The almost-periodic solutions of the weakly coupled pendulum equations

被引：0
作者：
Li, Hepeng [1 ,2 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China
[2] Sichuan Univ Arts & Sci, Dept Math, Dazhou, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
关键词：
Coupled pendulum equations; Normally hyperbolic invariant tori; Almost-periodic solutions; KAM theory; HYPERBOLIC INVARIANT TORI; PHASE-LOCKING; HAMILTONIAN NETWORKS; IN-PHASE; SYNCHRONIZATION; OSCILLATORS; BREATHERS; STABILITY; MODEL; CHAOS;
D O I：
10.1186/s13662-018-1604-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, it is proved that, for the networks of weakly coupled pendulum equations d(2)X(n)/dt(2) + lambda(2)(n) SinX(n) = is an element of W-n(Xn-1,X-n,Xn-1), n is an element of Z, there are many (positive Lebesgue measure) normally hyperbolic invariant tori which are infinite dimensional in both tangent and normal directions.
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页数：22
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