Real and Complex Dynamical Systems by B. BrannerReal and Complex Dynamical Systems by B. Branner

Real and Complex Dynamical Systems

byB. BrannerEditorPoul Hjorth

Paperback | December 6, 2010

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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. The present 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, making recent progress in each accessible to a larger group of mathematicians.
Title:Real and Complex Dynamical SystemsFormat:PaperbackDimensions:348 pages, 23.5 × 15.5 × 0.01 inPublished:December 6, 2010Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048145651

ISBN - 13:9789048145652


Table of Contents

Preface. Dynamical Zeta Functions; V. Baladi. The Global Dynamics of Impact Oscillators; C. Budd. Grazing in Impact Oscillators; C. Budd. Topological Entropy of Unimodal Maps; A. Douady. Hénon Mappings in the Complex Domain; J. H. Hubbard, R. W. Oberste-Vorth. Symbolic Dynamics, Group Automorphisms and Markov Partitions; B. Kitchens. A Monotonicity Conjecture for Real Cubic Maps; S. P. Dawson, R. Galeeva, J. Milnor, C. Tresser. Dynamics of Ordinary Differential Equations; C. Sparrow. Real Bounds in Complex Dynamics; S. van Strien. Homoclinic Bifurcations and Strange Attractors; M. Viana. Introduction to Hyperbolic Dynamics; J.-C. Yoccoz. Ergodic Theory of Differentiable Dynamical Systems; Lai-Sang Young. Index.