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On the number of limit cycles for Bogdanov-Takens system under perturbations of piecewise smooth polynomials
Jiaxin Wang, Liqin Zhao
In this paper, we study the bifurcate of limit cycles for Bogdanov-Takens system(, ) under perturbations of piecewise smooth polynomials of degree …
On the number of limit cycles bifurcating from the linear center with an algebraic switching curve
Jiaxin Wang, Jinping Zhou, Liqin Zhao
This paper studies the family of piecewise linear differential systems in the plane with two pieces separated by a switching curve , where is an arbitrary positive.…
On the number of limit cycles bifurcating from the linear center with an algebraic switching curve
Jiaxin Wang, Jinping Zhou, Liqin Zhao
This paper studies the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. By analyzing the obtained first order Melnikov funct…
On the number of limit cycles for polycycles and in quadratic Hamilton systems under perturbations of piecewise smooth polynomials
Jiaxin Wang, Liqin Zhao
In this paper, by using Picard-Fuchs equations and Chebyshev criterion, we study the bifurcate of limit cycles for quadratic Hamilton system and : $\dot{x}= y+2a…