Periodic orbits in gravitational systems

DOI10.1007/978-1-4020-4706-0_2zbMath1198.70005OpenAlexW1558183263MaRDI QIDQ3514588

John D. Hadjedemetriou

Publication date: 21 July 2008

Published in: Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-4706-0_2

zbMATH Keywords

stabilityresonancesPoincaré mapnearly integrable system

Mathematics Subject Classification ID

(n)-body problems (70F10) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (4)

Elliptic tori in FPU non-linear chains with a small number of nodes ⋮ On GIT quotients of the symplectic group, stability and bifurcations of periodic orbits (with a view towards practical applications) ⋮ PROBING THE LOCAL DYNAMICS OF PERIODIC ORBITS BY THE GENERALIZED ALIGNMENT INDEX (GALI) METHOD ⋮ Classical three rotor problem: Periodic solutions, stability and chaos

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