Abstract
Unstable dimension variability is an extreme form of non-hyperbolic behavior in chaotic systems whose attractors have periodic orbits with a different number of unstable directions. We propose a new mechanism for the onset of unstable dimension variability based on an interior crisis, or a collision between a chaotic attractor and an unstable periodic orbit. We give a physical example by considering a high-dimensional dissipative physical system driven by impulsive periodic forcing. (C) 2008 Elsevier B.V. All rights reserved.
Original language | English |
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Pages (from-to) | 5569-5574 |
Number of pages | 6 |
Journal | Physics Letters A |
Volume | 372 |
Issue number | 34 |
Early online date | 28 Jun 2008 |
DOIs | |
Publication status | Published - 18 Aug 2008 |
Keywords
- deterministic chaotic systems
- bifurcation
- exponent