LIMIT CYCLES FOR TWO CLASSES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH UNIFORM ISOCHRONOUS CENTERS
From MaRDI portal
Publication:5859401
DOI10.11948/2156-907X.20180189zbMath1458.34063MaRDI QIDQ5859401
Publication date: 16 April 2021
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)
Related Items (1)
Cites Work
- Limit cycles coming from some uniform isochronous centers
- The center-focus problem and small amplitude limit cycles in rigid systems
- Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers
- Limit cycles bifurcating from planar polynomial quasi-homogeneous centers
- On the 16th Hilbert problem for limit cycles on nonsingular algebraic curves
- Lower bounds for the Hilbert number of polynomial systems
- Perturbations of quadratic centers of genus one
- Mechanical manipulation for a class of differential systems
- Linear estimation of the number of zeros of abelian integral for some cubic isochronous centers
- Limit cycles for rigid cubic systems
- Phase portraits of uniform isochronous quartic centers
- On the 16th Hilbert problem for algebraic limit cycles
- Periodic solutions of nonlinear periodic differential systems with a small parameter
- Equivalence of the Melnikov function method and the averaging method
- Limit Cycles of Perturbed Cubic Isochronous Center via the Second Order Averaging Method
- Centennial History of Hilbert's 16th Problem
- Bifurcation of Limit Cycles from the Center of a Quintic System via the Averaging Method
- Bifurcation of Limit Cycles from a Quintic Center via the Second Order Averaging Method
- Averaging methods in nonlinear dynamical systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: LIMIT CYCLES FOR TWO CLASSES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH UNIFORM ISOCHRONOUS CENTERS