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Chaotic Behavior in Systems

Most popular at the top

  • Rayleigh-Benard Convectionby A.V. Getling

    World Scientific Publishing Company 1998; US$ 62.00

    This invaluable book presents a concise but systematic account of the formation of spatial flow structures in a horizontal fluid layer heated from below. Flows of this type, known as Rayleigh-Bénard convection, show important features of behaviour inherent not only in various hydrodynamic-instability phenomena but also in nonlinear pattern-forming... more...

  • Renormalization and Geometry in One-Dimensional and Complex Dynamicsby Y.P. Jiang

    World Scientific Publishing Company 1996; US$ 62.00

    About one and a half decades ago, Feigenbaum observed that bifurcations, from simple dynamics to complicated ones, in a family of folding mappings like quadratic polynomials follow a universal rule (Coullet and Tresser did some similar observation independently). This observation opened a new way to understanding transition from nonchaotic systems... more...

  • Solving Nonlinear Partial Differential Equations with Maple and Mathematicaby Inna Shingareva; Carlos Lizárraga-Celaya

    Springer Vienna 2011; US$ 124.00

    This volume shows how to construct solutions of numerous nonlinear PDEs quickly and easily. The text discusses comparisons and relationships between the varying solutions, methods and approaches. more...

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

    World Scientific Publishing Company 2002; US$ 84.00

    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...

  • Spin Glasses and Complexityby Daniel L. Stein; Charles M. Newman

    Princeton University Press 2013; US$ 43.95

    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. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important,... more...

  • Stochastically Excited Nonlinear Ocean Structuresby M.F. Shleginger; T. Swean

    World Scientific Publishing Company 1998; US$ 94.00

    Ocean structures, including ships, boats, piers, docks, rigs and platforms, are subject to fair weather wind and waves, as well as violent storms. A scientific analysis of these structures, under varying conditions, requires a mix of civil engineering, physics and applied mathematics. Chapters by experts in these fields are presented which explore... more...

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

    World Scientific Publishing Company 2003; US$ 144.00

    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...

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

    World Scientific Publishing Company 2007; US$ 62.00

    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...

  • Synchronization in Coupled Chaotic Circuits & Systemsby Chai Wah Wu

    World Scientific Publishing Company 2002; US$ 53.00

    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...

  • Synergeticsby Michael Bushev

    World Scientific Publishing Company 1994; US$ 64.00

    For centuries, humankind has believed that the world with all its form and structure was created by supernatural forces. In recent decades science has shaken these beliefs with the discovery of the exciting possibility of a self-created and self-creating world — of self-organization. Synergetics endeavours to reveal the intimate mechanisms of... more...