Bifurcation of coisotropic invariant tori under locally Hamiltonian perturbations of integrable systems and nondegenerate deformation of symplectic structure

DOI10.1007/S11072-006-0039-9zbMath1262.37026OpenAlexW1989999907MaRDI QIDQ1949364

Yu. V. Loveikin, I. O. Parasyuk

Publication date: 7 May 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-006-0039-9

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (1)

On invariant tori with prescribed frequency in Hamiltonian systems

Cites Work

• Quasi-periodic motions in families of dynamical systems. Order amidst chaos
• On the adiabatic theorem for the Hamiltonian system of differential equations in the classical mechanics, I
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