Bifurcation and Stability in Nonlinear Discrete Systems

Lieferzeit: Lieferbar innerhalb 14 Tagen

106,99 

Nonlinear Physical Science

ISBN: 9811552142
ISBN 13: 9789811552144
Autor: Luo, Albert C J
Verlag: Springer Verlag GmbH
Umfang: x, 313 S., 27 s/w Illustr., 16 farbige Illustr., 313 p. 43 illus., 16 illus. in color.
Erscheinungsdatum: 15.08.2021
Auflage: 1/2021
Produktform: Kartoniert
Einband: Kartoniert

This book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems.

Artikelnummer: 2678141 Kategorie:

Beschreibung

Autorenporträt

Prof. Albert C. J. Luo is a Distinguished Research Professor at the Department of Mechanical Engineering at Southern Illinois University Edwardsville, USA. He received his Ph.D. degree from the University of Manitoba, Canada, in 1995. His research focuses on mechanics, dynamics and mechanical vibration, and he has published over 40 books, and more than 200 journal articles and conference papers in these fields. He received the Paul Simon Outstanding Scholar Award in 2008 and an ASME fellowship in 2007. He now serves as Co-editor of the Journal of Applied Nonlinear Dynamics and Editor of various book series, including Nonlinear Systems and Complexity, and Nonlinear Physical Science.

Herstellerkennzeichnung:


Springer Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
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E-Mail: juergen.hartmann@springer.com

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