S1 attractor bifurcation analysis for a three-species cooperating model

In this paper, the dynamic bifurcation of the three-species cooperating model is considered. It worth noting that the main theory of this paper is the Center manifold reduction and attractor bifurcation theory, which is developed by Ma [1,2]. The main work of this paper shows that if the algebraic m...

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Vydáno v:Journal of physics. Conference series Ročník 2282; číslo 1; s. 012014 - 12020
Hlavní autoři: Li, Junyan, Wu, Ruili
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bristol IOP Publishing 01.06.2022
Témata:
Bifurcation theory
Eigenvalues
Physics
ISSN:1742-6588, 1742-6596
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Abstract In this paper, the dynamic bifurcation of the three-species cooperating model is considered. It worth noting that the main theory of this paper is the Center manifold reduction and attractor bifurcation theory, which is developed by Ma [1,2]. The main work of this paper shows that if the algebraic multiplicity of the first eigenvalue is 2, there exists an S1 attractor bifurcation, and the number of its singular points can only be eight. Besides, we show that the simplified governing equations bifurcate to an S1 attractor, when the Control parameter λ crosses a critical value λ0.
AbstractList In this paper, the dynamic bifurcation of the three-species cooperating model is considered. It worth noting that the main theory of this paper is the Center manifold reduction and attractor bifurcation theory, which is developed by Ma [1,2]. The main work of this paper shows that if the algebraic multiplicity of the first eigenvalue is 2, there exists an S1 attractor bifurcation, and the number of its singular points can only be eight. Besides, we show that the simplified governing equations bifurcate to an S1 attractor, when the Control parameter λ crosses a critical value λ0.
Author Li, Junyan
Wu, Ruili
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  organization: Department of Mathematics, Chengdu Jincheng College , China
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  surname: Wu
  fullname: Wu, Ruili
  organization: Department of Mathematics, Chengdu Jincheng College , China
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Snippet In this paper, the dynamic bifurcation of the three-species cooperating model is considered. It worth noting that the main theory of this paper is the Center...
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SubjectTerms Bifurcation theory
Eigenvalues
Physics
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Title S1 attractor bifurcation analysis for a three-species cooperating model
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