Self-synchronization in an ensemble of nonlinear oscillators

Journal Article · Wed Jun 15 00:00:00 EDT 2016 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.4953542· OSTI ID:22596693

Galperin, Y. V.; Skirta, E. A. ^[1]

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1. Department of Mathematics, East Stroudsburg University, East Stroudsburg, Pennsylvania 18301 (United States)

The paper describes the results of study of a system of coupled nonlinear, Duffing-type oscillators, from the viewpoint of their self-synchronization, i.e., generation of a coherent field (order parameter) via instability of an incoherent (random-phase) initial state. We consider both the cases of dissipative coupling (e.g., via the joint radiation) and reactive coupling in a Hamiltonian system.

• OSTI ID: 22596693
• Journal Information: Chaos (Woodbury, N. Y.), Vol. 26, Issue 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
HAMILTONIANS
INSTABILITY
NONLINEAR PROBLEMS
ORDER PARAMETERS
OSCILLATORS
RANDOMNESS
SYNCHRONIZATION