Polynomial Vector Fields on the Clifford Torus
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Publication:5857908
DOI10.1142/S0218127421500577zbMath1465.34058arXiv1707.08859OpenAlexW3149162436MaRDI QIDQ5857908
Publication date: 8 April 2021
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.08859
Invariant manifolds for ordinary differential equations (34C45) Ordinary differential equations and systems on manifolds (34C40)
Cites Work
- Invariant parallels, invariant meridians and limit cycles of polynomial vector fields on some 2-dimensional algebraic tori in \(\mathbb R^3\)
- Submanifolds with parallel normalized mean curvature vector in a unit sphere
- Limit cycles, invariant meridians and parallels for polynomial vector fields on the torus
- Multiplicity of invariant algebraic curves in polynomial vector fields
- Invariant circles for homogeneous polynomial vector fields on the 2-dimensional sphere
- On the number of invariant straight lines for polynomial differential systems
- A new characterization of submanifolds with parallel mean curvature vector in \(S^{n+p}\)
- Minimal and pseudo-umbilical rotational surfaces in Euclidean space \(\mathbb E^4\)
- New characterizations of the Clifford torus as a Lagrangian self-shrinker
- Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity
- When Parallels and Meridians are Limit Cycles for Polynomial Vector Fields on Quadrics of Revolution in the Euclidean 3-Space
- On the invariant hyperplanes ford-dimensional polynomial vector fields
- Darboux integrability and invariant algebraic curves for planar polynomial systems
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