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Abstract:
In [Chen et al., 2020], the third author and other coauthors studied global dynamics of the following system: 'Equation Presented' in the parameter region {(b1,b2,b3,b4) ∈ 4: b2 0,b4 ≠ 0} in this paper. Firstly, we study the local dynamics, such as the bifurcations of equilibria (including the equilibrium at infinity). Secondly, the number and stability of limit cycles are studied completely. Then, we analyze the existence of upper and lower saddle connections and homoclinic loops. Moreover, we show that there are no heteroclinic loops in this parameter region. Finally, we give the bifurcation diagram and all global phase portraits on the Poincaré disc are given as well as some numerical examples. © 2021 World Scientific Publishing Company.
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International Journal of Bifurcation and Chaos
ISSN: 0218-1274
Year: 2021
Issue: 2
Volume: 31
2 . 4 5
JCR@2021
1 . 9 0 0
JCR@2023
ESI HC Threshold:36
JCR Journal Grade:2
CAS Journal Grade:3
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