Chaotic systems are sensitive to initial conditions, so that two chaotic units, although identical and starting from two points arbitrarily close in the phase space, follow trajectories that diverge in time. Synchronization, i.e., the adoption of a common motion, is only possible if two or more chaotic systems interact in some way. In an effort of simplifying the analysis of the problem, such interactions have been, and are still being, often assumed to occur along the links of a network that does not vary in time. However, in a more general perspective, the interconnections may be the result of a dynamical process that leads pairs of network nodes to interact in some time window and to not interact at other times. This situation is representative of scenarios where the nodes are associated to mobile agents (such as robots or living beings) or where the interactions develop as a consequence of an activity pattern of the network nodes. This work focuses on the latter case study.

Synchronization of chaotic systems with activity-driven time-varying interaction

BUSCARINO, Arturo;Gambuzza L. V;FRASCA, MATTIA;NUNNARI, Giuseppe
2016

Abstract

Chaotic systems are sensitive to initial conditions, so that two chaotic units, although identical and starting from two points arbitrarily close in the phase space, follow trajectories that diverge in time. Synchronization, i.e., the adoption of a common motion, is only possible if two or more chaotic systems interact in some way. In an effort of simplifying the analysis of the problem, such interactions have been, and are still being, often assumed to occur along the links of a network that does not vary in time. However, in a more general perspective, the interconnections may be the result of a dynamical process that leads pairs of network nodes to interact in some time window and to not interact at other times. This situation is representative of scenarios where the nodes are associated to mobile agents (such as robots or living beings) or where the interactions develop as a consequence of an activity pattern of the network nodes. This work focuses on the latter case study.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/102871
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