## Multibump periodic motions of an infinite lattice of particles.(English)Zbl 0871.34028

We prove the existence of infinitely many periodic motions of an infinite lattice of particles with repulsive-attractive nearest neighbor interaction. Under a suitable assumption we prove that these solutions are of multibump type by a construction procedure.

### MSC:

 37-XX Dynamical systems and ergodic theory 70F35 Collision of rigid or pseudo-rigid bodies 70K50 Bifurcations and instability for nonlinear problems in mechanics
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### References:

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