Title:
Quasi-Periodic Breathers in Hamiltonian Networks of Long-Range Coupling

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Author(s)
Geng, Jiansheng
Viveros, Jorge
Yi, Yingfei
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Abstract
This work is concerned with Hamiltonian networks of weakly and long-range coupled oscillators with either variable or constant on-site frequencies. We derive an infinite dimensional KAM-like theorem by which we establish that, given any N-sites of the lattice, there is a positive measure set of small amplitude, quasi-periodic breathers (solutions of the Hamiltonian network that are quasi-periodic in time and exponentially localized in space) having N-frequencies which are only slightly deformed from the on-site frequencies.
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The first author is partially supported by NSFC grant 10771098, 973 projects of China and NSFJP grant BK2007134. The third author is partially supported by NSFC grant 10428101 and NSF grants DMS0204119, DMS0708331.
Date Issued
2007-07-03
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