Analytic partial-integrability of a symmetric Hopf-zero degeneracy
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Publication:6111244
DOI10.1017/prm.2022.19zbMath1527.34004OpenAlexW4223567173MaRDI QIDQ6111244
Antonio Algaba, Cristóbal García, Manuel Reyes
Publication date: 6 July 2023
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2022.19
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)
Cites Work
- Unnamed Item
- Integrability of vector fields versus inverse Jacobian multipliers and normalizers
- Existence of inverse Jacobi multipliers around Hopf points in \(\mathbb R^3\): emphasis on the center problem
- Some remarks on inverse Jacobi multipliers around Hopf singularities
- Integrability of two dimensional quasi-homogeneous polynomial differential systems
- Existence of inverse integrating factors and Lie symmetries for degenerate planar centers
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Local first integrals of differential systems and diffeomorphisms
- Unique normal forms for Hopf-zero vector fields.
- Local integrability of Poincaré-Dulac normal forms
- Analytical integrability problem for perturbations of cubic Kolmogorov systems
- Analytical integrability of perturbations of quadratic systems
- On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier
- Quasi-homogeneous linearization of degenerate vector fields
- Multiple Hopf bifurcation in \(\mathbb R^3\) and inverse Jacobi multipliers
- Inverse Jacobi multipliers and first integrals for nonautonomous differential systems
- Analytic normalization of analytically integrable differential systems near a periodic orbit
- Inverse Jacobi multipliers
- Unique orbital normal forms for vector fields of Hopf-zero singularity
- Holonomie et intégrales premières
- Integrable zero-Hopf singularities and three-dimensional centres
- Hypernormal Form for the Hopf-Zero Bifurcation
- Normal forms of Hopf-zero singularity
- Planar analytic vector fields with generalized rational first integrals
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