Comparative dynamics of chains of coupled van der Pol equations and coupled systems of van der Pol equations

DOI10.1134/S0040577921050081zbMath1469.35213OpenAlexW3174777149MaRDI QIDQ2036380

S. A. Kashenko

Publication date: 29 June 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921050081

zbMATH Keywords

asymptotic solutionperiodic boundary conditionschains of systems of two first-order van der Pol equationschains of van der Pol equations closed into a ring

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Integro-partial differential equations (35R09)

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Dynamics of chains of many oscillators with unidirectional and bidirectional delay coupling

Cites Work

• About Landau-Hopf scenario in a system of coupled self-oscillators
• Asymptotics of periodic solutions of autonomous parabolic equations with small diffusion
• Chemical oscillations, waves, and turbulence
• Dynamics of delay systems with rapidly oscillating coefficients
• Bifurcations in Kuramoto-Sivashinsky equations
• Dynamics of the Kuramoto equation with spatially distributed control
• Asymptotics of regular solutions to the Camassa-Holm problem
• Synchronization in oscillatory networks
• NORMALIZATION IN THE SYSTEMS WITH SMALL DIFFUSION
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