Published January 1983 | Version v1
Journal article

Direct observation of crises of the chaotic attractor in a nonlinear oscillator

  • 1. Materials and Molecular Research Division, Lawrence Berkeley Laboratory, and Department of Physics, University of California, Berkeley, California 94720

Description

For a driven nonlinear oscillator we report direct evidence for three cases of an interior crisis of the attractor, as conjectured by Grebogi, Ott, and Yorke. These crises are sudden and discontinuous changes in the attractor, observed directly from bifurcation diagrams and attractor diagrams (Poincare sections) in real time. The crises arise from intersection of an unstable orbit with the chaotic attractor

Additional details

Publishing Information

Journal Title
Phys. Rev., A
Journal Volume
27
Journal Issue
1
Series
Phys. Rev., A.
Journal Page Range
601-603
ISSN
0556-2791