科研之友
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摘要
We consider Hamiltonian networks of long-ranged and weakly coupled oscillators with variable frequencies. By deriving an abstract infinite dimensional KAM type of theorem, we show that for any given positive integer N and a fixed, positive measure set empty set of N variable frequencies, there is a subset empty set(* subset of) empty set of positive measure such that each omega is an element of empty set(*) corresponds to a small amplitude, quasi-periodic breather (i.e. a solution which is quasi-periodic in time and exponentially localized in space) of the Hamiltonian network with N-frequencies which are slightly deformed from omega.
- 出版日期2007-6
- 单位南京大学
