ON THE PERIODIC SOLUTIONS OF A CLASS OF DUFFING DIFFERENTIAL EQUATION

被引：7
作者：
Llibre, Jaume [1 ]
Roberto, Luci Any [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Ibilce UNESP, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, Brazil
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 01期
关键词：
Periodic solution; averaging method; Duffing differential equation; bifurcation; stability; STABILITY;
D O I：
10.3934/dcds.2013.33.277
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we study the periodic solutions, their stability and bifurcation for the class of Duffing differential equation x '' + epsilon Cx' + epsilon(2) A(t)x + b(t)x(3) = epsilon(3) Lambda h(t), where C > 0, epsilon > 0 and Lambda are real parameter, A(t), b(t) and h(t) are continuous T-periodic functions and epsilon is sufficiently small. Our results are proved using the averaging method of first order.
引用
收藏
页码：277 / 282
页数：6
相关论文
共 50 条
12345