Abstract:
We consider a singularly perturbed system of ordinary differential equations with a small parameter, in which different-scale variables are involved. The necessary information about the method of integral manifolds is presented, such as slow surface (ε = 0), sheets of slow surfaces, integral manifold (ε /= 0), its sheets, and asymptotic expansion of a slow integral manifold in powers of ε. As an example, a qualitative analysis of one singularly perturbed system with a small parameter is carried out in the work.
Keywords:singularly perturbed system, integral manifold, slow surface sheet, small parameter
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