Andre Vanderbauwhede

Continuation and bifurcation of periodic orbits in Hamiltonian and reversible systems

Lecture 1 Continuation and Bifurcation of Periodic Orbits in Hamiltonian and Reversible Systems ( pdf )

Reference(s) : Continuation of periodic orbits in conservative and Hamiltonian Systems ;

Computation of periodic solutions of conservative systems with application to the 3-body problem

Lecture 2 Continuation of Doubly Symmetric Solutions in Reversible Systems ( pdf )

Reference(s) : Continuation of normal doubly symmetric orbits in conservative reversible systems

Lecture 3 Degenerate Subharmonic Branching in Reversible Systems ( pdf )

Reference(s) : Bifurcation of periodic points in reversible diffeomorphisms