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Mathematics. --- Chaotic behavior in systems --- Physics --- System theory --- Chaotic behavior in systems --- Physics --- System theory

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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.

Chaotic behavior in systems. --- Differentiable dynamical systems. --- Nonlinear theories.

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Chaotic behavior in systems --- Lasers --- Masers --- Nonlinear optics --- Quantum optics --- Congresses.

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Cristaux metalliques --- Metaalkristallen --- Metal crystals --- Chaotic behavior in systems --- Chemistry, Physical and theoretical --- Fractals --- Knot theory --- Quantum theory --- Quasicrystals --- Congresses. --- Mathematics --- Congresses

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Celestial mechanics --- 52 --- Astrophysics --- -Chaotic behavior in systems --- -Few-body problem --- -Problem of few bodies --- Nuclear physics --- Quantum theory --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Astronomie. Astrofysica. Ruimteonderzoek. Geodesie --- Congresses --- -Astronomie. Astrofysica. Ruimteonderzoek. Geodesie --- Chaotic behavior in systems --- Few-body problem --- Chaotisch gedrag in systemen. (Congres) --- nCorps (Problème). (Congrès) --- Comportement chaotique dans les systèmes. (Congrès) --- Veellichamenprobleem. (Congres)