Multibump solutions to possibly degenerate equilibria for almost periodic Lagrangian systems

被引：11

作者：

Alessio, F

Bertotti, ML

Montecchiari, P

机构：

[1] Univ Naples Federico II, Dipartimento Matemat R Caccioppoli, I-80126 Naples, Italy

[2] Univ Trieste, Dipartimento Sci Matemat, I-34100 Trieste, Italy

[3] Univ Trent, Dipartimento Ingn Meccan & Strutturale, I-38050 Trento, Italy

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1999年 / 50卷 / 06期

关键词：

Lagrangian systems; homoclinic; heteroclinic; multibump solutions; almost periodicity; variational methods;

D O I：

10.1007/s000330050184

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study via variational methods some chaotic features of a class of almost periodic Lagrangian systems on a torus. In particular we show that slowly oscillating perturbations of such systems admit a multibump dynamics relative to possibly degenerate equilibria. Mathematics Subject Classification (1991). 34C37, 58F05. 70H35.

引用

页码：860 / 891

页数：32

共 43 条

[1] Genericity of the multibump dynamics for almost periodic Duffing-like systems [J].