2 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…