School of Mathematical Science
University of Science and Technology of China
Hefei, Anhui 230026, China
email: niulin@mail.ustc.edu.cn
Lin Niu
Abstract:
A dynamical system is called eventually competitive if it preserves a partial
order in backward time only after some reasonable initial transient.
We show that both regular and singular perturbations of a competitive
irreducible vector field are at most eventually competitive rather
than competitive.
Submitted September 19, 2019. Published November 18, 2019.
Math Subject Classifications: 34C12, 37C65.
Key Words: Eventually cooperative systems; eventually competitive systems;
regular perturbation; geometric singular perturbation; omega-limit sets.
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Lin Niu School of Mathematical Science University of Science and Technology of China Hefei, Anhui 230026, China email: niulin@mail.ustc.edu.cn |
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