Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators

Details Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators

2011-06-16

arxiv.org/abs/1106.3247v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

We prove that a group of injection-locked oscillators, each modelled using a nonlinear phase macromodel, responds as a single oscillator to small external perturbations. More precisely, we show that any group of injection-locked oscillators has a single effective PRC [1] or PPV [2], [3] that characterises its phase/timing response to small external perturbations. This result constitutes a foundation for understanding and predicting synchronization/timing hierarchically in large, complex systems that arise in nature and engineering.

Affiliated with

Also associated with

No associations

Rating

Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-190221