Integrability properties of generalized Liénard differential equations
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Publication:6660903
DOI10.1007/s12346-024-01184-9MaRDI QIDQ6660903
Maria V. Demina, Varvara G. Nechitailo
Publication date: 10 January 2025
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Cites Work
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- On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory
- Integrability of dynamical systems: algebra and analysis
- A class of exact solutions of the Liénard-type ordinary nonlinear differential equation
- Linearization of second-order ordinary differential equations by generalized Sundman transformations
- On general algebraic mechanisms for producing centers in polynomial differential systems
- On a model equation of traveling and stationary compactons
- Center problem for several differential equations via Cherkas' method
- On the period function of \(x^{\prime\prime}+f(x)x^{\prime2}+g(x)=0\)
- Mémoire sur les invariants de certaines équations différentielles et sur leurs applications.
- Novel algebraic aspects of Liouvillian integrability for two-dimensional polynomial dynamical systems
- Algebraic and qualitative remarks about the family \(yy' = (\alpha x^{m+k-1} + \beta x^{m-k-1})y + \gamma x^{2m-2k-1}\)
- Puiseux integrability of differential equations
- Classifying algebraic invariants and algebraically invariant solutions
- On linearizability via nonlocal transformations and first integrals for second-order ordinary differential equations
- Nonlocal deformations of autonomous invariant curves for Liénard equations with quadratic damping
- Liouvillian integrability of the generalized Duffing oscillators
- Nonlocal transformations and linearization of second-order ordinary differential equations
- Invariants of a family of scalar second-order ordinary differential equations for Lie symmetries and first integrals
- Liouvillian First Integrals of Differential Equations
- The Method of an Exact Linearization of n-order Ordinary Differential Equations
- Invariant surfaces and Darboux integrability for non-autonomous dynamical systems in the plane
- Asymptotic behaviour and expansions of solutions of an ordinary differential equation
- Geometry, integrability and bifurcation diagrams of a family of quadratic differential systems as application of the Darboux theory of integrability
- Necessary and sufficient conditions for the existence of invariant algebraic curves
- The method of Puiseux series and invariant algebraic curves
- On certain new integrable second order nonlinear differential equations and their connection with two dimensional Lotka–Volterra system
- Linearizability conditions for Lotka–Volterra planar complex cubic systems
- The Liouvillian Integrability of Several Oscillators
- Liouvillian First Integrals for Generalized Liénard Polynomial Differential Systems
- Sundman transformation and alternative tangent structures
- Sull' integrazione dell'equazione differenziale \[ y'+Py^2+Qy^3 = 0. \]
- Integrability and solvability of polynomial Liénard differential systems
- Exact solutions to a family of position‐dependent mass damped oscillators from variational λ‐symmetries
- The Darboux polynomials and integrability of polynomial Levinson-Smith differential equations
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