Global pathfollowing of homoclinic orbits in two-parameter ows

@inproceedings{Mathematisches1996GlobalPO,
title={Global pathfollowing of homoclinic orbits in two-parameter ows},
author={Bernold Fiedler Mathematisches},
year={1996}
}

Bernold Fiedler Mathematisches

Published 1996

The main goal of this paper is a global continuation theorem for homoclinic solutions of autonomous ordinary di erential equations with two real parameters. In one-parameter ows, Hopf bifurcation serves as a starting point for global paths of periodic orbits. B-points, alias Arnol'd-Bogdanov-Takens points, play an analogous role for paths of homoclinic orbits in two-parameter ows. In fact, a path of homoclinic orbits emanating from a B-point can be continued in phase space until it terminatesâ€¦Â CONTINUE READING