Maximum number of limit cycles for generalized Liénard polynomial differential systems
DOI10.21136/MB.2020.0134-18zbMath1499.34225OpenAlexW3030358792MaRDI QIDQ4994535
Sabah Benadouane, Ahmed Bendjeddou, Aziza Berbache
Publication date: 18 June 2021
Published in: Mathematica Bohemica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21136/mb.2020.0134-18
Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
Cites Work
- Unnamed Item
- Unnamed Item
- Limit cycles of generalized Liénard polynomial differential systems via averaging theory
- Normal forms, Melnikov functions and bifurcations of limit cycles
- Averaging methods for finding periodic orbits via Brouwer degree.
- Limit cycles for a generalization of polynomial Liénard differential systems
- Sufficient conditions for the existence of at least \(n\) or exactly \(n\) limit cycles for the Liénard differential systems
- Limit cycles of a class of generalized Liénard polynomial equations
- ON THE MAXIMUM NUMBER OF LIMIT CYCLES OF A CLASS OF GENERALIZED LIÉNARD DIFFERENTIAL SYSTEMS
- ON THE NUMBER OF LIMIT CYCLES FOR A GENERALIZATION OF LIÉNARD POLYNOMIAL DIFFERENTIAL SYSTEMS
- The number of small-amplitude limit cycles of Liénard equations
- Limit cycles of the generalized polynomial Liénard differential equations
- Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- On the number of limit cycles of a class of polynomial differential systems
This page was built for publication: Maximum number of limit cycles for generalized Liénard polynomial differential systems
