The influence of the integral manifold shape on the onset of relaxation oscillations |
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Authors: | L. I. Kononenko |
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Affiliation: | (1) Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia |
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Abstract: | The relaxation oscillations are studied of a singularly perturbed system of ordinary differential equations with m slow and n fast variables (m × n) in the two cases: (1) m = n = 1 (1 × 1) and (2) m = 2, n = 1 (2 × 1). As sufficient conditions for the existence of relaxation oscillations there some general class is described of the functions determining the slow manifold for this system. |
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