Regular and chaotic recurrence in FPU cell-chains. (English) Zbl 1443.37057
Summary: 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.
MSC:
| 37K60 | Lattice dynamics; integrable lattice equations |
References:
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