Overview

The theory of one-dimensional systems is an efficient tool in nonlinear dynamics. On the one hand, it describes one-dimensional systems fairly completely, and on the other hand exhibits all basic complicated nonlinear effects. This volume acquaints the reader with the fundamentals of the theory of one-dimensional dynamical systems. Very simple nonlinear maps with a single point of extremum, also called unimodal maps, are studied. Unimodal is found to impose hardly any restrictions on the dynamical behaviour. It also provides a view of the problems appearing in the theory of dynamical systems. and describes the methods used for their solution in the case of one-dimensional maps. The book should be of interest to researchers and postgraduate students whose work involves nonlinear dynamics.

Full Product Details

Author:   A.N. Sharkovsky ,  S.F. Kolyada ,  A.G. Sivak ,  V.V. Fedorenko
Publisher:   Springer
Imprint:   Springer
Edition:   1997 ed.
Volume:   407
Dimensions:   Width: 15.60cm , Height: 1.70cm , Length: 23.40cm
Weight:   1.250kg
ISBN:  

9780792345329

ISBN 10:   0792345320
Pages:   262
Publication Date:   30 April 1997
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Contets.- 1. Fundamental Concepts of the Theory of Dynamical Systems. Typical Examples and Some Results.- 2. Elements of Symbolic Dynamics.- 3. Coexistence of Periodic Trajectories.- 4. Simple Dynamical Systems.- 5. Topological Dynamics of Unimodal Maps.- 6. Metric Aspects of Dynamics.- 7. Local Stability of Invariant Sets. Structural Stability of Unimodal Maps.- 8. One-Parameter Families of Unimodal Maps.- References.- Notation.

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