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 chain of FPU cells.
Differences between chains in nearest-neighbour interaction and those in overall
interaction are caused by symmetry. We will also show some results on the dynamics of a particular chain of FPU cells where different
kinds of chaos play a part
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 chain of FPU cells.
Differences between chains in nearest-neighbour interaction and those in overall
interaction are caused by symmetry. We will also show some results on the dynamics of a particular chain of FPU cells where different
kinds of chaos play a part
| Original language | English |
|---|---|
| Pages | 603-612 |
| Number of pages | 10 |
| Publication status | Published - 7 Dec 2015 |
| Event | 13th International Conference Dynamical Systems - Theory and Applications - Lodz, Poland Duration: 7 Dec 2015 → 10 Dec 2015 |
Conference
| Conference | 13th International Conference Dynamical Systems - Theory and Applications |
|---|---|
| Country/Territory | Poland |
| City | Lodz |
| Period | 7/12/15 → 10/12/15 |
Keywords
- Fermi-Pasta-Ulam
- recurrence
- chaos