Synchronization of coupled generators of quasiperiodic oscillations
Nataliya Stankevich, Alexander Kuznetsov
TL;DR
This paper investigates the synchronization phenomena in coupled quasiperiodic oscillators, revealing conditions for complete and phase synchronization, and analyzing the system's bifurcations and resonance structures using dynamical regime charts.
Contribution
It introduces a detailed analysis of synchronization regimes and bifurcations in coupled quasiperiodic oscillators, highlighting the role of resonance webs and parameter space structures.
Findings
Complete and phase synchronization regimes identified.
Resonance Arnold web structures observed in parameter space.
Quasiperiodic bifurcations discussed and characterized.
Abstract
The dynamics of two coupled generators of quasiperiodic oscillations is studied. The opportunity of complete and phase synchronization of generators in the regime of quasiperiodic oscillations is obtained. The features of structure of parameter plane is researched using charts of dynamical regimes and charts of Lyapunov exponents, in which typical structures as resonance Arnold web were revealed. The possible quasiperiodic bifurctions in the system are discussed.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicsstochastic dynamics and bifurcation · Nonlinear Dynamics and Pattern Formation · Chaos control and synchronization