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This site is devoted to the presentation of the dynamics of discrete
breathes (DB)  spatial localized and timeperiodic object. They exist in
different systems and were observed numerically and experimentally.
If you are not familiar with such objects, it is better to read some papers
before [1,2,3].
The system under consideration is 1D Hamiltonian lattice



(1) 
where onsite potential is



(2) 
and coupling potential



(3) 
The equations of the motion are



(4) 
The spectrum of the small amplitude excitations is



(5) 
Andrey Miroshnchenko
20030115