Impulse-induced localized control of chaos in starlike networks
arXiv:1603.01089 · doi:10.1103/PhysRevE.93.062210
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.
6 pages, 8 figures
References in corpus (8)
- Statistical mechanics of complex networks
- Complexity without chaos: Plasticity within random recurrent networks generates robust timing and motor control
- Controlling edge dynamics in complex networks
- Realistic Control of Network Dynamics
- Stimulus-Dependent Suppression of Chaos in Recurrent Neural Networks
- Effect of correlations on network controllability
- Network Controllability Is Determined by the Density of Low In-Degree and Out-Degree Nodes
- Variety of regimes of star-like networks of Henon maps