Anticipatory synchronization with variable time delay and reset

Abstract

A method to synchronize two chaotic systems with anticipation or lag, coupled in the drive response mode, is proposed. The coupling involves variable delay with three time scales. The method has the advantage that synchronization is realized with intermittant information about the driving system at intervals fixed by a reset time. The stability of the synchronization manifold is analyzed with the resulting discrete error dynamics. The numerical calculations in standard systems like the Rossler and Lorenz systems are used to demonstrate the method and the results of the analysis.

11 pages, 9 figures. submitted to Phys. Rev. E

References in corpus (1)

• Clustered chimera states in delay coupled oscillator systems

Cited by in corpus (11)

• General mechanism for amplitude death in coupled systems
• Synchronized states in chaotic systems coupled indirectly through a dynamic environment
• Amplitude death in complex networks induced by environment
• Signal prediction by anticipatory relaxation dynamics
• Synchronization in counter-rotating oscillators
• Anticipated synchronization in human EEG data: unidirectional causality with negative phase-lag
• Synchronization of nearly-identical dynamical systems. I Size instability
• Inhibitory loop robustly induces anticipated synchronization in neuronal microcircuits
• From dynamical systems with time-varying delay to circle maps and Koopmanism
• Different Types of Synchronization in Coupled Network Based Chaotic Circuits
• Laminar chaos in systems with quasiperiodic delay