Theory of synchronization - Lecture 3
By Arkady Pikovsky (Univ. Potsdam)
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