TY  - JOUR
AU  - Krachkovskyi, V.
AU  - Popovych, O. V.
AU  - Tass, P. A.
TI  - Stimulus-locked responses of two phase oscillators coupled with delayed feedback
JO  - Physical review / E
VL  - 73
IS  - 6
SN  - 1539-3755
CY  - College Park, Md.
PB  - APS
M1  - PreJuSER-52489
SP  - 066220
PY  - 2006
N1  - Record converted from VDB: 12.11.2012
AB  - For a system of two phase oscillators coupled with delayed self-feedback we study the impact of pulsatile stimulation administered to both oscillators. This system models the dynamics of two coupled phase-locked loops (PLLs) with a finite internal delay within each loop. 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. Remarkably, for large coupling strength the two PLLs are completely desynchronized. We study stimulus-locked responses emerging in the different dynamical regimes. Simple phase resets may be followed by a response clustering, which is intimately connected with long poststimulus resynchronization. Intriguingly, a maximal perturbation (i.e., maximal response clustering and maximal resynchronization time) occurs, if the system gets trapped at a stable manifold of an unstable saddle fixed point due to appropriately calibrated stimulus. Also, single stimuli with suitable parameters can shift the system from a stable synchronized state to a stable desynchronized state or vice versa. Our result show that appropriately calibrated single pulse stimuli may cause pronounced transient and/or long-lasting changes of the oscillators' dynamics. Pulse stimulation may, hence, constitute an effective approach for the control of coupled oscillators, which might be relevant to both physical and medical applications.
KW  - J (WoSType)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000238694200070
DO  - DOI:10.1103/PhysRevE.73.066220
UR  - https://juser.fz-juelich.de/record/52489
ER  -