Universität zu Köln

Popovych, Oleksandr V., Krachkovskyi, Valerii and Tass, Peter A. (2010). Phase-locking swallows in coupled oscillators with delayed feedback. Phys. Rev. E, 82 (4). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2376

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Abstract

We show that a nonlinear coupling with delayed feedback between two limit-cycle oscillators can lead to phase-locked, periodically modulated, and chaotic phase synchronization as well as to desynchronization. Parameter regions with stable phase-locked states attain the well-known form of the swallows or shrimps found and studied for nonlinear maps. We demonstrate that the swallow regions can be accompanied by a different bifurcation scenario where the periodic orbits of the phase-locked states undergo a torus bifurcation instead of a previously reported period-doubling bifurcation. This property has an impact on the spatial organization of the swallows in the parameter space. The swallow regions contribute to the synchronization domain of the considered system, and we analytically approximate the parameter synchronization threshold.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Popovych, Oleksandr V. UNSPECIFIED UNSPECIFIED UNSPECIFIED Krachkovskyi, Valerii UNSPECIFIED UNSPECIFIED UNSPECIFIED Tass, Peter A. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-494440
DOI:	10.1103/PhysRevE.82.046203
Journal or Publication Title:	Phys. Rev. E
Volume:	82
Number:	4
Date:	2010
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1550-2376
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SYNCHRONIZATION; BIFURCATION; TRANSITIONS; SYSTEMS; ARRAYS; MODEL; CHAOS Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/49444