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Stability of synchronization in a shift-invariant ring of mutually coupled oscillators

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Publication:950582
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DOI10.3934/DCDSB.2008.10.973zbMath1184.34061OpenAlexW2150101792MaRDI QIDQ950582

Rene Yamapi, Robert S. MacKay

Publication date: 30 October 2008

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2008.10.973


zbMATH Keywords

periodic solutionsLyapunov exponentssynchronizationMaster stability functionring of coupled oscillators


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Synchronization of solutions to ordinary differential equations (34D06)


Related Items (2)

Simplest bifurcation diagrams for monotone families of vector fields on a torus ⋮ Dissipation effects in infinite-dimensional Hamiltonian systems







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