Related Experiment Videos
Phase multistability of self-modulated oscillations
O V Sosnovtseva1, D E Postnov, A M Nekrasov
1Physics Department, Saratov State University, Astrakhanskaya Street 83, Russia.
Abstract:
The paper examines the type of multistability that one can observe in the synchronization of two oscillators when the systems individually display self-modulation or other types of multicrest wave forms. The investigation is based on a phase reduction method and on the calculation of phase maps for vanishing and finite coupling strengths, respectively. Various phase-locked patterns are observed. In the presence of a frequency mismatch, the two-parameter bifurcation analysis reveals a set of synchronization regions inserted one into the other. Numerical examples using a generator with inertial nonlinearity and a biologically motivated model of nephron autoregulation are presented.