Two novel methods and multi-mode periodic solutions for the Fermi-Pasta-Ulam model

被引：23

作者：

Arioli, G

Koch, H

Terracini, S

机构：

[1] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Univ Texas, Dept Math, Austin, TX 78712 USA

[3] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20126 Milan, Italy

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2005年 / 255卷 / 01期

关键词：

D O I：

10.1007/s00220-004-1251-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce two novel methods for studying periodic solutions of the FPU beta-model, both numerically and rigorously. One is a variational approach, based on the dual formulation of the problem, and the other involves computer-assisted proofs. These methods are used e.g. to construct a new type of solutions, whose energy is spread among several modes, associated with closely spaced resonances.

引用

页码：1 / 19

页数：19

共 21 条

[1] Periodic motions of an infinite lattice of particles with nearest neighbor interaction [J].