Periodic Orbit Continuation in Multiple Time Scale Systems

@inproceedings{Guckenheimer2006PeriodicOC,
  title={Periodic Orbit Continuation in Multiple Time Scale Systems},
  author={John Guckenheimer and Michael Drew Lamar},
  year={2006}
}
Continuation methods utilizing boundary value solvers are an effective tool for computing unstable periodic orbits of dynamical systems. Auto [1] is the standard implementation of these procedures. Unfortunately, the collocation methods used in Auto often require very fine meshes for convergence on problems with multiple time scales. This inconvenience… CONTINUE READING