Dynamics of One-Dimensional Maps
Author:   A.N. Sharkovsky ,  S.F. Kolyada ,  A.G. Sivak ,  V.V. Fedorenko
Publisher:   Springer
Edition:   1997 ed.
Volume:   407
ISBN:  

9780792345329


Pages:   262
Publication Date:   30 April 1997
Format:   Hardback
Availability:   In Print   Availability explained
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Dynamics of One-Dimensional Maps


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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   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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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