一维耦合格点映射中的周期解

基金项目: 国家自然科学基金资助项目(10171061)

Periodic Solutions in One-Dimensional Coupled Map Lattices

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,证明了其空间的指数衰减性。
- 耦合格点映射 /
- 非线性周期解 /
- 反可积极限 /
- logistic映射
Abstract: It is proven that the existence of no nlinear solutions with time period in one-dime nsional coupled map lattice with nearest neighbo rcoupling.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,ex ponential decay in space is proved.
- coupled map lattice /
- nonlinear periodic solution /
- anti-integrable limit /
- logistic map

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