Starts 20 Jul 2016 16:00
Ends 20 Jul 2016 17:30
Central European Time
Abstract:
We report a simple model of two drive-response type coupled chaotic oscillators where the reponse system copies the nonlinearity of the driver system. It leads to a coherent motion of the coupled systems, however, it establishes a separating distance, constant in time, between the driver and response attactors that depends upon the initial state. The coupled system responds to external obstacles, modelled by a short-duration pulses acting either on the driver or the response system, by a coherent shifting of the distance and, readjust their distance as and when necessary by talking to each other via a mutual exhange of feedback information. We provide numerical confirmation in a Jerk system and extend the results to a collection of oscillators to produce a cohesive motion.