Stability of a saddle node bifurcation under numerical approximations |
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Authors: | Ming-Chia Li |
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Affiliation: | Department of Mathematics, National Changhua University of Education Changhua 500, Taiwan |
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Abstract: | In this paper, we show that the solution flows generated by a one-parameter family of ordinary differential equations are stable under their numerical approximations in a vicinity of a saddle node. Our result sharpens the one in 1] and the proof is adapted from the method of Sotomayor in 2. and 3.]. |
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Keywords: | Stability Bifurcation Saddle node Numerical approximation |
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