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Stability of Equilibrium Solutions of Autonomous and Periodic Hamiltonian Systems withn-Degrees of Freedom in the Case of Single Resonance

✍ Scribed by F. dos Santos; José E. Mansilla; C. Vidal

Publisher
Springer US
Year
2010
Tongue
English
Weight
236 KB
Volume
22
Category
Article
ISSN
1040-7294

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The orbital stability of periodic motion
The orbital stability of periodic motions of a Hamiltonian system with two degrees of freedom in the case of 3:1 resonance
✍ B.S. Bardin 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 344 KB

The problem of the orbital stability of periodic motions, produced from an equilibrium position of an autonomous Hamiltonian system with two degrees of freedom is considered. The Hamiltonian function is assumed to be analytic and alternating in a certain neighbourhood of the equilibrium position, th