A general reduction method for periodic solutions in conservative and reversible systems
The authors introduce a general method for the study of periodic solutions near equilibria in autonomous systems which are either conservative or reversible. They apply the method of combining normal forms and Lyapunov-Schmidt, which is already introduced for Hamiltonian systems in [the second author and \textit{J.-C. van der Meer}, ``A general reduction method for periodic solutions near equilibria in Hamiltonian systems'', to appear in Normal Forms and Homoclinic Chaos] and for equivariant systems in [the first author, ``Reduction of Hopf bifurcation problem with symmetries'', to appear in Bull. Belg. Math. Soc.] and extends the results of these papers to the cases of conservative and reversible systems.
scientific article; zbMATH DE number 895795