Abstract: We construct a family of completely integrable systems εN-close to a slow-fast Hamiltonian system with two degrees of freedom which is described in the framework of the averaging method over slow-fast phase spaces with S1-symmetry. Our approach is based on the free-coordinate normalization procedure for slow-fast Hamiltonian system with two degree of freedom.
Bibliographical noteFunding Information:
This research was partially supported by the University of Sonora (UNISON) under the project USO no. 315007338.
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- averaging method
- improved first integral
- integrable model
- normal form theory
- slow-fast Hamiltonian system