Invariant algebraic curves for certain generalized Liénard differential system
From MaRDI portal
Publication:2699529
DOI10.3934/cpaa.2022159OpenAlexW4313378960MaRDI QIDQ2699529
Publication date: 19 April 2023
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2022159
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Dynamical aspects of holomorphic foliations and vector fields (37F75)
Uses Software
Cites Work
- Integrability of dynamical systems: algebra and analysis
- Weierstrass integrability in Liénard differential systems
- Weierstrass integrability of differential equations
- Invariant algebraic curves for Liénard dynamical systems revisited
- Center conditions for polynomial Liénard systems
- Novel algebraic aspects of Liouvillian integrability for two-dimensional polynomial dynamical systems
- Puiseux integrability of differential equations
- The method of Puiseux series and invariant algebraic curves
- Formal Weierstrass Nonintegrability Criterion for Some Classes of Polynomial Differential Systems in ℂ2
- Strongly formal Weierstrass non-integrability for polynomial differential systems in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">C</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:math>
- On the nonexistence of Liouvillian first integrals for generalized Liénard polynomial differential systems
- Liouvillian First Integrals for Generalized Liénard Polynomial Differential Systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Invariant algebraic curves for certain generalized Liénard differential system