e., (3rd SO:SI)-saddle, (3rd SI, SO)-saddle) . For self-quadratic and self-cubic systems, in addition to the first and third-order sink, source and saddles plus saddle-source and saddle-sink, there are (3:2)-saddle-sink and (3:2) saddle-source and double-saddles. For the two self-cubic systems, (3:3)-source, sink and saddles exist. Finally, the author describes that homoclinic orbits without centers can be formed, and the corresponding homoclinic networks of source, sink and saddles exists. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations
Two Percent Solutions for the Planet: 50 Low-Cost, Low-Tech, Nature-Based Practices for Combatting Hunger, Drought, and Climate Change
by null Courtney WhiteTwo Percent Solutions for the Planet profiles fifty innovative practices that soak up carbon dioxide in soils, reduce energy use, sustainably intensify food production, and increase water quality. The &“two percent&” refers to: the amount of new carbon in the soil needed to reap a wide variety of ecological and economic benefits; the percentage of the nation&’s population who are farmers and ranchers; and the low financial cost (in terms of GDP) needed to get this work done.As White explained in Grass, Soil, Hope, a highly efficient carbon cycle captures, stores, releases, and recaptures biochemical energy, mitigating climate change, increasing water storage capacities in soil, and making green plants grow. Best of all, we don&’t have to invent anything new—a wide variety of innovative ideas and methods that put carbon back into the soil have been field-tested and proven to be practical and profitable. They&’re mostly low-tech, too, relying on natural resources such as sunlight, green plants, animals, compost, beavers, creeks, and more.In Two Percent Solutions for the Planet, White expands what he calls the &“regenerative toolbox,&” to include holistic grazing, edible forests, biochar, weed-eating livestock, food co-ops, keyline plowing, restoration agriculture, bioenergy, aquaponics, animal power, Farm Hack, bees, bears, wildlife corridors, rainwater harvesting, native seeds, and various other projects from across the United States, as well as in Canada, Europe, and Australia. These short, engaging success stories will help readers connect the dots between diverse, exciting, and pragmatic practices, and inspire them to dig deeper into each individual story and concept, energized by the news that solutions do exist.