Synchronization in counter-rotating oscillators

Details Synchronization in counter-rotating oscillators Synchronization in counter-rotating oscillators

2011-06-28

arxiv.org/abs/1106.5629v1

Nonlinear Sciences

Chaotic Dynamics

9 pages, 11 figures

Scientific paper

An oscillatory system can have clockwise and anticlockwise senses of rotation. We propose a general rule how to obtain counter-rotating oscillators from the definition of a dynamical system and then investigate synchronization. A type of mixed synchronization emerges in counter-rotating oscillators under diffusive scalar coupling when complete synchronization and antisynchronization coexist in different state variables. Stability conditions of mixed synchronization are obtained analytically in Rossler oscillator and Lorenz system. Experimental evidences of mixed synchronization are given for limit cycle as well as chaotic oscillators in electronic circuits.

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