Jixie qiangdu (Jan 2021)
DYNAMIC BEHAVIOR AND SYNCHRONIZATION STUDY IN FITZHUGH-NAGUMO OSCILLATORS UNDER TIME DELAYS
Abstract
In order to study mixed-mode oscillations and synchronization shown by coupled Fitz Hugh-Nagumo oscillators under time delays,the influence of different time delays and coupling strengths on synchronization behavior of the system was investigated by using analysis method of nonlinear dynamics and MATLAB software. Firstly,according to the dynamics of two FHN oscillations coupled by a single time delay,there was small in-phase and large out-of-phase oscillations influenced by diverse time delays. More complex types of mixed-mode oscillations with varying coupling strength were displayed in a smaller range of parameters. Secondly,the dynamics of coupled FHN oscillations affected by the coupling strengths with two time delays was analyzed. The large amplitude oscillations in time series under different coupling strengths could irregularly switch between in phase or out of phase. The results indicate that the considered dynamical system is simple,but there is the phenomenon of inphase and out-of-phase dynamics. The observed phenomena show some similarities to the experimental model studied.
