Designer dynamics through chaotic traps: Controlling complex behavior in driven nonlinear systems

Abstract

Control schemes for dynamical systems typically involve stabilizing unstable periodic orbits. In this paper we introduce a new paradigm of control that involves ‘trapping’ the dynamics arbitrarily close to any desired trajectory. This is achieved by a state-dependent dynamical selection of the input signal applied to the driven nonlinear system. An emergent property of the trapping process is that the signal changes in a chaotic sequence: a manifestation of chaos-induced order. The simplicity of the control scheme makes it easily implementable in experimental systems.

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@inproceedings{Menon2015DesignerDT, title={Designer dynamics through chaotic traps: Controlling complex behavior in driven nonlinear systems}, author={Shakti N. Menon and Seshan Sridhar and Sitabhra Sinha}, year={2015} }