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
An evaluation of the Lyapunov characteristic exponent of chaotic continuous systems
✍ Scribed by Sandra Rugonyi; Klaus-Jürgen Bathe
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 630 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.560
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📜 SIMILAR VOLUMES
The Lyapunov exponent is a means of quantitatively evaluating the orbit instability of a dynamical system. In calculating the Lyapunov exponent by measuring the time series from a dynamical system, it is necessary to input the time series data into a computer system using an A-D converter. However,
## Abstract In the paper there are considered linear Hamiltonian systems in R^2n^ which include a small additive random term depending on a stationary ergodic Markov process. Under some regularity assumptions we derive asymptotic expansions for certain Lyapunov exponents of the systems (or for sums