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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$ 66.00

    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...

  • Landmark Papers on Photorefractive Nonlinear Opticsby Pochi Yeh

    World Scientific Publishing Company 1995; US$ 98.00

    This book, intended for students, researchers and engineers, is a collection of classic papers on photorefractive nonlinear optics. Included are landmark papers on fundamental photorefractive phenomena, two-wave mixing, four-wave mixing, phase conjugators and resonators, material growth and physics, and applications in image processing, optical storage... more...

  • Global Dynamical Properties of Lotka-Volterra Systemsby Y. Takeuchi

    World Scientific Publishing Company 1996; US$ 58.00

    Mathematical ecology is a subject which recently attracts attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This book gives global dynamical properties of L-V systems. The properties analyzed are global stability of the equilibria, persistence or permanence... more...

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

    World Scientific Publishing Company 1996; US$ 66.00

    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...

  • Chaos and Complexity in Nonlinear Electronic Circuitsby M.J. Ogorzalek

    World Scientific Publishing Company 1997; US$ 82.00

    The basic procedures for designing and analysing electronic systems are based largely on the assumptions of linear behavior of the system. Nonlinearities inherent in all real applications very often cause unexpected and even strange behavior. This book presents an electronic engineer's perspective on chaos and complex behavior. It starts from... more...

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

    World Scientific Publishing Company 1998; US$ 100.00

    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...

  • Nonlinear Dynamics of Interacting Populationsby A.D. Bazykin

    World Scientific Publishing Company 1998; US$ 106.00

    This book contains a systematic study of ecological communities of two or three interacting populations. Starting from the Lotka–Volterra system, various regulating factors are considered, such as rates of birth and death, predation and competition. The different factors can have a stabilizing or a destabilizing effect on the community, and... more...

  • The Thermomechanics of Nonlinear Irreversible Behavioursby Gerard A. Maugin

    World Scientific Publishing Company 1999; US$ 86.00

    In this invaluable book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state. This applies to both fluids and solids with or without microstructures of mechanical or electromagnetic origin. This unmatched richness of essentially nonlinear behaviors is the result... more...

  • Nonlinear Periodic Waves and Their Modulationsby A.M. Kamchatnov

    World Scientific Publishing Company 2000; US$ 98.00

    Although the mathematical theory of nonlinear waves and solitons has made great progress, its applications to concrete physical problems are rather poor, especially when compared with the classical theory of linear dispersive waves and nonlinear fluid motion. The Whitham method, which describes the combining action of the dispersive and nonlinear effects... more...

  • Dynamical Systemsby Jean-Marc Gambaudo; P. Hubert; P. Tisseur; S. Vaienti

    World Scientific Publishing Company 2000; US$ 118.00

    This book focuses on the interactions between discrete and geometric dynamical systems, and between dynamical systems and theoretical physics and computer science. Accordingly, the contributions revolve around two main topics: (1) interaction between geometric and symbolic systems, with emphasis on tiling problems for quasicrystals, substitutions and... more...