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Exactly solvable phase oscillator models with syncrhonization dynamics
Bonilla, L. L. (Luis López), 1956-; Pérez-Vicente, Conrado, 1962-; Ritort Farran, Fèlix; Soler, J.
Universitat de Barcelona
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.
26-06-2010
Física estadística
Termodinàmica
Models matemàtics
Statistical physics
Thermodynamics
Mathematical models
(c) American Physical Society, 1998
Artículo
American Physical Society
         

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