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1998

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/13184

Exactly solvable phase oscillator models with syncrhonization dynamics

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http://dx.doi.org/10.1103/PhysRevLett.81.3643

Abstract

Populations of phase oscillators interacting globally through a general coupling function f(x) have been considered. We analyze the conditions required to ensure the existence of a Lyapunov functional giving close expressions for it in terms of a generating function. We have also proposed a family of exactly solvable models with singular couplings showing that it is possible to map the synchronization phenomenon into other physical problems. In particular, the stationary solutions of the least singular coupling considered, f(x) = sgn(x), have been found analytically in terms of elliptic functions. This last case is one of the few nontrivial models for synchronization dynamics which can be analytically solved.

Subject

Física estadística, Termodinàmica, Models matemàtics

Subject (English)

Statistical physics, Thermodynamics, Mathematical models

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

BONILLA, L. L. (Luis López), et al. Exactly solvable phase oscillator models with syncrhonization dynamics. Physical Review Letters. 1998. Vol. 81, num. 17, pags. 3643-3646. ISSN 0031-9007. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/13184

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