Universität zu Köln

Omel'chenko, Oleh E., Maistrenko, Yuri L. and Tass, Peter A. (2010). Chimera states induced by spatially modulated delayed feedback. Phys. Rev. E, 82 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2376

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Abstract

Recently, we have presented spatially modulated delayed feedback as a novel mechanism, which generically generates chimera states, remarkable spatiotemporal patterns in which coherence coexists with incoherence [O. E. Omel'chenko et al., Phys. Rev. Lett. 100, 044105 (2008)]. Remarkably, such chimera states serve as a natural link between completely coherent states and completely incoherent states. So far, we have studied this mechanism with a self-consistency-based numerical analysis only. In contrast, in this paper we perform a thorough dynamical description and, in particular, a stability analysis of the emerging chimera states. For this, we apply a recently developed reduction procedure [A. Pikovsky and M. Rosenblum, Phys. Rev. Lett. 101, 264103 (2008)]. By combining analytical and numerical approaches, we systematically describe the relationship between the parameters of the delayed feedback on one hand and the properties of the chimera states on the other hand. We provide the general rules for an effective control and manipulation of the chimera states.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Omel'chenko, Oleh E. UNSPECIFIED UNSPECIFIED UNSPECIFIED Maistrenko, Yuri L. UNSPECIFIED UNSPECIFIED UNSPECIFIED Tass, Peter A. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-490860
DOI:	10.1103/PhysRevE.82.066201
Journal or Publication Title:	Phys. Rev. E
Volume:	82
Number:	6
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 TIME-DELAY; SYNCHRONIZATION; KURAMOTO; OSCILLATORS; DYNAMICS; STABILITY Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/49086