Phase-locking for Mathieu type vector fields on a torus

DOI10.1007/BF01077066zbMath0761.58047OpenAlexW1976765258MaRDI QIDQ1200371

O. G. Galkin

Publication date: 16 January 1993

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077066

zbMATH Keywords

resonancetrigonometrical polynomialNewton's polyhedron

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ordinary differential equations and systems on manifolds (34C40)

Related Items (1)

A structure of the oscillation frequencies parameter space for the system of dissipatively coupled oscillators

Cites Work

• Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
• Resonance regions for Mathieu type dynamical systems on a torus
• Remarks on the perturbation theory for problems of Mathieu type
• Resonance regions for families of torus maps

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