Bifurcations of subharmonic solutions in reversible systems
Reversible is the equation \(\dot x=f(t,x,\lambda)\) if there is such a symmetric operator S on \(R^ n\) that \(S^ 2=I\) and \(Sf(-t,Sx,\lambda)=- f(t,x,\lambda).\) Under certain hypothesis the number of subharmonic solutions of period \(2\pi\) q, \(q\geq 3\) for \(\lambda\neq 0\) near 0, bifurcating from the trivial solution is given.
scientific article; zbMATH DE number 4086109