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.
|Journal||Physical Review E. Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - 2002|
Bibliographical noteCopyright (2002) American Physical Society
Sosnovtseva, O., Postnov, D. E., Nekrasov, A. M., Mosekilde, E., & Holstein-Rathlou, N. H. (2002). Phase multistability of self-modulated oscillations. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 66(3), 036224. https://doi.org/10.1103/PhysRevE.66.036224