Chaos, Regularity, and Noise in Self-Gravitating Systems

dc.creatorKandrup, Henry E.
dc.date1994-10-28
dc.date.accessioned2026-07-07T09:07:28Z
dc.date.available2026-07-07T09:07:28Z
dc.descriptionThis paper summarises a number of new, potentially significant, results, obtained recently by the author and his collaborators, which impact on various issues related to the gravitational N-body problem, both Newtonianly and in the context of general relativity. Topics addressed include: (1) direct N-body simulations and their interpretation, with reference to the observed exponential instability towards small changes in initial conditions and the phenomenon of ``nonviolent relaxation;'' (2) the Hamiltonian structure of the collisionless Boltzmann equation of general relativity, i.e., the Vlasov-Einstein system; (3) ``transient ensemble dynamics,'' i.e.,,the short time statistical characterisation of collections of orbits in nonintegrable mean field potentials; and (4) the structural stability of the smooth potential approximation typically used in galactic dynamics.
dc.description19 pages, LaTeX, Invited plenary talk at the Seventh Marcel Grossmann Meeting July 1994
dc.identifierhttps://arxiv.org/abs/astro-ph/9410091
dc.identifierhttp://arxiv.org/abs/astro-ph/9410091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150386
dc.subjectAstrophysics
dc.subjectChaotic Dynamics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleChaos, Regularity, and Noise in Self-Gravitating Systems
dc.typetext

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