Construction of Quasi-Periodic Breathers¶via KAM Technique |
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| Authors: | Xiaoping Yuan |
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| Institution: | Department of Mathematics and Laboratory of Mathematics for Nonlinear Science, Fuda University,?Shanghai 200433, P.R. China. E-mail: yuanxiaoping@hotmail.com, xpyuan@fudan.edu, CN
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| Abstract: | By developing a KAM theorem which involves an infinitely multiple normal frequency, it is shown that there are plenty of
breathers, quasi-periodic in time and super-exponentially localized in space, for the networks of weakly coupled oscillators.
This answers an open problem by Aubry A2] in case the linearized system has no continuous spectrum.
Received: 29 March 2001 / Accepted: 10 October 2001 |
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