On periodic motions of lattices of Toda type via critical point theory (Q1337984)

The ordinary differential systems of Toda type are studied, in which the potential of the interaction between the \(n\)th and the \((n+1)\)st particle is superquadratic at \(-\infty\) and has weaker growth at \(+\infty\). Under fixed end points condition as well as the identified end points condition, the authors prove that there exist infinitely many \(T\)- periodic solutions for every \(T>0\). The global variational method and the relative \(S^ 1\)-index theory are used.