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- Publisher
- Springer Journals
- Copyright
- Copyright © 2015 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Dynamical Systems and Ergodic Theory
- ISSN
- 1560-3547
- eISSN
- 1468-4845
- DOI
- 10.1134/S1560354715060015
- Publisher site
- See Article on Publisher Site
Abstract
We deal with the stability problem of an equilibrium position of a periodic Hamiltonian system with one degree of freedom. We suppose the Hamiltonian is analytic in a small neighborhood of the equilibrium position, and the characteristic exponents of the linearized system have zero real part, i.e., a nonlinear analysis is necessary to study the stability in the sense of Lyapunov. In general, the stability character of the equilibrium depends on nonzero terms of the lowest order N (N >2) in the Hamiltonian normal form, and the stability problem can be solved by using known criteria.
Journal
Regular and Chaotic Dynamics – Springer Journals
Published: Dec 5, 2015