Phase multistability of self-modulated oscillations

Author

Nekrasov, Alexander M. ; Sosnovtseva, Olga V.

Author_Institution

Dept. of Phys., Saratov State Univ., Russia

Volume

2

fYear

2003

fDate

20-22 Aug. 2003

Firstpage

611

Abstract

The paper examines the type of multistability that can arise in the coupling of two oscillators when the systems individually display a selfmodulation being the typical waveform when fast dynamics modulated by a slow dynamics. 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 given.

Keywords

bifurcation; nonlinear dynamical systems; oscillations; oscillators; self-phase modulation; synchronisation; biologically motivated coupling; finite coupling strength; frequency mismatch; generator; inertial nonlinearity; nephron autoregulation; nonlinear dynamical system; oscillator coupling; phase map calculation; phase multistability; phase reduction method; phase-locked pattern; self-modulated oscillations; synchronization regions; two-parameter bifurcation analysis; Bifurcation; Biological system modeling; Chaos; Displays; Frequency synchronization; Laboratories; Limit-cycles; Oscillators; Phase measurement; Physics;

fLanguage

English

Publisher

ieee

Conference_Titel

Physics and Control, 2003. Proceedings. 2003 International Conference

Print_ISBN

0-7803-7939-X

Type

conf

DOI

10.1109/PHYCON.2003.1236903

Filename

1236903