Synchronization in counter-rotating oscillators

Abstract

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.

9 pages, 11 figures

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• Universal occurrence of mixed-synchronization in counter-rotating nonlinear coupled oscillators
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Cited by in corpus (9)

• Effects of moderate noise on a limit cycle oscillator: Counter rotation and bistability
• Dynamical robustness of network of oscillators
• Long-range interaction induced collective dynamical behaviors
• Transition from homogeneous to inhomogeneous steady states in oscillators under cyclic coupling
• Emerging chimera states under non-identical counter-rotating oscillators
• Aging transition in the absence of inactive oscillators
• Generalized counter-rotating oscillators: Mixed synchronization
• Oscillation death in coupled counter-rotating identical nonlinear oscillators
• Targeting engineering synchronization in chaotic systems