Bifurcations of Critical Periods for a Class of Quintic Liénard Equation
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Publication:5138328
DOI10.1142/S0218127420502016zbMath1465.34055OpenAlexW3110175929MaRDI QIDQ5138328
Publication date: 3 December 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420502016
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)
Cites Work
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- Conditions for polynomial Liénard centers
- Uniqueness of limit cycles for Liénard differential equations of degree four
- On the center of the Liénard equation
- Local bifurcations of critical periods for cubic Liénard equations with cubic damping
- Elimination methods
- Periodic solutions of Lienard's equation
- An algebraic approach to the classification of centers in polynomial Liénard systems
- On the classification of Liénard systems with amplitude-independent periods
- On periodic solutions of the system \(\dot x = y - F(x),\dot y = - g(x)\)
- Bifurcations of multiple relaxation oscillations in polynomial Liénard equations
- Dynamical analysis of a cubic Liénard system with global parameters
- Cubic Lienard equations with linear damping
- Sur un théorème de A. Filippoff
- CRITICAL PERIODS OF PLANAR REVERTIBLE VECTOR FIELD WITH THIRD-DEGREE POLYNOMIAL FUNCTIONS
- The Center and Cyclicity Problems
- On the existence of periodic solutions for Liénard's equation
- Bifurcation of Critical Periods for Plane Vector Fields
- Dynamics of the Van der Pol equation
- On the Center of the Generalized Liénard System
- CRITICAL PERIODS OF THIRD-ORDER PLANAR HAMILTONIAN SYSTEMS
- A Differential Equation
- On a Van Der Pol Equation with Odd Coefficients