Periodic, escape and chaotic orbits in the Copenhagen and the \((n + 1)\)-body ring problems

DOI10.1016/j.cnsns.2008.07.007zbMath1221.70015OpenAlexW2046443412MaRDI QIDQ716746

Roberto Barrio, Fernando Blesa, Sergio E. Serrano

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.07.007

zbMATH Keywords

chaosperiodic orbits\((n + 1)\)-body ring problemchaos indicatorsCopenhagen problemescape orbits

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) (n)-body problems (70F10)

Related Items (11)

BIFURCATIONS FROM PLANAR TO THREE-DIMENSIONAL PERIODIC ORBITS IN THE RING PROBLEM OF N BODIES WITH RADIATING CENTRAL PRIMARY ⋮ Classifying orbits in the restricted three-body problem ⋮ Convergent power series of \(\operatorname{sech}(x)\) and solutions to nonlinear differential equations ⋮ Regions of a satellite's motion in a Maxwell's ring system of \(N\) bodies ⋮ High-precision continuation of periodic orbits ⋮ Particle dynamics in a Maxwell's ring-type configuration with a radiating central primary ⋮ Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field ⋮ Automatic implementation of the numerical Taylor series method: a \textsc{Mathematica} and \textsc{Sage} approach ⋮ Breaking the limits: The Taylor series method ⋮ BIFURCATIONS AND CHAOS IN HAMILTONIAN SYSTEMS ⋮ A numerical algorithm for solving higher-order nonlinear BVPs with an application on fluid flow over a shrinking permeable infinite long cylinder

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