This paper first summarizes the theory of quasi-periodic bifurcations for dissipative dynamical systems. Then it presents algorithms for the computation and continuation of invariant circles and of… Expand

A specific singularity of a vector field on R 3 is considered, of codimension 2 in the dissipative case and of codimension 1 in the conservative case. In both contexts in generic unfoldings the… Expand

One of the central topics in the qualitative theory of differential equations is the study of invariant submanifolds. A number of general theorems establishing the existence and/or persistence and… Expand

We study a generic, real analytic unfolding of a planar diffeomorphism having a fixed point with unipotent linear part. In the analogue for vector fields an open parameter-domain is known to exist,… Expand