4 papers
math.DS2025
The discontinuous planar piecewise linear system with two nodes has at most two limit cycles
Lu Chen, Changjian Liu
This paper investigates the multiplicity and the number of limit cycles for planar piecewise linear system divided into two regions by a straight line and each linear subsystem has…
math.DS2024
Sufficient conditions for the n-dimensional real Jacobian conjecture
Changjian Liu, Yuzhou Tian
The real Jacobian conjecture was posed by Randall in 1983. This conjecture asserts that if is a polynomial map…
math.DS2023
On the non-existence of isochronous centers in planar discontinuous differential systems
Ali Bakhshalizadeh, Changjian Liu, Alex C. Rezende
The determination of whether a center is isochronous or not is a well-known problem in the qualitative theory of planar systems. In this paper, we explore planar piecewise disconti…
math.CA2023
Maximum number of limit cycles for Abel equation having coefficients with linear trigonometric functions
Xiangqin Yu, Jianfeng Huang, Changjian Liu
This paper devotes to the study of the classical Abel equation , where and are trigonometric polynomials of degree . We are…