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Low dimensional behavior in three-dimensional coupled map lattices

Author

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  • Muruganandam, Paulsamy
  • Francisco, Gerson
  • de Menezes, Marcio
  • Ferreira, Fernando F.

Abstract

The analysis of one-, two-, and three-dimensional coupled map lattices is here developed under a statistical and dynamical perspective. We show that the three-dimensional CML exhibits low dimensional behavior with long range correlation and the power spectrum follows 1/f noise. This approach leads to an integrated understanding of the most important properties of these universal models of spatiotemporal chaos. We perform a complete time series analysis of the model and investigate the dependence of the signal properties by change of dimension.

Suggested Citation

  • Muruganandam, Paulsamy & Francisco, Gerson & de Menezes, Marcio & Ferreira, Fernando F., 2009. "Low dimensional behavior in three-dimensional coupled map lattices," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 997-1004.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:997-1004
    DOI: 10.1016/j.chaos.2008.04.044
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    2. Soofi, Abdol S. & Cao, Liangyue, 1999. "Nonlinear deterministic forecasting of daily Peseta-Dollar exchange rate," Economics Letters, Elsevier, vol. 62(2), pages 175-180, February.
    3. Cao, Liangyue & Soofi, Abdol S., 1999. "Nonlinear deterministic forecasting of daily dollar exchange rates," International Journal of Forecasting, Elsevier, vol. 15(4), pages 421-430, October.
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