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KS entropy and mean Lyapunov exponent for coupled map lattices

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  • Shibata, Hiroshi

Abstract

The statistics of Kolmogorov–Sinai (KS) entropy for a coupled map lattice model are analyzed from the viewpoint of the thermodynamic formalism. It is shown that the fluctuation of KS entropy for a coupled map lattice model satisfies the large deviation statistics. Also, the probability density of Lyapunov exponents (PDLE) is studied and it is shown that the PDLE gives the measure of the irregularity for the spatio-temporal patterns. Mean Lyapunov exponent is introduced and compared with KS entropy.

Suggested Citation

  • Shibata, Hiroshi, 2001. "KS entropy and mean Lyapunov exponent for coupled map lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 182-192.
    • Handle: RePEc:eee:phsmap:v:292:y:2001:i:1:p:182-192
    DOI: 10.1016/S0378-4371(00)00591-4
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    Citations

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    Cited by:

    1. Li, Ping & Li, Zhong & Halang, Wolfgang A. & Chen, Guanrong, 2007. "Li–Yorke chaos in a spatiotemporal chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 335-341.
    2. Yang, Xiaofang & Lu, Tianxiu & Waseem, Anwar, 2021. "Chaotic properties of a class of coupled mapping lattice induced by fuzzy mapping in non-autonomous discrete systems," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    3. Zhang, Ying-Qian & Wang, Xing-Yuan, 2014. "Spatiotemporal chaos in mixed linear–nonlinear coupled logistic map lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 104-118.
    4. S. P. Nair & P. M. Pardalos & V. A. Yatsenko, 2007. "Optimization in Control and Learning in Coupled Map Lattice Systems," Journal of Optimization Theory and Applications, Springer, vol. 134(3), pages 533-547, September.
    5. Schäfer, Mirko & Greiner, Martin, 2011. "Disordered chaotic strings," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 93-97.

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