Work

On the Number of Limit Cycles in Two Classes of Polynomial Differential Systems

Year: 2025

Type: article

Abstract: This paper deals with two classes of polynomial differential systems that are generalized rigid systems, i.e. differential systems whose orbits rotate with a constant angular velocity. We give bounds for the maximum number of limit cycles of such polynomial differential systems provided by the averaging theory of first-order.

Source: International Journal of Bifurcation and Chaos

DOI: 10.1142/s0218127425500701

Authors: Yu Bao, Shimin Li, Jaume Llibre, Yulin Zhao

Institutions: Sun Yat-sen University, Hangzhou Normal University, Universitat Autònoma de Barcelona

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Agencia Nacional de Investigación y Desarrollo, Agència de Gestió d'Ajuts Universitaris i de Recerca, Basic and Applied Basic Research Foundation of Guangdong Province

Awards: G1694479832, G2335697406, G2391038068, G2749646526, G4529452710