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Smale Horseshoes and Symbolic Dynamics in Perturbed Nonlinear Schrödinger Equations

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, 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.

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Received September 16, 1996; revised September 23, 1997; final version received May 12, 1998

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Li, Y. Smale Horseshoes and Symbolic Dynamics in Perturbed Nonlinear Schrödinger Equations. J. Nonlinear Sci. 9, 363–415 (1999). https://doi.org/10.1007/s003329900074

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