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Impulse-induced localized control of chaos in starlike networks

2016/03/31 by Ricardo Chacón, F. Palmero, Faustino Palmero +2
Computer Science · Physics and Astronomy · #Artificial intelligence #CHAOS (operating system) #Chaos control and synchronization #Chaotic #Classical mechanics #Computer science #Control (management) #Control theory (sociology) #Dissipative system #Impulse (physics) #Impulse control #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Oscillation (cell signaling) #Physics #Quantum mechanics #Statistical physics #nlin.CD

paper · pdf · doi:10.1103/physreve.93.062210

published as Phys. Rev. E 93, 062210 (2016) · 6 pages, 8 figures

arxiv created 2016/05/13 · openalex publication_date 2016/06/10 · arxiv updated 2016/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Locally decreasing the impulse transmitted by periodic pulses is shown to be a reliable method of taming chaos in starlike networks of dissipative nonlinear oscillators, leading to both synchronous periodic states and equilibria (oscillation death). Specifically, the paradigmatic model of damped kicked rotators is studied in which it is assumed that when the rotators are driven synchronously, i.e., all driving pulses transmit the same impulse, the networks display chaotic dynamics. It is found that the taming effect of decreasing the impulse transmitted by the pulses acting on particular nodes strongly depends on their number and degree of connectivity. A theoretical analysis is given explaining the basic physical mechanism as well as the main features of the chaos-control scenario.

Citations