Dynamics of One-Dimensional Maps: 407 - Rilegato

Sharkovsky, A. N.; Kolyada, S. F.; Sivak, A. G.; Fedorenko, V. V.

Rilegato

ISBN 10: 0792345320 ISBN 13: 9780792345329

Casa editrice: Springer-Verlag GmbH, 1997

Riassunto

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.

Su questo libro

Contenuti

Introduction. 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. Subject Index. Notation.

Product Description

Book by Sharkovsky AN Kolyada SF Sivak AG Fedorenko VV

Dettagli dell'edizione

• Editore: Springer-Verlag GmbH
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0792345320
• ISBN 13: 9780792345329
• Rilegatura: Copertina rigida
• Numero di pagine: 276
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania