Published February 1994
| Version v1
Journal article
Safe, explosive, and dangerous bifurcations in dissipative dynamical systems
Creators
- 1. Centre for Nonlinear Dynamics and Its Applications, Civil Engineering Building, University College London, Gower Street, London WC1E6BT (United Kingdom)
- 2. Mathematical Sciences Group, Building 490-A, Department of Applied Science, Brookhaven National Laboratory, Upton, New York 11973 (United States)
- 3. Department of Electrical Engineering, Kyoto University, Kyoto 606 (Japan)
Description
A comprehensive listing of the generic codimension-1 attractor bifurcations of dissipative dynamical systems is presented. It includes local and global bifurcations of regular and chaotic attractors. The bifurcations are classified according to the continuity or discontinuity of the attractor path, which governs the physical outcome that would be observed under a slow control sweep. Related issues of determinacy, hysteresis, basin structure, and intermittency are addressed. Recently discovered chaotic bifurcations are discussed in some detail, with particular reference to the regular or chaotic saddle-type destroyer with which an attractor may collide
Additional details
Publishing Information
- Journal Title
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
- Journal Volume
- 49
- Journal Issue
- 2
- Journal Page Range
- p. 1019-1027.
- ISSN
- 1063-651X
- CODEN
- PLEEE8
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 25045286
- Subject category
- S99: GENERAL AND MISCELLANEOUS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ATTRACTORS; CONTROL THEORY; HYSTERESIS; PHASE SPACE; STOCHASTIC PROCESSES; TOPOLOGY
- Descriptors DEC
- MATHEMATICAL SPACE; MATHEMATICS; SPACE