Numerical Bifurcation Analysis of Homoclinic Orbits Embedded in One-Dimensional Manifolds of Maps
Numerical Bifurcation Analysis of Homoclinic Orbits Embedded in One-Dimensional Manifolds of Maps
N. Neirynck,W. Govaerts,Y. Kuznetsov,H. Meijer
2018 · DOI: 10.1145/3134443
ACM Transactions on Mathematical Software · 16 Citations
TLDR
An algorithm for initializing connecting orbits in the important special case where either the stable or unstable manifold is one-dimensional, allowing us to compute all homoclinic orbits to saddle points in 3D maps.