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Slow Integral Manifolds

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Singular Perturbations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2114))

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Abstract

In the present chapter we use a method for the qualitative asymptotic analysis of singularly perturbed differential equations by reducing the order of the differential system under consideration. The method relies on the theory of integral manifolds. It essentially replaces the original system by another system on an integral manifold with a lower dimension that is equal to that of the slow subsystem. The emphasis in this chapter is on the study of autonomous systems.

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Authors and Affiliations

  1. Samara State Aerospace University, Samara, Russia

    Elena Shchepakina & Vladimir Sobolev

  2. University College Cork, Cork, Ireland

    Michael P. Mortell

Authors
  1. Elena Shchepakina
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  2. Vladimir Sobolev
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  3. Michael P. Mortell
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Shchepakina, E., Sobolev, V., Mortell, M.P. (2014). Slow Integral Manifolds. In: Singular Perturbations. Lecture Notes in Mathematics, vol 2114. Springer, Cham. https://doi.org/10.1007/978-3-319-09570-7_2

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