Invariant manifolds and control of hyperbolic trajectories on infinite- or finite-time intervals

  title={Invariant manifolds and control of hyperbolic trajectories on infinite- or finite-time intervals},
  author={Kazuyuki Yagasaki},
  journal={Dynamical Systems},
  pages={309 - 331}
  • K. Yagasaki
  • Published 1 September 2008
  • Mathematics
  • Dynamical Systems
We consider general non-autonomous systems on infinite- and finite-time intervals and describe some properties of hyperbolic trajectories and their stable and unstable manifolds. Our definitions of hyperbolic trajectories and their stable and unstable manifolds on finite-time intervals are different from one adopted in the previous references, but still possess a desirable property as the previous one. Furthermore, we present numerical methods based on these theoretical results to compute the… 
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