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.
Original language | English |
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Journal | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) |
Volume | 66 |
Issue number | 3 Pt 2A |
Pages (from-to) | 036224 |
ISSN | 1539-3755 |
Publication status | Published - 2002 |