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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.

Statistical physics --- Mathematical physics --- Differential geometry. Global analysis --- Chaotic behavior in systems. --- Fluid dynamics. --- Self-organizing systems. --- Chaos --- Fluides, Dynamique des --- Systèmes auto-organisés --- 544.431.8 --- Periodic (oscillatory) reactions. Belousov-Zschabotinkskij reactions. Chaos, bifurcations and self-organization in chemical systems --- Systèmes auto-organisés --- Chaotic behavior in systems --- Fluid dynamics --- Self-organizing systems --- Learning systems (Automatic control) --- Self-optimizing systems --- Cybernetics --- Intellect --- Learning ability --- Synergetics --- Dynamics --- Fluid mechanics --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Nonlinear theories --- System theory --- Statistical physics. --- Dynamical systems. --- Thermodynamics. --- Physical chemistry. --- Chemistry, Physical and theoretical. --- Complex Systems. --- Physical Chemistry. --- Theoretical and Computational Chemistry. --- Statistical Physics and Dynamical Systems. --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Chemistry, Physical and theoretical --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics --- Mathematical statistics --- Statistical methods