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Table of Contents: “... Searching Be-haviors -- Phase Space Reconstruction and Recurrence Plot Theory ....”

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Table of Contents: “...Introduction -- Ultracold Bose Gases in Optical Lattices -- Phase Space Methods for Quantum Dynamics -- Response of the Higgs Mode in a Three Dimensional Optical Lattice -- Semiclassical Quench Dynamics of Bose Gases in Optical Lattices -- Conclusions...”

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Table of Contents: “...Introduction -- A Primer in Probability -- Phase Space Probability Distributions for Various External Conditions -- Relating Probability Density Functions to the Behaviour of Systems -- The Strategy of Nested Sampling -- Nested Sampling for Materials...”

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Table of Contents: “... -- Kinetic Theory of a Dense Simple Fluid Mixture -- Classical Scattering Theory in Phase Space -- Generalized Hydrodynamics and Transport Processes -- II Essays on Equilibrium Theories -- Molecular Theory of Liquid Mixtures: Equilibrium Properties -- Equilibrium...”

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Table of Contents: “...Equilibrium -- Stationary Nonequilibrium -- Discrete phase space -- Fluctuations -- Applications -- Historical comments -- Appendices -- References -- Index....”

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Table of Contents: “...-Periodic Systems -- 10 Stochastic Manifestations of Chaos -- A Classical Mechanics -- A.1 Newton’s Equations -- A.2 Lagrange’s Equations -- A.3 Hamilton’s Equations -- A.4 The Poisson Bracket -- A.5 Phase Space Volume Conservation -- A.6 Action-Angle Coordinates...”

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Table of Contents: “... of Classical and Quantum Systems -- Dynamics of Relaxation and Chaotic Behaviour -- Dynamical Theory of Relaxation in Classical and Quantum Systems -- Relaxation and Noise in Chaotic Systems -- Fractal Structures in the Phase Space of Simple Chaotic Systems...”

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Table of Contents: “... Traveling Waves -- 2.4 Homoclinic Orbits. Phase-Space Analysis -- 2.5 Multiloop Homoclinic Orbits and Soliton-Bound States -- 2.6 Further Numerical Results and Computer Experiments -- 2.7 Salient Features of Dissipative Solitons -- 3. Self-Organization in a Long...”

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Table of Contents: “..., Amsterdam -- 2. Dynamical Systems -- Seventeenth century Dutch art: a brief guide to the Mauritshuis, The Hague, and the Rijksmuseum, Amsterdam -- Multifractal phase-space distributions for stationary nonequilibrium systems -- A model of nonequilibrium...”

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Table of Contents: “...1 Chaos and Irreversibility -- 2 Statistical Mechanics of Maps -- 3 The Bernoulli Map -- 4 Other One-Dimensional Maps -- 5 Intrinsic Irreversibility -- 6 Deterministic Diffusion -- 7 Afterword -- A Appendices -- A.1 Complex Microstructure of Phase Space...”

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Table of Contents: “...: Preliminaries -- 8. The Single-Mode Homogeneously Broadened Laser II: Phase-Space Analysis -- References....”

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Table of Contents: “... Geometry in Phase Space and Asymptotic Scaling -- 5.5 Applications to Perceptrons -- 5.6 Summary and Outlook -- Appendix 5.1: Proof of Sauer’s Lemma -- Appendix 5.2: Order Parameters for ADALINE -- References -- 6. Bayesian Methods for Backpropagation Networks...”

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Table of Contents: “... methods in perturbation theory -- Eigenfunction expansions for time dependent hamiltonians -- Strange attractors in higher-dimensional phase space -- Mathematical classification of complete chaos -- Anomalous diffusion and Lévy statistics in intermittent...”

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Table of Contents: “...1 Generating Equations of Non-Markov Theory -- 2 Nonequilibrium Thermodynamics of Open Systems -- 3 The Kirchhoff’s Form of Fluctuation-Dissipation Relations -- 4 Method of Projection in Space of Phase Space Distributions and Irreversible Processes...”

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Table of Contents: “... -- Fluctuations in the Asymmetric Simple Exclusion Process -- Analysis of a Network Model -- Drift and Diffusion in Phase Space. An Application to Celestial Mechanics -- Real Computation with Cellular Automata -- Lyapunov Functionals Associated to Automata -- Sand-Pile...”

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Table of Contents: “... Systems -- III Stochastic Systems -- 10. Stochastic Systems -- IV Appendices -- A. Classical Mechanics -- A.1 Newton’s Equations -- A.2 Lagrange’s Equations -- A.3 Hamilton’s Equations -- A.4 The Poisson Bracket -- A.5 Phase Space Volume Conservation -- A.6...”

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