This title appears in the Scientific Report :
2007
Please use the identifier:
http://dx.doi.org/10.1142/S0218127407018592 in citations.
TWOFOLD IMPACT OF DELAYED FEEDBACK ON COUPLED OSCILLATORS
TWOFOLD IMPACT OF DELAYED FEEDBACK ON COUPLED OSCILLATORS
We present a detailed bifurcation analysis of desynchronization transitions in a system of two coupled phase oscillators with delay. The coupling between the oscillators combines a delayed self-feedback of each oscillator with an instantaneous mutual interaction. The delayed self-feedback leads to a...
Saved in:
Personal Name(s): | Popovych, O. V. |
---|---|
Krachkovskyi, V. / Tass, P. A. | |
Contributing Institute: |
Gehirn & Verhalten; INM-7 |
Published in: | International journal of bifurcation and chaos (IJBC), 17 (2007) S. 2517 - 2530 |
Imprint: |
[Singapore]
World Scientific
2007
|
Physical Description: |
2517 - 2530 |
DOI: |
10.1142/S0218127407018592 |
Document Type: |
Journal Article |
Research Program: |
Funktion und Dysfunktion des Nervensystems |
Series Title: |
International Journal of Bifurcation and Chaos
17 |
Subject (ZB): | |
Publikationsportal JuSER |
We present a detailed bifurcation analysis of desynchronization transitions in a system of two coupled phase oscillators with delay. The coupling between the oscillators combines a delayed self-feedback of each oscillator with an instantaneous mutual interaction. The delayed self-feedback leads to a rich variety of dynamical regimes, ranging from phase-locked and periodically modulated synchronized states to chaotic phase synchronization and desynchronization. We show that an increase of the coupling strength between oscillators may lead to a loss of synchronization. Intriguingly, the delay has a twofold influence on the oscillations: synchronizing for small and intermediate coupling strength and desynchronizing if the coupling strength exceeds a certain threshold value. We show that the desynchronization transition has the form of a crisis bifurcation of a chaotic attractor of chaotic phase synchronization. This study contributes to a better understanding of the impact of time delay on interacting oscillators. |