Ebook: Dynamical System and Chaos: Proceedings of the Sitges Conference on Statistical Mechanics Sitges, Barcelona/Spain September 5–11, 1982

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Content:
Front Matter....Pages -
Prologue Some ideas about strange attractors....Pages 1-28
Chaotic dynamics in Hamiltonian systems with divided phase space....Pages 29-46
Periodic and quasi-periodic orbits for twist maps....Pages 47-65
Macroscopic behavior in a simple chaotic Hamiltonian system....Pages 67-77
Quantum dynamics....Pages 79-90
A universal transition from quasi-periodicity to Chaos — Abstract....Pages 91-92
Self-generated diffusion and universal critical properties in chaotic systems....Pages 93-114
Subharmonics and the transition to chaos....Pages 115-129
Low dimensional dynamics and the period doubling scenario....Pages 131-148
Strange attractors in fluid dynamics....Pages 149-156
Experimental aspects of the period doubling scenario....Pages 157-164
Entropy and smooth dynamics....Pages 165-179
Imbedding of a one-dimensional endomorphism into a two-dimensional diffeomorphism. Implications....Pages 180-187
Strange attractors for differential delay equations....Pages 188-191
Stochastic perturbations of some strange attractors....Pages 192-193
Solutions of stochastic differential equations and fractal trajectories....Pages 194-203
Continuous bifurcation and dissipative structures associated with a soft mode recombination instability in semiconductors....Pages 204-211
On the characterization of chaotic motions....Pages 212-222
Complex bifurcations in a periodically forced normal form....Pages 223-224
Topological entropy and scaling behaviour....Pages 225-226
On the analytic structure of chaos in dynamical systems....Pages 227-236
Type-III-intermittency in a smooth perturbation of the logistic system....Pages 237-238
Irreversible evolution of dynamical systems....Pages 239-244
Homoclinic and heteroclinic points in the henon map....Pages 245-247
The simple periodic orbits in the unimodal maps....Pages 248-249
Modulation properties in decaying processes of the correlation function in a family of t-D maps....Pages 250-251
Relaxation times and randomness for a nonlinear classical system....Pages 252-253
Topological entropy on rotation sequences....Pages 254-256
The taylor-green vortex : Fully developed turbulence and transition to spatial chaos....Pages 257-259
Anharmonic systems in external periodic fields with chaotic behaviour....Pages 260-261
Renormalization of non-analytical unimodal maps....Pages 262-263
Critical fluctuations in a thermo-chemical instability....Pages 264-265
The second order Melnikov integral applied to detect quasi-randomness....Pages 266-267
The Fokker-Planck equation as a dynamical system....Pages 268-269
On integrability of quadratic area preserving mappings in the plane....Pages 270-271
Resonances: Key elements to the understanding of non linear oscillations....Pages 272-279
On systems passing through resonances....Pages 280-281
The Lyapunov characteristic numbers and the number of isolating integrals in galactic models....Pages 282-283
On the periodic orbits of the Contopoulos Hamiltonian....Pages 284-286
Feasibility of calculating dimension and topological entropy....Pages 287-289
Diffusions generated from dynamical systems....Pages 290-296
Report on the driven Josephson equation....Pages 297-298
Back Matter....Pages -

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Content:
Front Matter....Pages -
Prologue Some ideas about strange attractors....Pages 1-28
Chaotic dynamics in Hamiltonian systems with divided phase space....Pages 29-46
Periodic and quasi-periodic orbits for twist maps....Pages 47-65
Macroscopic behavior in a simple chaotic Hamiltonian system....Pages 67-77
Quantum dynamics....Pages 79-90
A universal transition from quasi-periodicity to Chaos — Abstract....Pages 91-92
Self-generated diffusion and universal critical properties in chaotic systems....Pages 93-114
Subharmonics and the transition to chaos....Pages 115-129
Low dimensional dynamics and the period doubling scenario....Pages 131-148
Strange attractors in fluid dynamics....Pages 149-156
Experimental aspects of the period doubling scenario....Pages 157-164
Entropy and smooth dynamics....Pages 165-179
Imbedding of a one-dimensional endomorphism into a two-dimensional diffeomorphism. Implications....Pages 180-187
Strange attractors for differential delay equations....Pages 188-191
Stochastic perturbations of some strange attractors....Pages 192-193
Solutions of stochastic differential equations and fractal trajectories....Pages 194-203
Continuous bifurcation and dissipative structures associated with a soft mode recombination instability in semiconductors....Pages 204-211
On the characterization of chaotic motions....Pages 212-222
Complex bifurcations in a periodically forced normal form....Pages 223-224
Topological entropy and scaling behaviour....Pages 225-226
On the analytic structure of chaos in dynamical systems....Pages 227-236
Type-III-intermittency in a smooth perturbation of the logistic system....Pages 237-238
Irreversible evolution of dynamical systems....Pages 239-244
Homoclinic and heteroclinic points in the henon map....Pages 245-247
The simple periodic orbits in the unimodal maps....Pages 248-249
Modulation properties in decaying processes of the correlation function in a family of t-D maps....Pages 250-251
Relaxation times and randomness for a nonlinear classical system....Pages 252-253
Topological entropy on rotation sequences....Pages 254-256
The taylor-green vortex : Fully developed turbulence and transition to spatial chaos....Pages 257-259
Anharmonic systems in external periodic fields with chaotic behaviour....Pages 260-261
Renormalization of non-analytical unimodal maps....Pages 262-263
Critical fluctuations in a thermo-chemical instability....Pages 264-265
The second order Melnikov integral applied to detect quasi-randomness....Pages 266-267
The Fokker-Planck equation as a dynamical system....Pages 268-269
On integrability of quadratic area preserving mappings in the plane....Pages 270-271
Resonances: Key elements to the understanding of non linear oscillations....Pages 272-279
On systems passing through resonances....Pages 280-281
The Lyapunov characteristic numbers and the number of isolating integrals in galactic models....Pages 282-283
On the periodic orbits of the Contopoulos Hamiltonian....Pages 284-286
Feasibility of calculating dimension and topological entropy....Pages 287-289
Diffusions generated from dynamical systems....Pages 290-296
Report on the driven Josephson equation....Pages 297-298
Back Matter....Pages -
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