Small limit cycles bifurcating in pendulum systems under trigonometric perturbations
type: Item
instance of: scholarly article
title: Small limit cycles bifurcating in pendulum systems under trigonometric perturbations
author: Yun Tian
author: Tingting Jing
author: Zhe Zhang
published in: Journal of Differential Equations
publication date: 2024-09-26T00:00:00Z
Mathematics Subject Classification ID: 34Cxx
Mathematics Subject Classification ID: 37Gxx
Mathematics Subject Classification ID: 37Jxx
zbMATH DE Number: 7919103
zbMATH Keywords: limit cycles
zbMATH Keywords: perturbed pendulum system
zbMATH Keywords: Melnikov function
MaRDI profile type: Publication
cites work: On the number of limit cycles of some systems on the cylinder
cites work: Global dynamics of the Josephson equation in \(TS^1\)
cites work: On the number of limit cycles for perturbed pendulum equations
cites work: Dulac-Cherkas test for determining the exact number of limit cycles of autonomous systems on the cylinder
cites work: Bifurcations of invariant tori and subharmonic solutions for periodic perturbed systems
cites work: Existence and uniqueness of the periodic orbits of a class of cylinder equations
cites work: Q4714159
cites work: Limit cycles in the equation of whirling pendulum with autonomous perturbation.
cites work: BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
cites work: Q5703734
cites work: Limit cycles and chaos in equations of the pendulum type
cites work: Limit Cycles in the Josephson Equation
cites work: Homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder
cites work: On the number of limit cycles of a pendulum-like equation with two switching lines
DOI: 10.1016/J.JDE.2024.07.029
description: scientific article; zbMATH DE number 7919103