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Zbl 1221.70015
Barrio, Roberto; Blesa, Fernando; Serrano, Sergio
Periodic, escape and chaotic orbits in the Copenhagen and the $(n + 1)$-body ring problems. (English)
[J] Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2229-2238 (2009). ISSN 1007-5704

Summary: We study the use of recent computational techniques in the numerical study of qualitative properties of two degrees of freedom Hamiltonian systems. Two particular problems, the Copenhagen and the $(n + 1)$-body ring problems, are studied by using Chaos Indicators, the Crash Test and by computing the skeleton of symmetric periodic orbits.

MSC 2000:: *70F10 n-body problem
70K55 Transition to stochasticity (chaotic behavior)

Keywords: Copenhagen problem; $(n + 1)$-body ring problem; periodic orbits; chaos indicators; chaos; escape orbits

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