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Springer - Bifurcation Dynamics in Polynomial Discrete Systems

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Description

Explore the fundamental principles of nonlinear physical science with this specialized text from Springer. As the first book dedicated to bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems, it provides a comprehensive mathematical foundation for researchers and students. The text covers the general mathematical conditions of bifurcations and examines appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points. Readers will gain deep insights through the analysis of bifurcation trees, tracing the progression from period-1 to chaos via period-doubling and monotonic saddle-node bifurcations. Additionally, the book presents specific methods for studying period-2 and period-doubling renormalization, making it an essential resource for studying complex nonlinear systems.

Key Features

This Springer publication serves as the first book focused on bifurcation dynamics within 1-dimensional polynomial nonlinear discrete systems.

The text provides a comprehensive discussion on the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems.

Analyze bifurcation trees that transition from period-1 to chaos through period-doubling and monotonic saddle-node bifurcations.

Study appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in 1-dimensional systems.

Access specialized methods for period-2 and period-doubling renormalization within the field of nonlinear physical science.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
11 November 2021
Listed Since
15 October 2021

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No barcode data available

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