Standard Chase on Black Swans and Canards
- Shchepakina, Elena A.
- Sobolev, Vladimir A.
2010 Mathematics Subject Classification
- 34C34 34E15 34D15
- Integral manifolds, duck-trajectories, singularly perturbed systems
The paper is devoted to the study of the relationship between integral manifolds of ordinary differential equations and duck-trajectories. We derive sufficient conditions for the existence of continuous slow integral surfaces that are devided into stable and unstable parts and propose a method of construction of surfaces consisting of duck-trajectories.