20 citations · 21 across the 8 of their papers we have counts for
4 papers · 1 filter
Bifurcation of limit cycles of the nongeneric quadratic reversible system with discontinuous perturbations
Jihua Yang
By using the Picard-Fuchs equation and the property of Chebyshev space to the discontinuous differential system, we obtain an upper bound of the number of limit cycles for the nong…
Bifurcation of limit cycles from a quadratic global center with two switching lines
Jihua Yang
In this paper, we generalize the Picard-Fuchs equation method to study the bifurcation of limit cycles of perturbed differential systems with two switching lines. We obtain the det…
Limit cycles appearing from perturbations of cubic piecewise smooth center with double invariant real straight lines
Jihua Yang, Liqin Zhao
This paper investigates the exact number of limit cycles given by the averaging theory of first order for the piecewise smooth integrable non-Hamiltonian system \begin{eqnarray*} (…
On the number of limit cycles for generic Lotka-Volterra system and Bogdanov-Takens system under perturbations of piecewise smooth polynomials
Shiyou Sui, Jihua Yang, Liqin Zhao
In this paper, we consider the bifurcation of limit cycles for generic L-V system () and B-T system ($\dot{x}=y,~\dot{y}=-…