Mathematics-Dynamical Systems

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

US$5.00 US$62.00

Title (user) : Dynamical System and Chaos: Proceedings of the Sitges Conference on Statistical Mechanics Sitges, Barcelona/Spain September 5–11, 1982Title (google) : Dynamical...
Description

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

Title (google) : Dynamical systems and chaos proceedings of the Sitges Conference on Statistical Mechanics, Sitges, Barcelona/Spain, September 5-11, 1982

ISBN : 0387122761,9780387122762

DDC : 515.3/5

LCC : QA614.8 .S57 1982

DOI : 10.1007/3-540-12276-1

GoogleBook ID : VruxAAAAIAAJ

OpenLibrary ID : OL3162909M

Edition : 1

Series : Lecture Notes in Physics 179

Authors (user) : L. Garrido, C. Simó (auth.), Luis Garrido (eds.)

Authors (google) : Luis Garrido

Publisher : Springer-Verlag Berlin Heidelberg

Language : English

Publication Date : 1983

Scanned : yes (300 DPI)

File Format : djvu

Categories : Mathematics


------------------------------------------

Description (google) :
We obtain stability and structural results for equivariant diffeomorphisms which are hyperbolic transverse to a compact (connected or finite) Lie group action and construct `$Gamma$-regular' Markov partitions which give symbolic dynamics on the orbit space. We apply these results to the situation where $Gamma$ is a compact connected Lie group acting smoothly on $M$ and $F$ is a smooth (at least $C^2$) $Gamma$-equivariant diffeomorphism of $M$ such that the restriction of $F$ to the $Gamma$- and $F$-invariant set $Lambdasubset M$ is partially hyperbolic with center foliation given by $Gamma$-orbits. On the assumption that the $Gamma$-orbits all have dimension equal to that of $Gamma$, we show that there is a naturally defined $F$- and $Gamma$-invariant measure $u$ of maximal entropy on $Lambda$ (it is not assumed that the action of $Gamma$ is free). In this setting we prove a version of the Livsic regularity theorem and extend results of Brin on the structure of the ergodic components of compact group extensions of Anosov diffeomorphisms. We show as our main result that generically $(F,Lambda,u)$ is stably ergodic (openness in the $C^2$-topology). In the case when $Lambda$ is an attractor, we show that $Lambda$ is generically a stably SRB attractor within the class of $Gamma$-equivariant diffeomorphisms of $M$.


------------------------------------------

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

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

Add a review

Your Rating

13500

Character Limit 400

-92%
An Introduction to Dynamical Systems

An Introduction to Dynamical Systems

US$5.00 US$59.00
-91%
Integrability and nonintegrability of dynamical systems

Integrability and nonintegrability of dynamical systems

US$5.00 US$56.00
-86%
From combinatorics to dynamical systems: journées de calcul formel, Strasbourg, March 22-23, 2002

From combinatorics to dynamical systems: journées de calcul formel, Strasbourg, March 22-23, 2002

US$5.00 US$37.00
-92%
Process Dynamics and Control: Analysis of Dynamic Systems Volume 1 (Physical & Chemical Engineering Science)

Process Dynamics and Control: Analysis of Dynamic Systems Volume 1 (Physical & Chemical Engineering Science)

US$5.00 US$59.00
-91%
Методы и приемы качественного исследования динамических систем на плоскости

Методы и приемы качественного исследования динамических систем на плоскости

US$5.00 US$56.00
-85%
Modeling and Control of Discrete-event Dynamic Systems: with Petri Nets and Other Tools

Modeling and Control of Discrete-event Dynamic Systems: with Petri Nets and Other Tools

US$5.00 US$34.00
-89%
Power System Dynamics and Stability

Power System Dynamics and Stability

US$5.00 US$47.00
-92%
Stochastic Digital Control System Techniques

Stochastic Digital Control System Techniques

US$5.00 US$61.00