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Chaos Theory
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Order Out of Chaos

Order Out of Chaos


Alvin Toffler, Ilya Prigogine, Isabelle Stengers



Ilya Prigogine, winner of the Nobel Prize in 1977 for his work on the thermodynamics of non-equilibrium systems, makes his ideas a...
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Nonlinear Waves and Solitons on Contours and Closed Surfaces

Nonlinear Waves and Solitons on Contours and Closed Surfaces


Andrei Ludu



This volume is an introduction to nonlinear waves and soliton theory in the special environment of c...
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Long-range Interactions, Stochasticity and Fractional Dynamics: Dedicated to George M. Zaslavsky (1935 - 2008)

Long-range Interactions, Stochasticity and Fractional Dynamics: Dedicated to George M. Zaslavsky (1935 - 2008)


Luo A.C.J., Afraimovich V.



In memory of Dr. George Zaslavsky, "Long-range Interactions, Stochasticity and Fractional Dynamics" covers the recent developments...
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Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935 - 2008)

Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935 - 2008)


Luo A.C.J., Afraimovich V.



“Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935—2008)” covers the recent dev...
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The Chaotic Pendulum

The Chaotic Pendulum


Moshe Gitterman



Pendulum is the simplest nonlinear system, which, however, provides the means for the description of different phenomena in Nature...
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Regularity and Complexity in Dynamical Systems

Regularity and Complexity in Dynamical Systems


Albert C. J. Luo



Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical...
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Quantum Chaos: Between Order and Disorder

Quantum Chaos: Between Order and Disorder


Giulio Casati, Boris Chirikov



"...a valuable reference for two purposes: On the one hand, it records important developments in th...
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Disrupted Networks: From Physics to Climate Change (Studies of Nonlinear Phenomena in Life Science) (Studies in Nonlinear Phenomena in Life Science)

Disrupted Networks: From Physics to Climate Change (Studies of Nonlinear Phenomena in Life Science) (Studies in Nonlinear Phenomena in Life Science)


Bruce J. West, Nicola Scafetta



This book provides a lens through which modern society is shown to depend on complex networks for its stability. One way to achiev...
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Modeling Multi-Level Systems

Modeling Multi-Level Systems


Octavian Iordache



This book is devoted to modeling of multi-level complex systems, a challenging domain for engineers,...
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Extracting Knowledge From Time Series: An Introduction to Nonlinear Empirical Modeling (Springer Series in Synergetics)

Extracting Knowledge From Time Series: An Introduction to Nonlinear Empirical Modeling (Springer Series in Synergetics)


Boris P. Bezruchko, Dmitry A. Smirnov



From the reviews: “Extracting knowledge from time series is a very neat title–it exact...
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An Introduction to Symbolic Dynamics and Coding

An Introduction to Symbolic Dynamics and Coding


Brian Marcus, Douglas Lind



"The book is well organized, and lucidly written. It is completely rigorous and yet easy to read......
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Synchronization in coupled chaotic circuits and systems (World Scientific series on nonlinear science. Series A, Monographs and treatises; v. 41)

Synchronization in coupled chaotic circuits and systems (World Scientific series on nonlinear science. Series A, Monographs and treatises; v. 41)


Chai Wah Wu



...the book is mathematically oriented and adequately formal for anyone interested in getting a good...
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Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches

Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches


Nicolae Herisanu, Vasile Marinca



This book  presents and extends different known methods to solve different types of strong nonl...
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Fractional Dynamics and Control

Fractional Dynamics and Control


Albert C. J. Luo, Dumitru Baleanu, José António Tenreiro Machado



Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of...
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A Nonlinear Dynamics Perspective of Wolfram’s New Kind of Science, Vol. 4

A Nonlinear Dynamics Perspective of Wolfram’s New Kind of Science, Vol. 4


Leon O. Chua



Leon Chua is a foreign member of the Academia Europea and a recipient of eight USA patents and 12 do...
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Domain of Attraction: Analysis and Control via SOS Programming

Domain of Attraction: Analysis and Control via SOS Programming


Graziano Chesi



The stability of equilibrium points plays a fundamental role in dynamical systems. For nonlinear dyna...
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Solving Nonlinear Partial Differential Equations with Maple and Mathematica

Solving Nonlinear Partial Differential Equations with Maple and Mathematica


Carlos Lizárraga-Celaya, Inna Shingareva



The Maple and Mathematica scripts for the book, can be downloaded from the ADDITIONAL INFORMATION sec...
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Wave Turbulence

Wave Turbulence


Sergey Nazarenko



From the reviews: “The author, Prof. S. Nazarenko, is a theoretical physicist and a widely kno...
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Modern Mathematical Tools and Techniques in Capturing Complexity

Modern Mathematical Tools and Techniques in Capturing Complexity


Leandro Pardo, Maria Angeles Gil, Narayanaswamy Balakrishnan



Real-life problems are often quite complicated and, for centuries, Mathematics has provided the neces...
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Self-organization and Pattern-formation in Neuronal Systems Under Conditions of Variable Gravity: Life Sciences Under Space Conditions

Self-organization and Pattern-formation in Neuronal Systems Under Conditions of Variable Gravity: Life Sciences Under Space Conditions


Florian P.M. Kohn, Harald Rosner, Meike Wiedemann, Wolfgang R.L. Hanke



"Self-organization and Pattern-formation in Neuronal Systems Under Conditions of Variable Gravity: Life Sciences Under Space Condi...
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Stochastic Controls: Hamiltonian Systems and HJB Equations (Stochastic Modelling and Applied Probability 43)

Stochastic Controls: Hamiltonian Systems and HJB Equations (Stochastic Modelling and Applied Probability 43)


Jiongmin Yong, Xun Yu Zhou



From the reviews: SIAM REVIEW "The presentation of this book is systematic and self-contained&#...
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Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation

Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation


Ivo Petras



"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accom...
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Chua's circuit implementations: yesterday, today, and tomorrow

Chua's circuit implementations: yesterday, today, and tomorrow


Luigi Fortuna, Maria Gabriella Xibilia, Mattia Frasca



Since the birth of the Chua circuit in 1983, a considerable number of fruitful, fascinating and relevant research topics have aris...
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Frontiers in the Study of Chaotic Dynamical Systems With Open Problems (World Scientific Series on Nonlinear Science, Series B)

Frontiers in the Study of Chaotic Dynamical Systems With Open Problems (World Scientific Series on Nonlinear Science, Series B)


Elhadj Zeraoulia



This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problem...
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Dynamiques complexes et morphogenèse : Introduction aux sciences non linéaires

Dynamiques complexes et morphogenèse : Introduction aux sciences non linéaires


Chaouqi Misbah



Les sciences non linéaires ont pour objet l’ensemble des phénomènes dont l ...
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