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Springer Dynamical Systems V: Bifurcation & Catastrophe Theory

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Description

Dynamical Systems V explores bifurcation theory and catastrophe theory, two fundamental areas within dynamical systems that study smooth systems exhibiting seemingly non-smooth behaviour. Bifurcation theory examines the sudden changes occurring in systems when parameters vary, providing essential insights through phase portraits and differential equation analysis. This volume from Springer's Encyclopaedia of Mathematical Sciences series offers rigorous treatment of how bifurcations in differential equations describe real physical systems, revealing critical information about system behaviour across diverse applications. Catastrophe theory complements this analysis by investigating sudden transitions and qualitative changes in system dynamics. Essential for researchers, mathematicians, and students seeking comprehensive understanding of how systems respond to parameter perturbations and structural changes.

Key Features

Bifurcation theory section examines sudden parameter-induced changes in dynamical systems through rigorous mathematical analysis.

Catastrophe theory coverage explores qualitative transitions and non-smooth behaviour in smooth dynamical systems.

Differential equations focus enables understanding phase portraits and system behaviour in real physical applications.

Volume 5 in Springer's Encyclopaedia of Mathematical Sciences provides authoritative reference material for advanced study.

Mathematical rigour throughout supports both theoretical understanding and practical application to complex systems.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
06 June 1994
Listed Since
10 December 2006

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