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" Spectral theory and mathematical physics : "
Fritz Gesztesy ... [et al.], editors
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BL
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578441
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b407660
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| Main Entry
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Mori, Hazime.
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| Title & Author
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Dissipative Structures and Chaos\ by Hazime Mori, Yoshiki Kuramoto.
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| Publication Statement
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Berlin, Heidelberg :: Springer Berlin Heidelberg,, 1998.
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| ISBN
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9783642803765
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: 9783642803789
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| Contents
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I. Dissipative Structures -- 1. A Representative Example of Dissipative Structure -- 2. Amplitude Equations and Their Applications -- 3. Reaction-Diffusion Systems and Interface Dynamics -- 4. Phase Dynamics -- 5. Foundations of Reduction Theory -- Supplement I: Dynamics of Coupled Oscillator Systems -- II. The Structure and Physics of Chaos -- 6. A Physical Approach to Chaos -- 7. Bifurcation Phenomena of Dissipative Dynamical Systems -- 8. The Statistical Physics of Aperiodic Motion -- 9 Chaotic Bifurcations and Critical Phenomena -- 10. Mixing and Diffusion in Chaos of Conservative Systems -- Supplement II: On the Structure of Chaos -- A. Appendix -- A.1 Periodic Points of Conservative Maps and Their Neighborhoods -- A.2 Variance and the Time Correlation Function -- A.3 The Cantor Repellor of Intermittent Chaos.
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| Abstract
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This monograph consists of two parts and gives an approach to the physics of open nonequilibrium systems. Part I derives the phenomena of dissipative structures on the basis of reduced evolution equations and includes Bénard convection and Belousov-Zhabotinskii chemical reactions. Part II discusses the physics and structures of chaos. While presenting a construction of the statistical physics of chaos, the authors unify the geometrical and statistical descriptions of dynamical systems. The shape of chaotic attractors is characterized, as are the mixing and diffusion of chaotic orbits and the fluctuation of energy dissipation exhibited by chaotic systems.
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Physics.
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Chemistry, Physical organic.
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Chemistry.
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Thermodynamics.
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| Added Entry
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Kuramoto, Yoshiki.
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SpringerLink (Online service)
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