… A number of phase models have been proposed over the … of large populations of nonlinear
oscillators subject to a variety of … of oscillators in practice, both in phase and frequency, has …

… period and frequency of the oscillator may vary when the oscillator is perturbed… nonlinear
oscillators, apart from a few special cases. See Appendix 2 for the Stuart–Landau (SL) oscillator…

… phase-locking in a network of coupled nonlinear oscillators with local interactions and random
intrinsic frequencies… Discrete populations of coupled nonlinear oscillators have been used …

… Here a technique is described by which phase diffusion due to this noise can … phase diffusion
by using the technique on an oscillator whose frequencycontrolling element is a nonlinear …

… In the particular model we study here, the natural frequencies of the oscillators are assumed
to be randomly distributed across the population. This assumption is inspired by examples …

… , frequency locking, and oscillator death, there exist hybrid solutions that combine two or more
of these states. We present the phase … oscillators, we compute the average frequency (also …

… effects of noise on frequency or phase dynamics that we analyze … In physics there exist
several instances of nonlinear oscillators … For example, in nonlinear optics we find extensive …

… We present a method to obtain the frequency spectrum of a signal with a nonlinear … pool
of adaptive frequency oscillators with negative mean-field coupling. For the frequency analysis, …

… state space decomposition of perturbed nonlinear oscillators that will be instrumental in the
development of our phase reduced model. We consider a nonlinear oscillator subject to an …

… That is, our study is extended to frequency ranges other than that corresponding to the …
phases, which are structurally stable, and the transitions among them. An unambiguous phase …