## Multiple periodic solutions for two-dimensional lattice dynamic systems.(English)Zbl 1107.34036

The authors establish existence results for infinitely many periodic motions for a two-dimensional lattice of $$M\times N$$ particles with nearest-neighbor interaction.

### MSC:

 34C25 Periodic solutions to ordinary differential equations 34A35 Ordinary differential equations of infinite order 37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010)

### Keywords:

two-dimensional lattice
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### References:

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