Series expansions of invariant manifolds

Timo Eirola

Helsinki University of Technology, FIN-02015 HUT, Finland

timo.eirola@hut.fi

http://www.math.hut.fi/~teirola/

Contributed talk

For smooth systems the invariant manifolds: stable/center/unstable, associated to equilibria and periodic solutions can locally be described as graphs of a smooth function. Taylor expansions of such are considered and different techniques for numerical computation of the coefficients are discussed.