Chaotic behaviour of deterministic dissipative systems / Miloš Marek and Igor Schreiber.

Call Number	003
Author	Marek, Miloš, author.
Title	Chaotic behaviour of deterministic dissipative systems / Miloš Marek and Igor Schreiber.
Physical Description	1 online resource (x, 367 pages) : digital, PDF file(s).
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Summary	This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple, deterministic, nonlinear mathematical models that describe dynamic phenomena in various physical, chemical, biological and other systems yield solutions which are aperiodic and depend very sensitively on the initial conditions. This phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the theory of dynamical systems and bifurcation theory, together with the properties of chaotic solutions, are then described and are illustrated by examples. A review of the numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided.
Added Author	Schreiber, Igor, author.
Subject	CHAOTIC BEHAVIOR IN SYSTEMS. DIFFERENTIABLE DYNAMICAL SYSTEMS. NONLINEAR THEORIES.
Multimedia	https://doi.org/10.1017/CBO9780511608162

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$a This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple, deterministic, nonlinear mathematical models that describe dynamic phenomena in various physical, chemical, biological and other systems yield solutions which are aperiodic and depend very sensitively on the initial conditions. This phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the theory of dynamical systems and bifurcation theory, together with the properties of chaotic solutions, are then described and are illustrated by examples. A review of the numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided.

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Summary	This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple, deterministic, nonlinear mathematical models that describe dynamic phenomena in various physical, chemical, biological and other systems yield solutions which are aperiodic and depend very sensitively on the initial conditions. This phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the theory of dynamical systems and bifurcation theory, together with the properties of chaotic solutions, are then described and are illustrated by examples. A review of the numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided.
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject	CHAOTIC BEHAVIOR IN SYSTEMS. DIFFERENTIABLE DYNAMICAL SYSTEMS. NONLINEAR THEORIES.
Multimedia	https://doi.org/10.1017/CBO9780511608162