Periodic Solutions and KAM Tori in a Triaxial Potential
| Autor: | Jhon Vidarte, Jesús F. Palacián, Claudio Vidal, Patricia Yanguas |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
010102 general mathematics
Mathematical analysis Torus 01 natural sciences Stability (probability) Resonance (particle physics) 010305 fluids & plasmas Hamiltonian system Modeling and Simulation 0103 physical sciences 0101 mathematics Reduction (mathematics) Analysis Bifurcation Mathematics Linear stability |
| Zdroj: | SIAM Journal on Applied Dynamical Systems. 16:159-187 |
| ISSN: | 1536-0040 |
| DOI: | 10.1137/16m1082925 |
| Popis: | The existence and stability of periodic solutions for an autonomous Hamiltonian system in 1:1:1 resonance depending on two real parameters $\alpha$ and $\beta$ is established using reduction and averaging theories. The different types of periodic solutions as well as their bifurcation curves are characterized in terms of the parameters. The linear stability of each periodic solution, together with the determination of KAM 3-tori encasing some of the linearly stable periodic solutions, is proved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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