The theory of nonlinear dynamics and chaos, and the extent to which recent improvements in the understanding of inherently nonlinear natural processes present challenges to the use of mathematical models in the analysis of water and environmental systems, are elaborated in this work.
Chaotic Signals in Digital Communications combines fundamental background knowledge with state-of-the-art methods for using chaotic signals and systems in digital communications.
Open this book and you will Discover the origins of chaos theory Investigate complex systems Understand the causes of chaos Become aware of its everyday implications
Complex Dynamics: Families and Friends features contributions by many of the leading mathematicians in the field, such as Mikhail Lyubich, John Milnor, Mitsuhiro Shishikura, and William Thurston.
Offers Both Standard and Novel Approaches for the Modeling of SystemsExamines the Interesting Behavior of Particular Classes of ModelsChaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms presents the main models developed by pioneers of chaos theory, along with new extensions and variations of these models.
From ancient soothsayers and astrologists to today's pollsters and economists, probability theory has long been used to predict the future on the basis of past and present knowledge.
This book focuses on explaining the fundamentals of the physics and mathematics of chaotic phenomena by studying examples from one-dimensional maps and simple differential equations.
Sharkovsky's Theorem, Li and Yorke's "e;period three implies chaos"e; result, and the (3x+1) conjecture are beautiful and deep results that demonstrate the rich periodic character of first-order, nonlinear difference equations.
While maintaining the lucidity of the first edition, Discrete Chaos, Second Edition: With Applications in Science and Engineering now includes many recent results on global stability, bifurcation, chaos, and fractals.
Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet research within this broad field is becoming increasingly mathematical.
Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks.
Chaotic Signals in Digital Communications combines fundamental background knowledge with state-of-the-art methods for using chaotic signals and systems in digital communications.
This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics and resulting complex fractal sets, through the generalizations of Julia and Mandelbrot sets on a complex plane and the Holy Grail of the fractal geometry - a 3D Mandelbrot set, and ending with hypercomplex, multicomplex and multihypercomplex fractal sets which are still under consideration of scientists.
This book presents concisely the full story on complex and hypercomplex fractals, starting from the very first steps in complex dynamics and resulting complex fractal sets, through the generalizations of Julia and Mandelbrot sets on a complex plane and the Holy Grail of the fractal geometry - a 3D Mandelbrot set, and ending with hypercomplex, multicomplex and multihypercomplex fractal sets which are still under consideration of scientists.
In this extensive work, the authors give a complete self-contained exposition on the subject of classic function theory and the most recent developments in transcendental iteration.
In this extensive work, the authors give a complete self-contained exposition on the subject of classic function theory and the most recent developments in transcendental iteration.
Nature provides many examples of physical systems that are described by deterministic equations of motion, but that nevertheless exhibit nonpredictable behavior.
Nature provides many examples of physical systems that are described by deterministic equations of motion, but that nevertheless exhibit nonpredictable behavior.
A collection of prestigious postgraduate lectures, Nonlinear Dynamics and Spatial Complexity in Optical Systems reviews developments in the theory and practice of nonlinear dynamics and structural complexity, and explores modern-day applications in nonlinear optics.
A collection of prestigious postgraduate lectures, Nonlinear Dynamics and Spatial Complexity in Optical Systems reviews developments in the theory and practice of nonlinear dynamics and structural complexity, and explores modern-day applications in nonlinear optics.
From its original meaning as a gaping void, or the emptiness that precedes the whole of creation, chaos has taken on the exclusive meaning of confusion, pandemonium and mayhem.
From its original meaning as a gaping void, or the emptiness that precedes the whole of creation, chaos has taken on the exclusive meaning of confusion, pandemonium and mayhem.
'I don't know what's the matter with me - everything's upside down; the whole world seems chaotic'Chaos may erupt in our lives in many different ways - through death, divorce, conflict with family, friends or colleagues.
'I don't know what's the matter with me - everything's upside down; the whole world seems chaotic'Chaos may erupt in our lives in many different ways - through death, divorce, conflict with family, friends or colleagues.
This book presents some exceptional developments in chaotic attractor theory encompassing several new directions of research such as three-dimensional axiom A-diffeomorphisms, Shilnikov attractors, dendrites and finite graphs.
This book is the fourth in a series based on conferences sponsored by the Metroplex Institute for Neural Dynamics (MIND), an interdisciplinary organization of Dallas-Fort Worth area neural network professionals in both academia and industry.
This book is the fourth in a series based on conferences sponsored by the Metroplex Institute for Neural Dynamics (MIND), an interdisciplinary organization of Dallas-Fort Worth area neural network professionals in both academia and industry.
Fusing two key concerns of contemporary sociology: globalization and its discontents, and the 'complexity turn' in social theory, authors Chesters and Welsh utilize complexity theory to analyze the shifting constellation of social movement networks that constitute opposition to neo-liberal globalization.
Fusing two key concerns of contemporary sociology: globalization and its discontents, and the 'complexity turn' in social theory, authors Chesters and Welsh utilize complexity theory to analyze the shifting constellation of social movement networks that constitute opposition to neo-liberal globalization.
