2 papers
math.DS2019
The parameterization method for center manifolds
Jan Bouwe van den Berg, Wouter Hetebrij, Bob Rink
In this paper, we present a generalization of the parameterization method, introduced by Cabré, Fontich and De la Llave, to center manifolds associated to non-hyperbolic fixed poin…
math.DS2019
Validated computations for connecting orbits in polynomial vector fields
Jan Bouwe van den Berg, Ray Sheombarsing
In this paper we present a computer-assisted procedure for proving the existence of transverse heteroclinic orbits connecting hyperbolic equilibria of polynomial vector fields. The…