£120.94

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. This book serves as the first dedicated resource focusing on bifurcation dynamics within 1-dimensional polynomial nonlinear discrete systems. It provides a deep mathematical foundation for researchers and students studying complex systems. The content covers the general mathematical conditions required for bifurcations in these specific systems. Readers will find detailed discussions on appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points. The text also provides an analysis of bifurcation trees, tracing the progression from period-1 to chaos through period-doubling and monotonic saddle-node bifurcations. By examining the transition from stable periods to chaotic states, this book offers essential insights into the behavior of nonlinear discrete models. It is a vital reference for those needing to understand the mechanics of period-2 and higher-order dynamics in polynomial systems.

Key Features

First specialized study on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems.

Comprehensive discussion of general mathematical conditions for bifurcations in polynomial systems.

Detailed analysis of appearing and switching bifurcations for period-1 fixed-points.

In-depth examination of bifurcation trees generated by period-doubling and monotonic saddle-node bifurcations.

Exploration of the transition from period-1 states to chaos within nonlinear systems.

Provides methods for analyzing period-2 and higher-order dynamics in discrete systems.

Product Specifications

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

Barcode

No barcode data available

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