Designer dynamics through chaotic traps: Controlling complex behavior in driven nonlinear systems
Chaotic Dynamics
2015-12-08 v1 Tissues and Organs
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.
Cite
@article{arxiv.1512.02032,
title = {Designer dynamics through chaotic traps: Controlling complex behavior in driven nonlinear systems},
author = {Shakti N. Menon and S. Sridhar and Sitabhra Sinha},
journal= {arXiv preprint arXiv:1512.02032},
year = {2015}
}
Comments
5 pages, 3 figures