Phase- and Center-Manifold Reductions for Large Populations of Coupled Oscillators with Application to Non-Locally Coupled Systems

DOI10.1142/S0218127497000595zbMath0901.92015OpenAlexW2026828636MaRDI QIDQ3841155

Yoshiki Kuramoto

Publication date: 25 October 1998

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127497000595

zbMATH Keywords

evolution equationcell assemblyphase reductioncenter-manifold reductioncoupled limit-cycle oscillators

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Applications of dynamical systems (37N99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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