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Issue 3
Jul.  2013
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LU Hai-bo, NI Ming-kang, WU Li-meng. Geometric singular perturbation approach to singular singularly perturbed systems[J]. Journal of East China Normal University (Natural Sciences), 2013, (3): 140-148.
Citation: LU Hai-bo, NI Ming-kang, WU Li-meng. Geometric singular perturbation approach to singular singularly perturbed systems[J]. Journal of East China Normal University (Natural Sciences), 2013, (3): 140-148.

Geometric singular perturbation approach to singular singularly perturbed systems

  • Received Date: 2012-06-01
  • Rev Recd Date: 2012-09-01
  • Publish Date: 2013-05-25
  • Singularly perturbed systems for which the reduced system has a manifold of solutions are called singular singularly perturbed. Boundary value problems for such systems were examined by geometric singular perturbation approach in this paper. Assumptions were derived which ensure the existence of a locally unique solution which is near a singular orbit of the dynamics of limiting fast and slow systems.
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