A network of coupled limit cycle oscillators with delayed interactions is considered. The parameters characterizing the oscillator’s frequency and limit cycle are allowed to self-adapt. Adaptation is due to time-delayed state variables thatmutually interac ...
We consider a network of N coupled limit cycle oscillators, each having a set of control parameters Λ_k, k = 1, . . . , N, that controls the frequency and the geometry of the limit cycle. We implement a self-adaptive mechanism that drives the local systems ...
We analytically discuss a multiplicative noise generalization of the Kuramoto- Sakaguchi dynamics for an assembly of globally coupled phase oscillators. In the mean-field limit, the resulting class of invariant measures coincides with a generalized, two-par ...