Computational chaos in the nonlinear Schrödinger equation without homoclinic crossings

  • Ablowitz M
  • Herbst B
  • Schober C
  • 4


    Mendeley users who have this article in their library.
  • 26


    Citations of this article.


A Hamiltonian difference scheme associated with the integrable nonlinear Schrödinger equation with periodic boundary values is used as a prototype to demonstrate that perturbations due to truncation effects can result in a novel type of chaotic evolution. The chaotic solution is characterized by random bifurcations across standing wave states into left and right going traveling waves. In this class of problems where the solutions are not subject to even constraints, the traditional mechanism of crossings of the unperturbed homoclinic orbits/manifolds is not observed.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free