Solvable model for chimera states of coupled oscillators

被引：533

作者：

Abrams, Daniel M. ^{[1
]}

Mirollo, Rennie ^{[2
]}

Strogatz, Steven H. ^{[3
]}

Wiley, Daniel A. ^{[4
]}

机构：

[1] MIT, Dept Earth Atmospher & Planetary Sci, Cambridge, MA 02139 USA

[2] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA

[3] Cornell Univ, Dept Theoret & Appl Mech, Ithaca, NY 14853 USA

[4] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 101卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.101.084103

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Networks of identical, symmetrically coupled oscillators can spontaneously split into synchronized and desynchronized subpopulations. Such chimera states were discovered in 2002, but are not well understood theoretically. Here we obtain the first exact results about the stability, dynamics, and bifurcations of chimera states by analyzing a minimal model consisting of two interacting populations of oscillators. Along with a completely synchronous state, the system displays stable chimeras, breathing chimeras, and saddle-node, Hopf, and homoclinic bifurcations of chimeras.

引用

页数：4

共 24 条

[1] Chimera states in a ring of nonlocally coupled oscillators
Abrams, DM
Strogatz, SH
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (01): : 21 - 37
[2] Chimera states for coupled oscillators
Abrams, DM
Strogatz, SH
[J]. PHYSICAL REVIEW LETTERS, 2004, 93 (17) : 174102 - 1
[3] Synchronization in small-world systems
Barahona, M
Pecora, LM
[J]. PHYSICAL REVIEW LETTERS, 2002, 89 (05) : 054101/1 - 054101/4
[4] Synchronization in networks of networks: The onset of coherent collective behavior in systems of interacting populations of heterogeneous oscillators
Barreto, Ernest
Hunt, Brian
Ott, Edward
So, Paul
[J]. PHYSICAL REVIEW E, 2008, 77 (03)
[5] The synchronization of chaotic systems
Boccaletti, S
Kurths, J
Osipov, G
Valladares, DL
Zhou, CS
[J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2): : 1 - 101
[6] HOYLE R, 2006, PATTERN FORMATION, P53607
[7] Chimera Ising walls in forced nonlocally coupled oscillators
Kawamura, Yoji
[J]. PHYSICAL REVIEW E, 2007, 75 (05):
[8] Kuramoto Y., 2002, Nonlinear Phenomena in Complex Systems, V5, P380
[9] KURAMOTO Y, 1984, CHEM OSCILLATIONS WA, P53607
[10] MANRUBIA S, 2004, EMERGENCE DYNAMICAL, P53607

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