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Nonlinear theories --- Dynamics --- Chaotic behavior in systems
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Featuring contributions from those in a variety of fields of statistics, ecology, economics and finance, this book contains extensions of Howell Tong's threshold approach to other fields of statistics abound.
Time-series analysis. --- Nonlinear theories. --- Tong, Howell.
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This book is a collection of lecture notes on Nonlinear Conservation Laws, Fluid Systems and Related Topics delivered at the 2007 Shanghai Mathematics Summer School held at Fudan University, China, by world's leading experts in the field. The volume comprises five chapters that cover a range of topics from mathematical theory and numerical approximation of both incompressible and compressible fluid flows, kinetic theory and conservation laws, to statistical theories for fluid systems. Researchers and graduate students who want to work in this field will benefit from this essential reference as
Conservation laws (Mathematics). --- Fluid dynamics -- Mathematics. --- Nonlinear theories. --- Fluid dynamics --- Conservation laws (Mathematics) --- Nonlinear theories --- Mathematics
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Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes I and II are exposed via their stunningly revealing basin tree diagrams. The Bernoulli στ-shift dynamics discovered in Volume II is generalized to hold for all 50 (or 18 globally equivalent) local rules via complex and hyper Bernoulli wave dynamics. E
Cellular automata. --- Computational complexity. --- Dynamics. --- Nonlinear theories. --- Wolfram, Stephen,
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Signal processing --- Nonlinear theories. --- Traitement du signal --- Théories non linéaires. --- Mathematics. --- Mathématiques.
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Adaptive filters --- Filters (Mathematics) --- Nonlinear theories --- Neural networks (Computer science) --- Neural Networks, Computer --- Mathematical models
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Spin Waves: Theory and Applications covers topics foundational to understanding spin waves such as the physics of magnetism and electromagnetic waves in anisotropic media, as well as both classical and quantum mechanical treatments of spin wave excitations. The authors discuss many applications including microwave delay lines, spin wave-optical devices, and microwave oscillations induced by spin transfer torques in multilayer structures. The material provides explanations and developments of concepts that assist students and researchers interested in beginning work on topics related to magnetic excitations. The book can be divided into three major parts. The first is comprised of Chapters 1-4 and is concerned with the physics of magnetism and electromagnetic waves in magnetic media. The second part, Chapters 5-8, focuses on magnetostatic modes and dipolar spin waves, their properties, how to excite them, and how they interact with light. Finally, Chapters 9 and 10 treat nonlinear phenomena and advanced applications of spin wave excitations. Spin Waves: Theory and Applications provides an introduction to an active area of research and a handy reference for workers in the field. The material is useful for graduate students in physics, materials science, or electrical engineering as well as active researchers in fundamental and applied magnetism.
beeldverwerking --- Applied physical engineering --- Computer. Automation --- elektrotechniek --- spectrometrie --- Electromagnetism. Ferromagnetism --- Electronics --- elektronica --- signaalverwerking --- Spectrometric and optical chemical analysis --- magnetisme --- Electrical engineering --- Nonlinear theories. --- Nuclear magnetism. --- Spin waves.
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This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, reaction diffusion driven chemical pattern formation, solitons and neuron dynamics. Included is a discussion of processes from the viewpoints of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the su
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This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and single-output systems. The control methods presented in this book will be valuable for research on nonlinear systems with stationary sets.
Nonlinear control theory. --- Set theory. --- Aggregates --- Classes (Mathematics) --- Ensembles (Mathematics) --- Mathematical sets --- Sets (Mathematics) --- Theory of sets --- Logic, Symbolic and mathematical --- Mathematics --- Control theory --- Nonlinear theories
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In the last decade methods and techniques based on supersymmetry have provided deep insights in quantum chromodynamics and other nonsupersymmetric gauge theories at strong coupling. This book summarizes major advances in critical solitons in supersymmetric theories, and their implications for understanding basic dynamical regularities of nonsupersymmetric theories. After an extended introduction on the theory of critical solitons, including a historical introduction, the authors focus on three topics: non-Abelian strings and confined monopoles; reducing the level of supersymmetry; and domain walls as D brane prototypes. They also provide a thorough review of issues at the cutting edge, such as non-Abelian flux tubes. The book presents an extensive summary of the current literature so researchers in this field can understand the background and related issues.
Solitons. --- Supersymmetry. --- Unified theories --- Particles (Nuclear physics) --- Symmetry (Physics) --- Pulses, Solitary wave --- Solitary wave pulses --- Wave pulses, Solitary --- Connections (Mathematics) --- Nonlinear theories --- Wave-motion, Theory of
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