Dynamical Systems: 1st Edition (Hardback) book cover

Dynamical Systems

1st Edition

By Rafael Labarca, R Bamon, L Lewowicz, J Palis

Chapman and Hall/CRC

456 pages

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Hardback: 9780582216211
pub: 1993-02-22
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Description

In at least five countries in Latin America, high level research in the field in taking place. To stimulate this development both at home and abroad, Chilean mathematicians have been promoting international meetings like the III International School of Dynamical Systems, which took place at the Universidad de Santiago de Chile-Santiago in 1990. A number of distinguished mathematicians were present at the meeting, side by side with younger people interested in the subject. Several of the participants submitted original contributions to these proceedings of the school. The topics of the papers are central to dynamics: ergodic theory, real and complex foliations, fractal dimensions, polynomial vector fields, hyperbolicity, and expansive maps. Notes on the ergodic theory of plane billiards are also included. This book will be of particular interest to researchers and graduate students working in mathematics, particularly in ordinary differential equations, bifurcation theory, and dynamical systems. Also those working in mathematical physics and physics.

Table of Contents

Cantor sets, numerical invariants and Perron Frobenius theory

A modulus of stability for the Sil'nikov theorem

Heteroclinic orbits for singularly perturbed differential-difference equations

Simultaneous Hopf bifurcations at the origin and infinity for cubic systems

Nondensity of ()-stable endomorphisms and rough ()-stabilities for endomorphisms

Supplement to homoclinic doubling bifurcation in vector fields

On stable and unstable sets

The fundamental theorem of Sinai-Chernov for dynamical systems with singularities

Singular perturbations of autonomous ordinary differential equations and heteroclinic bifurcation

Expansivity and length expansivity for geodesic flows on surfaces

Rigidity of the C1-centralizer of bidimensional diffeomorphisms

Poisson brackets and dynamics

A note on algebraic solutions of foliations in dimension two

Lines of curvature near hyperbolic principal cycles

Arithmetic, geometry and dynamics in the unit tangent bundle of the modular orbifold

Three dimensional expansive homeomorphisms

Introduction to the ergodic theory of plan billiards

About the Series

Chapman & Hall/CRC Research Notes in Mathematics Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
MAT037000
MATHEMATICS / Functional Analysis
SCI040000
SCIENCE / Mathematical Physics