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Chaotic Behavior in Systems

Most popular at the top

  • Nonlinear Physicsby Mark J. Ablowitz; M. Boiti; F. Pempinelli; B. Prinari

    World Scientific Publishing Company 2003; US$ 242.00

    The theory of solitons involves a broad variety of mathematical methods and appears in many areas of physics, technology, biology, and pure and applied mathematics. In this book, emphasis is placed on both theory (considering mathematical approaches for classical and quantum nonlinear systems — both continuous and discrete) and experiment (with... more...

  • Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuitiesby Marian Wiercigroch; Bram De Kraker

    World Scientific Publishing Company 2000; US$ 141.00

    Rapid developments in nonlinear dynamics and chaos theory have led to publication of many valuable monographs and books. However, most of these texts are devoted to the classical nonlinear dynamics systems, for example the Duffing or van der Pol oscillators, and either neglect or refer only briefly to systems with motion-dependent discontinuities.... more...

  • Applied Symbolic Dynamics and Chaosby Bai-Lin Hao; Wei-Mou Zheng

    World Scientific Publishing Company 1998; US$ 110.00

    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 well as by ordinary differential equations. This book will help practitioners... more...

  • Synchronization in Coupled Chaotic Circuits & Systemsby Chai Wah Wu

    World Scientific Publishing Company 2002; US$ 57.00

    This invaluable book studies synchronization of coupled chaotic circuits and systems, as well as its applications. It shows how one can use stability results in nonlinear control to derive synchronization criteria for coupled chaotic circuits and systems. It also discusses the use of Lyapunov exponents in deriving synchronization criteria. Both the... more...

  • Spatio-Temporal Chaos & Vacuum Fluctuations of Quantized Fieldsby Christian Beck

    World Scientific Publishing Company 2002; US$ 90.00

    This book describes new applications for spatio-temporal chaotic dynamical systems in elementary particle physics and quantum field theories. The stochastic quantization approach of Parisi and Wu is extended to more general deterministic chaotic processes as generated by coupled map lattices. In particular, so-called chaotic strings are introduced... more...

  • Symmetry and Perturbation Theoryby Simonetta Abenda; Giuseppe Gaeta; Sebastian Walcher

    World Scientific Publishing Company 2003; US$ 154.00

    This is the fourth conference on “Supersymmetry and Perturbation Theory” (SPT 2002). The proceedings present original results and state-of-the-art reviews on topics related to symmetry, integrability and perturbation theory, etc. Contents: An Outline of the Geometrical Theory of the Separation of Variables in the Hamilton-Jacobi and Schrödinger... more...

  • Chemical and Biological Processes in Fluid Flowsby Zoltán Neufeld; Emilio Hernández-García

    World Scientific Publishing Company 2009; US$ 96.00

    Many chemical and biological processes take place in fluid environments in constant motion — chemical reactions in the atmosphere, biological population dynamics in the ocean, chemical reactors, combustion, and microfluidic devices. Applications of concepts from the field of nonlinear dynamical systems have led to significant progress over the... more...

  • Synchronization in Complex Networks of Nonlinear Dynamical Systemsby Chai Wah Wu

    World Scientific Publishing Company 2007; US$ 70.00

    This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in chaotic systems or properties of complex networks, there are few texts that consider... more...

  • Perspectives and Challenges in Statistical Physics and Complex Systems for the Next Decadeby Gandhimohan M. Viswanathan; Ernesto P. Raposo

    World Scientific Publishing Company 2014; US$ 94.00

    Statistical Physics (SP) has followed an unusual evolutionary path in science. Originally aiming to provide a fundamental basis for another important branch of Physics, namely Thermodynamics, SP gradually became an independent field of research in its own right. But despite more than a century of steady progress, there are still plenty of challenges... more...

  • Neuronsby Masayoshi Hata

    World Scientific Publishing Company 2014; US$ 76.00

    This unique volume presents a fruitful and beautiful mathematical world hidden in Caianiello's neuronic equations, which describe the instantaneous behavior of a model of a brain or thinking machine. The detailed analysis from a viewpoint of “dynamical systems”, even in a single neuron case, enables us to obtain amazingly good... more...