Appears in collection : 2017 - T2 - Stochastic dynamics out of equilibrium

1) Basics - oscillators, phase and amplitudes - isochrons and phase response curve - phase dynamics under small forcing - phase locking and frequency entrainment - beyond phase approximation - effects of noise - phase and its synchronization for chaotic oscillators 2) Ensembles - Kuramoto model, self-consistent solution - Watanabe-Strogatz and Ott-Antonsen theories - effects of nonlinear coupling and partial synchronization - multifrequency ensembles - effects of multiharmonic coupling 3) Lattices - compactons at Hamiltonian coupling - long-term coupling and chimera states 4) Synchronization by common noise - elementary theory - interplay of common noise and coupling