Periodic solutions of fixed energy for some second order Hamiltonian systems
The authors prove some sufficient conditions for the existence of periodic solutions of the autonomous Hamiltonian system \(\ddot u+\text{grad}_ u V(u)=0\), \(| \dot u(t)|^ 2/2+V(u(t))=h\); \(V\in C^ 2(\Omega,R^ 1)\), \(\Omega\subset R^ n\), \(h=\text{const}\).
scientific article; zbMATH DE number 148459