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Locally decreasing the impulse transmitted by periodic pulses is shown to bea reliable method of taming chaos in starlike networks of dissipative nonlinearoscillators, leading to both synchronous periodic states and equilibria(oscillation death). Specifically, the paradigmatic model of damped kickedrotators is studied in which it is assumed that when the rotators are drivensynchronously, i.e., all driving pulses transmit the same impulse, the networksdisplay chaotic dynamics. It is found that the taming effect of decreasing theimpulse transmitted by the pulses acting on particular nodes strongly dependson their number and degree of connectivity. A theoretical analysis is givenexplaining the basic physical mechanism as well as the main features of thechaos-control scenario.

Impulse-induced localized control of chaos in starlike networks