Dynamical systems and chaos : proceedings of the Sitges Conference on Statistical Mechanics, Sitges, Barcelona/Spain, September 5-11, 1982 / edited by L. Garrido.

By: Sitges Conference on Statistical Mechanics (1982)
Contributor(s): Garrido, L. (Luis), 1930-
Material type: TextTextSeries: Lecture notes in physics: 179.Publisher: Berlin ; New York : Springer-Verlag, 1983Description: 1 online resource (xiv, 298 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540395942; 3540395946Subject(s): Differentiable dynamical systems -- Congresses | Chaotic behavior in systems | Dynamique différentiable -- Congrès | Chaotic behavior in systems | Differentiable dynamical systems | Niet-lineaire dynamicaGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:Sitges Conference on Statistical Mechanics (1982).: Dynamical systems and chaos.DDC classification: 515.3/5 LOC classification: QA614.8 | .S57 1982Other classification: 33.27 Online resources: Click here to access online
Contents:
Prologue Some ideas about strange attractors -- Chaotic dynamics in Hamiltonian systems with divided phase space -- Periodic and quasi-periodic orbits for twist maps -- Macroscopic behavior in a simple chaotic Hamiltonian system -- Quantum dynamics -- A universal transition from quasi-periodicity to Chaos -- Abstract -- Self-generated diffusion and universal critical properties in chaotic systems -- Subharmonics and the transition to chaos -- Low dimensional dynamics and the period doubling scenario -- Strange attractors in fluid dynamics -- Experimental aspects of the period doubling scenario -- Entropy and smooth dynamics -- Imbedding of a one-dimensional endomorphism into a two-dimensional diffeomorphism. Implications -- Strange attractors for differential delay equations -- Stochastic perturbations of some strange attractors -- Solutions of stochastic differential equations and fractal trajectories -- Continuous bifurcation and dissipative structures associated with a soft mode recombination instability in semiconductors -- On the characterization of chaotic motions -- Complex bifurcations in a periodically forced normal form -- Topological entropy and scaling behaviour -- On the analytic structure of chaos in dynamical systems -- Type-III-intermittency in a smooth perturbation of the logistic system -- Irreversible evolution of dynamical systems -- Homoclinic and heteroclinic points in the henon map -- The simple periodic orbits in the unimodal maps -- Modulation properties in decaying processes of the correlation function in a family of t-D maps -- Relaxation times and randomness for a nonlinear classical system -- Topological entropy on rotation sequences -- The taylor-green vortex : Fully developed turbulence and transition to spatial chaos -- Anharmonic systems in external periodic fields with chaotic behaviour -- Renormalization of non-analytical unimodal maps -- Critical fluctuations in a thermo-chemical instability -- The second order Melnikov integral applied to detect quasi-randomness -- The Fokker-Planck equation as a dynamical system -- On integrability of quadratic area preserving mappings in the plane -- Resonances: Key elements to the understanding of non linear oscillations -- On systems passing through resonances -- The Lyapunov characteristic numbers and the number of isolating integrals in galactic models -- On the periodic orbits of the Contopoulos Hamiltonian -- Feasibility of calculating dimension and topological entropy -- Diffusions generated from dynamical systems -- Report on the driven Josephson equation.
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Print version record.

Prologue Some ideas about strange attractors -- Chaotic dynamics in Hamiltonian systems with divided phase space -- Periodic and quasi-periodic orbits for twist maps -- Macroscopic behavior in a simple chaotic Hamiltonian system -- Quantum dynamics -- A universal transition from quasi-periodicity to Chaos -- Abstract -- Self-generated diffusion and universal critical properties in chaotic systems -- Subharmonics and the transition to chaos -- Low dimensional dynamics and the period doubling scenario -- Strange attractors in fluid dynamics -- Experimental aspects of the period doubling scenario -- Entropy and smooth dynamics -- Imbedding of a one-dimensional endomorphism into a two-dimensional diffeomorphism. Implications -- Strange attractors for differential delay equations -- Stochastic perturbations of some strange attractors -- Solutions of stochastic differential equations and fractal trajectories -- Continuous bifurcation and dissipative structures associated with a soft mode recombination instability in semiconductors -- On the characterization of chaotic motions -- Complex bifurcations in a periodically forced normal form -- Topological entropy and scaling behaviour -- On the analytic structure of chaos in dynamical systems -- Type-III-intermittency in a smooth perturbation of the logistic system -- Irreversible evolution of dynamical systems -- Homoclinic and heteroclinic points in the henon map -- The simple periodic orbits in the unimodal maps -- Modulation properties in decaying processes of the correlation function in a family of t-D maps -- Relaxation times and randomness for a nonlinear classical system -- Topological entropy on rotation sequences -- The taylor-green vortex : Fully developed turbulence and transition to spatial chaos -- Anharmonic systems in external periodic fields with chaotic behaviour -- Renormalization of non-analytical unimodal maps -- Critical fluctuations in a thermo-chemical instability -- The second order Melnikov integral applied to detect quasi-randomness -- The Fokker-Planck equation as a dynamical system -- On integrability of quadratic area preserving mappings in the plane -- Resonances: Key elements to the understanding of non linear oscillations -- On systems passing through resonances -- The Lyapunov characteristic numbers and the number of isolating integrals in galactic models -- On the periodic orbits of the Contopoulos Hamiltonian -- Feasibility of calculating dimension and topological entropy -- Diffusions generated from dynamical systems -- Report on the driven Josephson equation.

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