2015/12/07 by Shakti N. Menon, Menon, Shakti N., Shankar Lalitha Sridhar +3
Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Biological sciences #FOS: Physical sciences #Quantum chaos and dynamical systems #Scientific Research and Discoveries #Tissues and Organs (q-bio.TO)
paper · pdf · doi:10.48550/arxiv.1512.02032
openalex publication_date 2015/12/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.