Synchronization of coupled generators of quasiperiodic oscillations

2016/03/31 by Nataliya Stankevich, Alexander Kuznetsov, Stankevich, Nataliya +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Chaos control and synchronization #Combinatorics #Condensed matter physics #Geometry #Lyapunov exponent #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Physics #Plane (geometry) #Quantum mechanics #Quasiperiodic function #Statistical physics #Synchronization (alternating current) #Topology (electrical circuits) #nlin.CD #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.1603.09659

published in arXiv (Cornell University) (Cornell University) · 6 pages, 9 figures

arxiv created 2016/03/31 · openalex publication_date 2016/03/31 · arxiv updated 2016/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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