ISSN:
1573-269X
Keywords:
bifurcations
;
cuspidal loop
;
numerical continuation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper we develop numerical algorithms for thecontinuation of degenerate homoclinic orbits to non-hyperbolicequilibria in planar systems. The first situation corresponds to asaddle-node equilibrium (a zero eigenvalue) and the second one is theso-called cuspidal loop (double-zero eigenvalue). The methods proposedmay deal with codimension-two and -three homoclinic connections.Application of the algorithms to several examples supports its validityand demonstrates its usefulness.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008367531379