Stability interchanges in a curved Sitnikov problem

DOI10.1088/0951-7715/29/3/1056zbMath1411.70014arXiv1701.07451OpenAlexW2963870234MaRDI QIDQ2807482

Ernesto Pérez-Chavela, Mark Levi, Luis Franco-Pérez, Marian Gidea

Publication date: 25 May 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.07451

zbMATH Keywords

Sitnikov problemqualitative theorystability interchanges

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) (n)-body problems (70F10) Stability theory for smooth dynamical systems (37C75) Topological and differential topological methods for problems in mechanics (70G40)

Related Items (4)

Symmetric periodic solutions in the Sitnikov problem ⋮ On the \(n\)-body problem on surfaces of revolution ⋮ Resonance tongues in the linear Sitnikov equation ⋮ The spatial problem of 2 bodies on a sphere. Reduction and stochasticity

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