WIAS Preprint No. 426, (1998)

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.

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