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Exactly Solvable Phase Oscillator Models with Synchronization Dynamics

Exactly Solvable Phase Oscillator Models with Synchronization Dynamics

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 …