Work

A family of planar differential systems with hyperbolic algebraic limit cycles

Year: 2025

Type: article

Abstract: In this paper, we characterize a family of planar polynomial differential systems of degree greater or equal than n + 1 , by presenting polynomial curves of degree n , which generally contain closed components. These systems admit precisely the bounded components of the curve as hyperbolic limit cycles.

Source: Electronic journal of qualitative theory of differential equations

DOI: 10.14232/ejqtde.2025.1.28

Authors: Maroua Ghelmi, Aziza Berbache

Institution: University Mohamed El Bachir El Ibrahimi of Bordj Bou Arreridj

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412454627

FWCI:

Cites: 7

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Related to: 10