Singularity Theory and Equivariant Symplectic Maps

The monograph is a study of the local bifurcations of multiparameter symplectic maps of arbitrary dimension in the neighborhood of a fixed point.The problem is reduced to a study of critical points of an equivariant gradient bifurcation problem, using the correspondence between orbits ofa symplectic...

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Bibliografiske detaljer
Auteurs principaux: Bridges, Thomas J., 1955-, Furter, Jacques E., 1957- (Auteur)
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in mathematics 1558
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Edition sous un autre format:• Singularity theory and equivariant symplectic maps, Thomas J. Bridges, Jacques E. Furter, Berlin, Springer-Verlag, 1993, 1 vol. (VI-226 p.), Lecture notes in mathematics, 3-540-57296-1
• Singularity Theory and Equivariant Symplectic Maps, Texte imprimé, 9783662180600
Indholdsfortegnelse:
  • Generic bifurcation of periodic points
  • Singularity theory for equivariant gradient bifurcation problems
  • Classification of Zq-equivariant gradient bifurcation problems
  • Period-3 points of the generalized standard map
  • Classification of Dq-equivariant gradient bifurcation problems
  • Reversibility and degenerate bifurcation of period-q points of multiparameter maps
  • Periodic points of equivariant symplectic maps
  • Collision of multipliers at rational points for symplectic maps
  • Equivariant maps and the collision of multipliers.