Bifurcation of strange attractors - Relationship with the spectrum of the Liapunov eigenvalues
Abstract
The paper is concerned with transitions in chaos associated with changes in the spectral signature of the Liapunov eigenvalues, particularly transitions from a strange attractor with one positive value to chaos with two positive Liapunov eigenvalues (i.e., chaos-hyperchaos transitions). An analysis of the chaos-hyperchaos transitions is carried out using an annular self-oscillatory system as an example. Three stages in the evolution of the attractor with the increasing amplification coefficient are identified.
- Publication:
-
Akademiia Nauk SSSR Doklady
- Pub Date:
- 1988
- Bibcode:
- 1988DoSSR.298..593G
- Keywords:
-
- Branching (Mathematics);
- Liapunov Functions;
- Spectral Signatures;
- Strange Attractors;
- Chaos;
- Numerical Analysis;
- Physics (General)