Published June 1998
| Version v1
Journal article
Outer Tangency Bifurcations of Chaotic Sets
- 1. Institute for Plasma Research and Department of Physics, University of Maryland, College Park, Maryland 20742 (United States)
- 2. Department of Mathematical Sciences, George Mason University, Fairfax, Virginia 22030 (United States)
- 3. Department of Electrical Engineering and Institute for Systems Research, University of Maryland, College Park, Maryland 20742 (United States)
- 4. Institute for Physical Sciences and Technology and Department of Mathematics, University of Maryland, College Park, Maryland 20742 (United States)
Description
We present and explain numerical results illustrating the mechanism of a type of discontinuous bifurcation of a chaotic set that occurs in typical dynamical systems. After the bifurcation, the chaotic set acquires new pieces located at a finite distance from its location just before the bifurcation, and these new pieces were not part of a previously existing chaotic set. A scaling law is given describing the creation of unstable periodic orbits following such a bifurcation. We also provide numerical evidence of such a bifurcation for a nonattracting chaotic set of the Hacute enon map. copyright 1998 The American Physical Society
Additional details
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 80
- Journal Issue
- 22
- Journal Page Range
- p. 4867-4870
- ISSN
- 0031-9007
- CODEN
- PRLTAO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 29052622
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BIFURCATION; MAPS; NUMERICAL ANALYSIS; SCALING LAWS
- Descriptors DEC
- MATHEMATICS