Bifurcation and chaos in a discrete activator-inhibitor system

Bifurcation and chaos in a discrete activator-inhibitor system

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In this paper, we explore local dynamic characteristics, bifurcations and control in the discrete activator-inhibitor system.More specifically, it is proved that discrete-time activator-inhibitor system has an interior equilibrium solution.Then, by using linear Electrotherapy and Sonic Therapy - Electrotherapy Electrodes stability theory, local dynamics with different topological classifications for the interior equilibrium solution are investigated.It is investigated that for the interior equilibrium solution, discrete activator-inhibitor system undergoes Neimark-Sacker and flip bifurcations.

Further chaos control is studied by the feedback control method.Finally, numerical simulations are Phone case presented to validate the obtained theoretical results.