Bifurcation and catastrophe theory

DOI10.1090/conm/009/655981zbMath0502.58008OpenAlexW4256042674MaRDI QIDQ3968188

E. Christopher Zeeman

Publication date: 1982

Published in: Papers in Algebra, Analysis and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/009/655981

zbMATH Keywords

strange attractorsSmale horseshoeperiodic attractordynamic equilibriaBowen-Ruelle measurestatic equilibriaHenon attractorZeeman catastrophe machineThom's classification theoremstrange bifurcation

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Catastrophe theory (58K35) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (14)

A chaotic blue sky catastrophe in forced relaxation oscillations ⋮ Global analysis of boundary and interior crises in an elastic impact oscillator ⋮ Bifurcation control of a chaotic system ⋮ Analysis of metabolic systems with complex slow and fast dynamics ⋮ Geodesic stability for Kehagias-Sfetsos black hole in Hořava-lifshitz gravity via Lyapunov exponents ⋮ Towards a classification of generic bifurcations in dissipative dynamical systems ⋮ Survey of regular and chaotic phenomena in the forced Duffing oscillator ⋮ A fuzzy blue sky catastrophe ⋮ Global unpredictability in nonlinear dynamics: capture, dispersal and the indeterminate bifurcations ⋮ STOCHASTIC BIFURCATION OF AN ASYMMETRIC SINGLE-WELL POTENTIAL DUFFING OSCILLATOR UNDER BOUNDED NOISE EXCITATION ⋮ Catastrophe Pre-Warning of Multi-Modular Floating Platforms with Ordinal Partition Networks ⋮ An ergodic-theoretical approach to the chaotic behaviour of dynamical systems ⋮ Evolution of replicators playing a strategic game ⋮ Game dynamics and evolutionary transitions

This page was built for publication: Bifurcation and catastrophe theory