Synchronization between memristive and initial-dependent oscillators driven by noise

Jun Ma, Wenkang Xu, Ping Zhou and Ge Zhang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 536, issue C

Abstract: Voltage coupling via linear resistor is effective to realize synchronization between chaotic circuits. While electrical and chemical synapses are often used to connect neurons for reaching synchronization. Indeed, synchronization can be stabilized between some no-coupling oscillators driven by noise. In this paper, the potential mechanism of synchronization approach between some initial-dependent oscillators is explored in case of noise. It is found that noise disturbance on the memristive variable can induce distinct changes in the dynamics and the attraction basin of the memristive oscillators and physical motor. Furthermore, with increase of the noise intensity, two memristive nonlinear oscillators can be synchronized completely and the transient period for reaching synchronization is dependent on the involvement of memory term −kxi2xj, which has variable-dependent parameter −kxi2. In fact, noise disturbance can enhance the dynamics dependence of system on the initial setting thus the realization of synchronization becomes easy-going even when no coupling is applied.

Keywords: Pikovsk–Rabinovich oscillator; Hindmarsh–Rose neuron; Bifurcation; Electromotor; Synchronization (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:536:y:2019:i:c:s0378437119314864

DOI: 10.1016/j.physa.2019.122598

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