Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471032 | Applied Mathematical Modelling | 2017 | 8 Pages |
Abstract
In contrast to the classical Fermi-Pasta-Ulam (FPU) chain, the inhomogeneous FPU chain shows nearly all the principal resonances. Using this fact, we can construct a periodic FPU chain of low dimension, for instance a FPU cell of four degrees-of-freedom, that can be used as a building block for a FPU cell-chain. This is a new type of chain. Differences between chains in nearest-neighbor interaction and those in overall interaction are caused by symmetry. We will show some striking results on the dynamics of FPU cell-chains where near-integrable behavior or chaos plays a part near stable equilibrium.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Ferdinand Verhulst,