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The Role of Chaos in Barred Galaxies

Published online by Cambridge University Press:  12 April 2016

G. Contopoulos  and
N. Voglis
G. Contopoulos
Affiliation:
Department of Astronomy, University of Athens Panepistimiopolis, GR-157 84 Athens, Greece
N. Voglis
Affiliation:
Department of Astronomy, University of Athens Panepistimiopolis, GR-157 84 Athens, Greece

Abstract

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Ordered orbits in barred galaxies appear along the bar and between the −4/1 and −2/1 resonances of the outer spiral. Chaotic orbits appear mainly near corotation. Such orbits support the bar and the spiral for long times and they are important for self-consistency. There are three main mechanisms for transition from order to chaos: (a) infinite bifurcations, (b) infinite gaps, and (c) infinite spirals. The Lyapunov characteristic number is zero for ordered orbits and positive for chaotic orbits. But much more information is provided by the distribution of the stretching numbers (one-period Lyapunov characteristic numbers). The spectrum of stretching numbers is invariant with respect to initial conditions in a connected chaotic domain. We provide examples of such spectra for 2-D maps, plane galactic orbits, 2-D dissipative systems, 3-D systems (represented by 4-D maps), and systems depending periodically on the time.

Type
Part VI. Theory of Barred Galaxies II.
Information
International Astronomical Union Colloquium , Volume 157: Barred Galaxies , 1996 , pp. 321 - 338
Copyright
Copyright © Astronomical Society of the Pacific 1996

References

Benettin, G., Cercignani, C., Galgani, L., & Giorgilli, A. 1980, Lett. Nuovo Cim., 29, 1 Google Scholar
Chirikov, B.V. 1979, Phys. Rep., 52, 263 CrossRefGoogle Scholar
Contopoulos, G. 1966, in Les Nouvelles Méthodes de la Dynamique Stellaire, Nahon, F. & Hénon, M., Paris: CNRS Google Scholar
Contopoulos, G. 1967, Bull. Astron., 2, Fasc. 1, 223 Google Scholar
Contopoulos, G. 1980, A&A, 81, 198 Google Scholar
Contopoulos, G. 1983a, Physica, 8D, 142 Google Scholar
Contopoulos, G. 1983b, Cel. Mech., 31, 193 Google Scholar
Contopoulos, G. 1988, Cel. Mech., 43, 147 Google Scholar
Contopoulos, G., Gottesman, S.T., Hunter, J.H., & England, M.N. 1989, ApJ, 343, 608 CrossRefGoogle Scholar
Contopoulos, G. & Grosbol, P. 1989, A&ARev., 1, 261 Google Scholar
Contopoulos, G., Kandrup, H., & Kaufmann, D. 1993, Physica D, 64, 310 Google Scholar
Contopoulos, G., Grousousakou, E., & Voglis, N. 1995a, A&A, in pressGoogle Scholar
Contopoulos, G., Voglis, N., Efthymiopoulos, C., & Grousousakou, E. 1995b, in Waves in Astrophysics, Hunter, J. & Wilson, R., Ann. N.Y. Acad. Sci., in pressGoogle Scholar
Coullet, P. & Tresser, C. 1978, J. de Physique, 39, C5 Google Scholar
Deprit, A. & Henrard, J. 1968, Adv. Astron. Astrophys., 6, 1 Google Scholar
Feigenbaum, M. 1978, J. Stat. Phys., 19, 25 Google Scholar
Froeschlé, C., Froeschlé, C., & Lohinger, E. 1993, Celest. Mech. Dyn. Astron., 56, 307 CrossRefGoogle Scholar
Fujisaka, H. 1983, Prog. Theor. Phys., 70, 1264 Google Scholar
Gnedin, O.Y., Goodman, J., & Frei, Z. 1995, Princeton Obs. preprintGoogle Scholar
Grassberger, P., Badii, R., & Politi, A. 1988, Stat. Phys., 51, 135 Google Scholar
Kandrup, H.E. & Mahon, M.E.: 1994, in Three-Dimensional Systems, H.E.Kandrup, , Gottesman, S., & Ipser, J., Ann. N.Y.Acad. Sci., 751, 93 Google Scholar
Kaufmann, D. & Contopoulos, G. 1995, A&A, in pressGoogle Scholar
Miller, R.H. & Smith, B.F. 1994, Cel. Mech. Dyn. Astron., 59, 161 CrossRefGoogle Scholar
Pinotsis, A. 1991, in Long Term Behaviour of Natural and Artificial N-Body Systems, Roy, A., Dordrecht: Kluwer, 465 Google Scholar
Rosenbluth, M.N., Sagdeev, R.A., Taylor, J.B., & Zaslavskii, M. 1966, Nucl.Fusion, 6, 217 Google Scholar
Smith, H. & Contopoulos, G. 1995, in Waves in Astrophysics, Hunter, J. & R.Wilson, , Ann. N.Y. Acad. Sci., in pressGoogle Scholar
Strǒmgren, E. 1924, Copenhagen Obs. Publ. 47 Google Scholar
Udry, S. & Pfenniger, D. 1988, A&A, 198, 135 Google Scholar
Voglis, N. & Contopoulos, G. 1994, J. Phys., A 27, 5357 Google Scholar
Zaslavskii, G.M. & Chirikov, B.V. 1972, Sov. Phys. Uspekhi, 14, 549 Google Scholar