Dynamics of One-Dimensional Maps
Author:   A.N. Sharkovsky ,  S.F. Kolyada ,  A.G. Sivak ,  V.V. Fedorenko
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   407
ISBN:  

9789048148462


Pages:   262
Publication Date:   04 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Dynamics of One-Dimensional Maps


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Overview

The theory of one-dimensional systems is one of the most efficient tools of nonlinear dynamics, as, on the one hand, it describes one-dimensional systems fairly completely, and on the other hand exhibits all basic complicated nonlinear effects. This volume has two main goals. Firstly, it 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. Unimodality is found to impose hardly any restrictions on the dynamical behaviour. Secondly, it equips the reader with a comprehensive 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. Audience: This book will 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:   Softcover reprint of hardcover 1st ed. 1997
Volume:   407
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048148462


ISBN 10:   9048148464
Pages:   262
Publication Date:   04 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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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