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PERSISTENT HOMOCLINIC ORBITS FOR A PERTURBED CUBIC-QUINTIC NONLINEAR SCHROEDINGER EQUATION 被引量:2

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摘要 In this paper ,the existence of homoclinic orbits,for a perturbed cubic-quintic nonlinear Schroedinger equation with even periodic boundary conditions ,under the geralized parameters conditions is established.More specifically,we combine geometric singular perturbation theory,with ,Melnikov analysis and integrable theory to prove the persistences of homoclinic orbits.
出处 《Journal of Partial Differential Equations》 2002年第2期6-36,共31页 偏微分方程(英文版)
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  • 1Moser J. Stable and random motions in dynamical systems[A].In: Annals of Mathematics Studies[C]. Princeton: 77 Princeton University Press, NJ, 1973.
  • 2Wiggins S. Global Bifurcations and Chaos, Analytic Methods[M]. New York. Springer-Verlag, 1988.
  • 3Li Y, Wiggins S. Homoclinic orbits and chaos in discretized perturbed NLS systems: Part Ⅱ, Symbolic dynamics[ J]. J Nonlinear Sci, 1997,7(4) :315-370.
  • 4Li Y, Wiggins S. Homoclinic orbits and chaos in discretized perturbed NLS systems: Part I, Homoclinic orbits[J]. J Nonlinear Sci, 1997,7(3) :211-269.

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