Seeking Darboux polynomials
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Publication:499743
DOI10.1007/s10440-014-9974-0zbMath1365.34060OpenAlexW2080367663MaRDI QIDQ499743
Armengol Gasull, Antoni Ferragut
Publication date: 6 October 2015
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: http://ddd.uab.cat/record/145343
birational mapcofactorDarboux polynomialplanar polynomial differential systemnon-algebraic limit cycle
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14)
Related Items (10)
Invariant algebraic surfaces and impasses ⋮ Synthesizing invariant barrier certificates via difference-of-convex programming ⋮ Darboux polynomials and global phase portraits for the \(D_{2}\) vector field ⋮ On the complete integrability of the Raychaudhuri differential system in \(\mathbb {R}^4\) and of a CRNT model in \(\mathbb {R}^5\) ⋮ On the polynomial integrability of the critical systems for optimal eigenvalue gaps ⋮ An efficient method for computing Liouvillian first integrals of planar polynomial vector fields ⋮ On the Liouville integrability of Edelstein's reaction system in \(\mathbb R^3\) ⋮ Computation of invariant curves and identifying the type of critical point ⋮ Bounding the number of remarkable values via Jouanolou's theorem ⋮ Encoding inductive invariants as barrier certificates: synthesis via difference-of-convex programming
Cites Work
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- Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations
- On dynamics analysis of a new chaotic attractor
- Invariant algebraic surfaces for generalized Raychaudhuri equations
- Explicit non-algebraic limit cycles for polynomial systems
- Explicit solutions of Fisher's equation for a special wave speed
- Equations de Pfaff algébriques
- The limit cycle of the van der Pol equation is not algebraic
- Quasi-homogeneous blowing-ups
- Darboux integrability of the Lü system
- Necessary conditions for the existence of invariant algebraic curves for planar polynomial systems
- Darboux theory of integrability in the sparse case
- Transcendental limit cycles via the structure of arbitrary degree invariant algebraic curves of polynomial planar vector fields
- Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces
- Sopra l'equazione di A. Lienard delle oscillazioni di rilassamento
- Limit-cycles and rotated vector fields
- On the uniqueness of limit cycles for Li\'enard equation: the legacy of G. Sansone
- DARBOUX POLYNOMIALS AND ALGEBRAIC INTEGRABILITY OF THE CHEN SYSTEM
- Linear recurrences in the degree sequences of monomial mappings
- YET ANOTHER CHAOTIC ATTRACTOR
- Deterministic Nonperiodic Flow
- A NEW CHAOTIC ATTRACTOR COINED
- Invariant algebraic surfaces of the Lorenz system
- A SURVEY ON THE BLOW UP TECHNIQUE
- Explicit travelling waves and invariant algebraic curves
- Degree-growth of monomial maps
- Reduction of Singularities of the Differential Equation Ady = Bdx
- Global Families of Limit Cycles of Planar Analytic Systems
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