Coupling sensitivity of chaos and the Lyapunov dimension: The case of coupled two-dimensional maps
Abstract
We numerically investigate the response of spectra of the Lyapunov exponents in chaotic two-dimensional (2-d) maps to perturbations generated by coupling two such maps. The results reveal the coupling sensitivity of chaos, which was discovered previously in coupled 1-d maps, with a number of features some of which are inherent in higher-dimensional systems. In particular, the Lyapunov dimension of a strange attractor is also found to be strongly sensitive to coupling perturbations. Our results suggest a new quantity characterizing chaos, χ coup, which measures the strength of the coupling sensitivity.
- Publication:
-
Physics Letters A
- Pub Date:
- July 1985
- DOI:
- 10.1016/0375-9601(85)90221-X
- Bibcode:
- 1985PhLA..110....5D
- Keywords:
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- Chaos;
- Conformal Mapping;
- Dynamical Systems;
- Liapunov Functions;
- Coupling;
- Maps;
- Perturbation;
- Strange Attractors;
- Physics (General)