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Control of spatio-temporal on–off intermittency in random driving diffusively coupled map lattices

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  • Ziabakhsh Deilami, M.
  • Rahmani Cherati, Z.
  • Jahed Motlagh, M.R.

Abstract

In this paper, we propose feedback methods for controlling spatio-temporal on–off intermittency which is an aperiodic switching between an “off” state and an “on” state. Diffusively coupled map lattice with spatially non-uniform random driving is used for showing spatio-temporal on–off intermittency. For this purpose, we apply three different feedbacks. First, we use a linear feedback which is a simple method but has a long transient time. To overcome this problem, two nonlinear feedbacks based on prediction strategy are proposed. An important advantage of the methods is that the feedback signal is vanished when control is realized. Simulation results show that all methods have suppressed the chaotic behavior.

Suggested Citation

  • Ziabakhsh Deilami, M. & Rahmani Cherati, Z. & Jahed Motlagh, M.R., 2009. "Control of spatio-temporal on–off intermittency in random driving diffusively coupled map lattices," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 113-122.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:113-122
    DOI: 10.1016/j.chaos.2007.11.016
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    References listed on IDEAS

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    1. Parekh, Nita & Sinha, Somdatta, 2003. "Controllability of spatiotemporal systems using constant pinnings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(1), pages 200-212.
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    3. Jin-Qing Fang & M. K. Ali, 1998. "Nonlinear feedback control of spatiotemporal chaos in coupled map lattices," Discrete Dynamics in Nature and Society, Hindawi, vol. 1, pages 1-23, January.
    4. Chian, Abraham C.-L. & Rempel, Erico L. & Rogers, Colin, 2006. "Complex economic dynamics: Chaotic saddle, crisis and intermittency," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1194-1218.
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