Abstract
A fundamental observation in nonlinear dynamics is that the asymptotic chaotic invariant sets in many high-dimensional systems are low-dimensional. We argue that such a behavior is typically associated with chaos synchronism. Numerical support using coupled chaotic systems including a class derived from a nonlinear partial differential equation is provided. (C) 2002 Elsevier Science Ltd. All rights reserved.
Original language | English |
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Pages (from-to) | 219-232 |
Number of pages | 14 |
Journal | Chaos, Solitons & Fractals |
Volume | 15 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jan 2003 |
Keywords
- coupled-oscillator-systems
- dynamical-systems
- generalized synchronization
- hyperchaos transition
- lag synchronization
- bifurcation
- equation
- scheme
- orbits
- motion