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