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Periodic orbits of coupled oscillators near resonance

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Publication:1387139
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zbMath0898.34035MaRDI QIDQ1387139

Carmen C. Chicone

Publication date: 8 November 1998

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)


zbMATH Keywords

existencevan der Pol oscillatorspersistent periodic solutionsperturbed systems of differential equationsweakly coupled planar oscillators


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Local and nonlocal bifurcation theory for dynamical systems (37G99)


Related Items (2)

The stable limit cycles: a synchronization phenomenon ⋮ Bifurcation of periodic solutions and invariant tori for a four-dimensional system




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