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Cantori, Islands and Asymptotic Curves in The Stickiness Region

Published online by Cambridge University Press:  12 April 2016

C. Efthymioulos ,
G. Contopoulos  and
N. Voglis
C. Efthymioulos
Affiliation:
Research Center for Astronomy, Academy of Athens Department of Astronomy, University of Athens
G. Contopoulos
Affiliation:
Research Center for Astronomy, Academy of Athens Department of Astronomy, University of Athens
N. Voglis
Affiliation:
Department of Astronomy, University of Athens

Abstract

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The resonant structure near a noble cantorus is found. Islands of stability are located near the gaps of the cantorus. The crossing of the gaps of the cantorus by the asymptotic curves of unstable periodic orbits is shown numerically (non-schematically). We discuss how these structures influence stickiness.

Type
Analytical and Numerical Tools
Information
International Astronomical Union Colloquium , Volume 172: Impact of Modern Dynamics in Astronomy , 1999 , pp. 221 - 230
Copyright
Copyright © Kluwer 1999

References

Aubry, S.: 1978, in Bishop, A.R. and Schneider, T.(eds) ″Solitons and Condensted Matter Physics″, Springer, p.264. CrossRefGoogle Scholar
Contopoulos, G.: 1971, Astron.J., 76, 147.Google Scholar
Contopoulos, G., Varvoglis, H. andBarbanis, B.: 1987, AstronAstrophys., 172, 55.Google Scholar
Contopoulos, G., Harsoula, M., Voglis, N., andDvorak, R.: 1998, ″DestructionofIslands of Stability″, (in preparation).Google Scholar
Efthymiopoulos, C., Contopoulos, G., Voglis, N., and Dvorak, R.: 1997, J. Phys. A:, 30, 8167.CrossRefGoogle Scholar
Greene, J.M.: 1979, J.Math.Phys., 20, 1183.Google Scholar
MacKay, R.S.: 1983, Physica, 7D, 283.Google Scholar
MacKay, R.S., Meiss, J.D., and Percival I.C., : 1984, Physica, 13D, 55.Google Scholar
Mather, J.N.: 1982, Topology, 21, 457.Google Scholar
Meiss, J.D.: 1992, Rev.Mod.Phys., 64, 795.CrossRefGoogle Scholar
Morbidelli, A., and Giorgilli, A.: 1995, J. Stat. Phys., 78, 1607.Google Scholar
Percival, I.C.: 1979, in Month, M. and Herrera, J.C. (eds) ″Nonlinear Dynamics and the Beam-Beam Interaction″, Amer.Inst.Phy s. p.302. Google Scholar
Schmidt, G., and Bialek, J.: 1982, Physica, 5D, 397.Google Scholar
Shirts, R.B. and Reinhardt, W.P.: 1982, J.ChemPhys, 77, 5204.Google Scholar
Voglis, N., and Efthymiopoulos, C.: 1998, J. Phys. A, 31, 2913.Google Scholar
Voglis, N., Contopoulos, G., and Efthymiopoulos, C.: 1998, this volume.Google Scholar