Renormalization for cubic frequency invariant tori in Hamiltonian systems with two degrees of freedom
Copyright policy )Renormalization for cubic frequency invariant tori in Hamiltonian systems with two degrees of freedom
We consider the break-up of invariant tori in Hamiltonian systems with two degrees of freedom with a frequency which belongs to a cubic field. We define and construct renormalization-group transformations in order to determine the threshold of the break-up of these tori. A first transformation is defined from the continued fraction expansion of the frequency, and a second one is defined with a fixed frequency vector in a space of Hamiltonians with three degrees of freedom.
- Georgia Institute of Technology United States
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, Nearly integrable Hamiltonian systems, KAM theory, Universality and renormalization of dynamical systems, FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion, Nearly integrable Hamiltonian systems, KAM theory, Universality and renormalization of dynamical systems, FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics
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