Journal of Nonlinear Science

, Volume 9, Issue 4, pp 363–415

Smale Horseshoes and Symbolic Dynamics in Perturbed Nonlinear Schrödinger Equations


DOI: 10.1007/s003329900074

Cite this article as:
Li, Y. J. Nonlinear Sci. (1999) 9: 363. doi:10.1007/s003329900074


, which offers an interpretation of the numerical observation on the perturbed NLS system: chaotic center-wing jumping, of course under the ``except one point''—type conditions (A1)—(A3). This study is a generalization of the finite-dimensional study [14] to infinite-dimensional perturbed NLS systems.

Copyright information

© Springer-Verlag New York Inc. 1999

Authors and Affiliations

  • Y. Li
    • 1
  1. 1.Department of Mathematics, University of California at Los Angeles, Los Angeles, CA 90024, USAUS
  2. 2.Present Address: Department of Mathematics, 2-336, Massachusetts Institute for Technology, Cambridge, MA 02139, USA. Also, School of Mathematics, Institute of Advanced Study, Princeton, NJ 08540, USA.US