Phase multistability of self-modulated oscillations

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

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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
Pages (from-to)036224
ISSN1063-651X
DOIs
Publication statusPublished - 2002

Bibliographical note

Copyright (2002) American Physical Society

Keywords

  • SYSTEMS
  • MODEL
  • SYNCHRONIZATION
  • MECHANISM
  • LOCKING
  • PATTERNS
  • DYNAMICS
  • PRESSURE
  • BIFURCATION
  • NEPHRONS

Cite this

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