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Order and chaos in a three dimensional galaxy model
Affiliation:1. Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, 62251 Cuernavaca, Mexico;2. Department of Physics, School of Science, Aristotle University of Thessaloniki, GR-541 24 Thessaloniki, Greece;1. DEIM, University of Tuscia, Largo dell’Università, 01100 Viterbo, Italy;2. Department of Enterprise Engineering, University of Rome “Tor Vergata”, Via del Politecnico 1, 00133 Rome, Italy;1. Center for Advanced Life Cycle Engineering, University of Maryland, College Park, MD 20742, United States;2. Department of Electronic Engineering, City University of Hong Kong, Hong Kong;1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma “La Sapienza”, 00184 Roma, Italy;2. Institute of Mechanics and Printing, Warsaw University of Technology, 85 Narbutta, Warsaw 02-524, Poland;3. Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA;4. International Research Center for the Mathematics and Mechanics of Complex Systems – MeMoCS, Università dell’Aquila, Italy
Abstract:
We explore the orbital dynamics of a realistic three dimensional model describing the properties of a disk galaxy with a spherically symmetric central dense nucleus and a triaxial dark matter halo component. Regions of phase space with regular and chaotic motion are identified depending on the parameter values for triaxiality of the dark matter halo and for breaking the rotational symmetry. The four dimensional Poincaré map of the three degrees of freedom system is analyzed by a study of its restriction to various two dimensional invariant subsets of its domain.
Keywords:Hamiltonian systems  Ordered and chaotic motion  Symplectic map of dimension four
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