Bifurcation and Stability in Nonlinear Discrete Systems
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 dis…
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Produktdetails
- ISBN: 978-981-1552-12-0
- EAN: 9789811552120
- Produktnummer: 34582036
- Verlag: Springer
- Sprache: Englisch
- Erscheinungsjahr: 2020
- Plattform: PDF
- Masse: 5'181 KB
Über den Autor
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.
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