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Controlling nonlinear waves in excitable media

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  • Puebla, Hector
  • Martin, Roland
  • Alvarez-Ramirez, Jose
  • Aguilar-Lopez, Ricardo

Abstract

A new feedback control method is proposed to control the spatio-temporal dynamics in excitable media. Applying suitable external forcing to the system’s slow variable, successful suppression and control of propagating pulses as well as spiral waves can be obtained. The proposed controller is composed by an observer to infer uncertain terms such as diffusive transport and kinetic rates, and an inverse-dynamics feedback function. Numerical simulations shown the effectiveness of the proposed feedback control approach.

Suggested Citation

  • Puebla, Hector & Martin, Roland & Alvarez-Ramirez, Jose & Aguilar-Lopez, Ricardo, 2009. "Controlling nonlinear waves in excitable media," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 971-980.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:2:p:971-980
    DOI: 10.1016/j.chaos.2007.04.009
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    References listed on IDEAS

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    1. Ma, Jun & Wang, Chun-Ni & Li, Yan-Long & Li, Shi-Rong, 2007. "Suppression of spiral waves in light-sensitive media using chaotic signal modulated scheme," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 965-970.
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