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}
}
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

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