Algebraic first integrals of the polynomial systems satisfying the Cauchy-Riemann conditions
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Publication:2628051
DOI10.1007/s12346-015-0174-8zbMath1364.34037OpenAlexW2222850073MaRDI QIDQ2628051
Publication date: 9 June 2017
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-015-0174-8
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14)
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Cites Work
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- A survey on the inverse integrating factor
- Darboux integrability of planar polynomial systems
- Unbounded solutions of the polynomial Cauchy-Riemann systems
- Problems and theorems in analysis II. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Transl. from the German by C. E. Billigheimer.
- Isochronicity and commutation of polynomial vector fields
- Characterizing isochronous centres by Lie brackets
- Darboux integrability and the inverse integrating factor.
- Linearization of isochronous centers
- On the remarkable values of the rational first integrals of polynomial vector fields
- Quadratic and cubic complex systems satisfying the Cauchy-Riemann conditions
- Isochronous Centers in Planar Polynomial Systems
- regularity properties of the period function near a center of a planar vector field
- Invariant algebraic curves and conditions for a centre
- On the vanishing set of inverse integrating factors
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