Highly Influenced

# Computing Geodesic Level Sets on Global (Un)stable Manifolds of Vector Fields

@article{Krauskopf2003ComputingGL, title={Computing Geodesic Level Sets on Global (Un)stable Manifolds of Vector Fields}, author={Bernd Krauskopf and Hinke M. Osinga}, journal={SIAM J. Applied Dynamical Systems}, year={2003}, volume={2}, pages={546-569} }

- Published in SIAM J. Applied Dynamical Systems 2003
DOI:10.1137/030600180

Many applications give rise to dynamical systems in the form of a vector field with a phase space of moderate dimension. Examples are the Lorenz equations, mechanical and other oscillators, and models of spiking neurons. The key to understanding the global dynamics of such a system are the stable and unstable manifolds of the saddle points, of the saddle periodic orbits and, more generally, of all invariant manifolds of saddle-type. Except in very special circumstances the (un)stable manifolds… CONTINUE READING