Bifurcation and stability in nonlinear discrete systems / Albert C. J. Luo.

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Bifurcation and stability in nonlinear discrete systems / Albert C. J. Luo.

9789811552120 (electronic book)
9811552126 (electronic book)
9811552118
9789811552113

Singapore : Springer, 2020.

English

1 online resource

10.1007/978-981-15-5

QA380

515/.392

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.

Includes bibliographical references and index.

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Nonlinear physical science.

Print version: 9789811552113

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