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Fractals in Natural Sciences
edited by T Vicsek (Eötvös University, Hungary), M Shlesinger (Office of Naval Research, USA) & M Matsushita (Chuo University, Japan)

During the last couple of years, fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields including biology, chemistry, earth sciences, physics and technology. Using fractal geometry as a... more info

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CNN: A Paradigm for Complexity
by Leon O Chua (University of California, Berkeley)

Revolutionary and original, this treatise presents a new paradigm of EMERGENCE and COMPLEXITY, with applications drawn from numerous disciplines, including artificial life, biology, chemistry, computation, physics, image processing, information science, etc... more info

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Applied Symbolic Dynamics and Chaos
by Bai-Lin Hao & Wei-Mou Zheng (Academia Sinica, China)

Symbolic dynamics is a coarse-grained description of dynamics. It provides a rigorous way to understand the global systematics of periodic and chaotic motion in a system. In the last decade it has been applied to nonlinear systems described by one- and two-dimensional maps as... more info

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Integrability and Nonintegrability of Dynamical Systems
by Alain Goriely (University of Arizona, USA)

This invaluable book examines qualitative and quantitative methods for nonlinear differential equations, as well as integrability and nonintegrability theory. Starting from the idea of a constant of motion for simple systems of differential equations, it investigates the essence... more info

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Chaos in Nonlinear Oscillators: Controlling and Synchronization
by M Lakshmanan & K Murali (Bharathidasan Univ.)

This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits... more info

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Introduction to Nonlinear Dynamics For Physicists
by H D I Abarbanel, M I Rabinovich & M M Sushchik (UC, San Diego)

This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the... more info

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Smooth Dynamical Systems
by M C Irwin (Formerly of University of Liverpool, UK)

This is a reprint of M C Irwin's beautiful book, first published in 1980. The material covered continues to provide the basis for current research in the mathematics of dynamical systems. The book is essential reading for all who want to master this area... more info

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Nonlinear Time Series Analysis: Methods and Applications
by Cees Diks (University of Kent)

Methods of nonlinear time series analysis are discussed from a dynamical systems perspective on the one hand, and from a statistical perspective on the other. After giving an informal overview of the theory of dynamical systems relevant to the analysis of deterministic time series... more info

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Dynamics of Nonlinear and Disordered Systems
edited by G Martínez-Mekler & T H Seligman (UNAM, Mexico)

This book deals with a series of topics on the cutting edge of nonlinear science, striking a balance between theory and experiment. It consists of two innovative introductory presentations on dynamical systems and fluid dynamics and six chapters on advanced research. A nontrivial... more info

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Emergent Nature: Patterns, Growth and Scaling in the Sciences
edited by Miroslav M Novak (Kingston University, UK)

This book, based on presentations made at the international conference Fractals 2002, is of interest to everyone in the general field of nonlinear dynamics. The abundance of papers from numerous disciplines makes it exciting reading and provides a unifying... more info

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Dynamical Chaos - Models and Experiments: Appearance Routes and Structure of Chaos in Simple Dynamical Systems
by Vadim Anishchenko (Saratov State Univ.)

In this book, bifurcational mechanisms of the development, structure and properties of chaotic attractors are investigated by numerical and physical experiments based on the methods of the modern theory of nonlinear oscillations. The typical bifurcations of regular and chaotic... more info

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Attractors of Quasiperiodically Forced Systems
by Tomasz Kapitaniak & Jerzy Wojewoda (Tech. Univ. Lodz, Poland)

This book discusses the influence of quasiperiodic force on dynamical system. With this type of forcing, different types of attractors are possible, for example, strange nonchaotic attractors which have some unusual properties... more info

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Methods of Qualitative Theory in Nonlinear Dynamics (Part I)
by Leonid P Shilnikov, Andrey L Shilnikov, Dmitry V Turaev (Research Institute for Applied Mathematics & Cybernetics, Russia) & Leon O Chua (University of California, Berkeley)

Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous... more info

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Methods of Qualitative Theory in Nonlinear Dynamics (Part II)
by Leonid P Shilnikov, Andrey L Shilnikov, Dmitry V Turaev (Research Institute for Applied Mathematics & Cybernetics, Russia) & Leon O Chua (University of California, Berkeley, USA)

Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous... more info

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Peyresq Lectures on Nonlinear Phenomena
edited by Robin Kaiser & James Montaldi (Institut Non Linéaire de Nice, France)

Nonlinear science has a very broad scope and the aim of this volume of lectures is to introduce different aspects of this vast domain to research students whose studies are necessarily concentrated on only one. The lectures given at summer schools in... more info

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Topics in Nonlinear Dynamics: Applications to Physics, Biology and Economic Systems
by Erik Mosekilde (Technical University of Denmark)

Nonlinear science has a very broad scope and the aim of this volume of lectures is to introduce different aspects of this vast domain to research students whose studies are necessarily concentrated on only one. The lectures given at summer schools in... more info

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all titles | chaos | chemistry | engineering | environmental science | general interest | popular science | science history | physics