Amplitude expansions for instabilities in populations of globally-coupled oscillators

Biological rhythms and the behavior of populations of coupled oscillators

Arthur T. Winfree · Journal of Theoretical Biology · 1967 · 2K citations

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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

Jack D. Cowan · Mathematical Biosciences · 1986 · 1.1K citations

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Stability of incoherence in a population of coupled oscillators

Steven H. Strogatz, Renato Mirollo · Journal of Statistical Physics · 1991 · 578 citations

Natural Sciences, Physics, Complex Systems +11

Introduction to bifurcation theory

John D. Crawford · Reviews of Modern Physics · 1991 · 411 citations · Full text

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Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities

Yoshiki Kuramoto, Ikuko Nishikawa · Journal of Statistical Physics · 1987 · 377 citations

Natural Sciences, Mathematics, Physics +17