EFFECTS OF NOISE AND INTERNAL DELAY ON COHERENT OSCILLATIONS IN TWO STOCHASTICALLY PERTURBED DELAYED DYNAMICAL SYSTEMS
Ines Grozdanović1, Nataša Trišović2, Wei Li3
1)University of Belgrade, Faculty of Mining and Geology, Belgrade, Serbia,
2)University of Belgrade, Faculty of Mech. Engineering, Belgrade, Serbia
3)Xidian University, Xi’an, China
Variations in coherence of spike trains produced by two stochastically perturbed delayed dynamical systems are numerically examined. Type II excitable systems with noise introduced in the first equation of our dynamical system are used, with a special coherence mechanism called self-induced stochastic resonance, or SISR. Interplay between internal delay, noise and coupling delay can increase coherence, and can also lead to quite incoherent spiking trains. Numerically observed results could be qualitatively explained by considering bifurcations in the system caused by variations of noise and both delays.
Keywords: coherent oscillations, noise, internal delay, coupling delay, bifurcation