Phase multistability of self-modulated oscillations.

Olga Sosnovtseva, D E Postnov, A M Nekrasov, E Mosekilde, N-H Holstein-Rathlou

15 Citations (Scopus)

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 languageEnglish
JournalPhysical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Volume66
Issue number3 Pt 2A
Pages (from-to)036224
ISSN1539-3755
Publication statusPublished - 2002

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