Center manifolds theorem for parameterized delay differential equations with applications to zero singularities |
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Authors: | Shangjiang Guo Juanjuan Man |
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Affiliation: | College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, People’s Republic of China |
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Abstract: | The goal of this paper is to develop a center manifold theory for delay differential equations with parameters. As applications, we use the center manifold theorem to establish fold and Bogdanov-Takens bifurcations. In particular, we obtain the versal unfoldings of delayed predator-prey systems with predator harvesting at the Bogdanov-Takens singularity. |
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Keywords: | 34K18 34G20 92D25 |
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