摘要
证明了具有最临近耦合的一维耦合格点映射关于时间为周期的非线性解的存在性· 这一类系统能被看成无穷个耦合振子构成的阵列· 给出了估计这类关于时间为周期的解存在的临界耦合强度的一种方法· 对于一些特殊的关于时间为周期的非线性解。
It is proven that the existence of nonlinear solutions with time period in one_dimensional coupled map lattice with nearest neighbor coupling.This is a class of systmes whose behavior can be regarded as infinite array of coupled oscillators.A method for estimating the critical coupling strength below which these solutions with time period persist is given.For some particular nonlinear solutions with time period,exponential decay in space is proved.
出处
《应用数学和力学》
EI
CSCD
北大核心
2003年第5期461-465,共5页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10171061)
