Phase multistability of self-modulated oscillations

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

doi:10.1103/PhysRevE.66.036224

Phase multistability of self-modulated oscillations

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

Saratov State University
University of Copenhagen

Research output: Contribution to journal › Journal article › Research › peer-review

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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 language	English
Journal	Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume	66
Issue number	3
Pages (from-to)	036224
ISSN	1063-651X
DOIs	https://doi.org/10.1103/PhysRevE.66.036224
Publication status	Published - 2002

Bibliographical note

Copyright (2002) American Physical Society

Keywords

SYSTEMS
MODEL
SYNCHRONIZATION
MECHANISM
LOCKING
PATTERNS
DYNAMICS
PRESSURE
BIFURCATION
NEPHRONS

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http://link.aps.org/doi/10.1103/PhysRevE.66.036224

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title = "Phase multistability of self-modulated oscillations",

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.",

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T1 - Phase multistability of self-modulated oscillations

AU - Sosnovtseva, Olga

AU - Postnov, D.E.

AU - Nekrasov, A.M.

AU - Mosekilde, Erik

AU - Holstein-Rathlou, N.H.

N1 - Copyright (2002) American Physical Society

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - SYSTEMS

KW - MODEL

KW - SYNCHRONIZATION

KW - MECHANISM

KW - LOCKING

KW - PATTERNS

KW - DYNAMICS

KW - PRESSURE

KW - BIFURCATION

KW - NEPHRONS

U2 - 10.1103/PhysRevE.66.036224

DO - 10.1103/PhysRevE.66.036224

M3 - Journal article

C2 - 12366241

SN - 1063-651X

VL - 66

SP - 036224

JO - Physical Review E. Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E. Statistical, Nonlinear, and Soft Matter Physics

IS - 3

ER -

Phase multistability of self-modulated oscillations

Abstract

Bibliographical note

Keywords

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