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Nonsemisimple 1∶1 resonance at an equilibrium

✍ Scribed by Jan-Cees Van Der Meer


Book ID
105140765
Publisher
Springer Netherlands
Year
1982
Tongue
English
Weight
694 KB
Volume
27
Category
Article
ISSN
1572-9478

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The problem of the stability of the equi
✍ A.P. Markeyev 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 476 KB

The stability of the equilibrium position of an autonomous Hamiltonian system with two degrees of freedom is investigated. It is assumed that the equilibrium is stable in the linear approximation, the frequencies 0)1 and 0)2 of small oscillations are connected by the resonance relation 0)1 --30)2, a