Bifurcations and Lyapunov exponents in chaotic reaction-diffusion systems
โ Scribed by Hiroyuki Nagashima
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 322 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0167-2789
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๐ SIMILAR VOLUMES
Any system containing at least one positive Lyapunov exponent is defined to be chaotic and the system dynamics become unpredictable. For a mechanical system, the sum of Lyapunov exponents is negative and related to the damping, and so can be utilised to monitor any changes of the damping mechanism.
In this paper we consider the problem of synchronization of coupled chaotic systems. Synchronization is studied by means of local transversal Lyapunov exponents. We show that they can be successfully used in investigations of synchronization properties. A criterion for synchronization based on this