Overview

There has been a growing interaction between the mathematical study of real dynamical systems and complex dynamical systems. Problems in the real dynamical system area have been solved by using complex tools in the real or by extension to the complex. In return, problems in complex dynamical systems have been settled using results from the real area. This volume examines the state of the art of central parts of both real and complex dynamical systems, reinforcing contact between the two aspects of the theory and thereby making recent progress in each accessible to a larger group of mathematicians.

Full Product Details

Author:   B. Branner ,  Poul Hjorth
Publisher:   Springer
Imprint:   Springer
Edition:   1995 ed.
Volume:   464
Dimensions:   Width: 15.60cm , Height: 2.00cm , Length: 23.40cm
Weight:   1.530kg
ISBN:  

9780792335214

ISBN 10:   079233521
Pages:   348
Publication Date:   31 May 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Dynamical Zeta Functions.- The Global Dynamics of Impact Oscillators.- Grazing in Impact Oscillators.- Topological Entropy of Unimodal Maps.- Hénon Mappings in the Complex Domain.- Symbolic Dynamics, Group Automorphisms and Markov Partitions.- A Monotonicity Conjecture for Real Cubic Maps.- Dynamics of Ordinary Differential Equations.- Real Bounds in Complex Dynamics.- Homoclinic Bifurcations and Strange Attractors.- to Hyperbolic Dynamics.- Ergodic Theory of Differentiable Dynamical Systems.

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