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

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Edition: 1

Series: Lecture Notes in Physics 179

ISBN: 0387122761, 9780387122762

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Pages: 298/170

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L. Garrido, C. Simó (auth.), Luis Garrido (eds.)0387122761, 9780387122762


Table of contents :
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

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