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Bifurcation and Stability in Nonlinear Discrete Systems, Paperback / softback Book

Bifurcation and Stability in Nonlinear Discrete Systems Paperback / softback

Part of the Nonlinear Physical Science series

Paperback / softback

Description

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.

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