2018/07/02 by Ivan A. Korneev, Korneev, Ivan A., Vladimir V. Semenov +5
Computer Science · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #nlin.AO #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1807.00613
11 pages, 16 figures
openalex publication_date 2018/07/02 · arxiv created 2019/07/15 · arxiv updated 2019/07/16 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28
A model of two self-sustained oscillators interacting through memristive coupling is studied. Memristive coupling is realized by using a cubic memristor model. Numerical simulation is combined with theoretical analysis by means of quasi-harmonic reduction. It is shown that specifics of the memristor nonlinearity results in appearance of infinitely many equilibrium points, which form a line of equilibria in the phase space of the system under study. It is established that possibility to observe the effect of phase locking in the considered system depends both on parameter values and initial conditions. Consequently, boundaries of a synchronization area are determined by the initial conditions. It is demonstrated that addition of a small term into the memristor state equation gives rise to disappearance of the line of equilibria and eliminates the dependence of synchronization on the initial conditions.