| The hard perturbations in this study caused the trajectory to move in a direction that was normal to the limit cycle. |
| Given a closed Riemannian manifold M, we construct a suitable class of perturbations to achieve Morse-Smale transversality for the heat equation. |
| He also studied magnetic induction and the three body problem where he applied his work to the perturbations of Jupiter and Saturn. |
| Typically, the designer adds more lens elements or applies small perturbations to spherical shapes using aspheric surfaces. |
| These presumably cometary bodies, which reach several hundred kilometers in size, are vulnerable to severe perturbations by these planets. |
| The next step in animal locomotion is to subject animals to perturbations and reveal the function of all their parts. |
