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Recurrent Dimensions of Quasi-Periodic Solutions for Nonlinear Evolution Equations

Koichiro Naito
Transactions of the American Mathematical Society
Vol. 354, No. 3 (Mar., 2002), pp. 1137-1151
Stable URL: http://www.jstor.org/stable/2693872
Page Count: 15
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Recurrent Dimensions of Quasi-Periodic Solutions for Nonlinear Evolution Equations
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Abstract

In this paper we introduce recurrent dimensions of discrete dynamical systems and we give upper and lower bounds of the recurrent dimensions of the quasi-periodic orbits. We show that these bounds have different values according to the algebraic properties of the frequency and we investigate these dimensions of quasi-periodic trajectories given by solutions of a nonlinear PDE.

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