Proof of two conjectures for perturbed piecewise linear Hamiltonian systems
S Sui, Y Zhang, B Li - Nonlinear Analysis: Real World Applications, 2025 - Elsevier
In this paper, we study the number of limit cycles bifurcating from the centers of piecewise
linear Hamiltonian systems having either a homoclinic loop or a heteroclinic loop under the …
linear Hamiltonian systems having either a homoclinic loop or a heteroclinic loop under the …
Bounding the number of limit cycles for perturbed piecewise linear Hamiltonian system
S Sui, W Xu - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
In this paper, we investigate the number of limit cycles for piecewise linear Hamiltonian
system with a homoclinic loop under perturbations of piecewise smooth polynomials. By …
system with a homoclinic loop under perturbations of piecewise smooth polynomials. By …
Revisiting the number of zeros of Abelian integrals for perturbed pendulum equations
In this paper, we study the number of zeros of Abelian integrals associated to some
perturbed pendulum equations, and derive the new lower and upper bounds for the number …
perturbed pendulum equations, and derive the new lower and upper bounds for the number …
A new Chebyshev criterion and its application to planar differential systems
J Huang, H Liang, X Zhang - Journal of Differential Equations, 2023 - Elsevier
This paper establishes a new Chebyshev criterion for a certain family of integrals. By virtue
of this criterion we obtain several new Chebyshev families. With the help of these new …
of this criterion we obtain several new Chebyshev families. With the help of these new …
[PDF][PDF] The number of limit cycles from a quartic center by the higher-order Melnikov functions
X Liu - J. Appl. Anal. Comput, 2021 - jaac-online.com
THE NUMBER OF LIMIT CYCLES FROM A QUARTIC CENTER BY THE HIGHER-ORDER
MELNIKOV FUNCTIONS 1. Introduction Page 1 Journal of Applied Analysis and Computation …
MELNIKOV FUNCTIONS 1. Introduction Page 1 Journal of Applied Analysis and Computation …