Center problem in the center manifold for quadratic differential systems in \(\mathbb{R}^3\)
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Publication:491270
DOI10.1016/j.jsc.2015.04.001zbMath1333.34043OpenAlexW2211575576MaRDI QIDQ491270
Publication date: 24 August 2015
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jsc.2015.04.001
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) Invariant manifolds for ordinary differential equations (34C45) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)
Related Items
Rigid centres on the center manifold of tridimensional differential systems, The generalized polynomial Moon-Rand system, Lower bounds for the cyclicity of centers of quadratic three-dimensional systems, Bifurcation of limit cycles and isochronous centers on center manifolds for a class of cubic Kolmogorov systems in \(\mathbb{R}^3\), Nine limit cycles around a weak focus in a class of three-dimensional cubic Kukles systems, A hybrid symbolic-numerical approach to the center-focus problem, Cyclicity of polynomial nondegenerate centers on center manifolds, Integrability and bifurcation of a three-dimensional circuit differential system
Uses Software
Cites Work
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- The center problem on a center manifold in \(\mathbb{R}^{3}\)
- Isochronicity and normal forms of polynomial systems of ODEs
- Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree
- An approach to solving systems of polynomials via modular arithmetics with applications
- Degenerate Hopf bifurcations in the Lü system
- Centers on center manifolds in the Lü system
- Center problem in the center manifold for quadratic and cubic differential systems in \(\mathbb{R}^3\)
- Gröbner bases and primary decomposition of polynomial ideals
- Applications of centre manifold theory
- Local theory of nonlinear analytic ordinary differential equations
- Stability and periodic oscillations in the Moon-Rand systems
- On a codimension-three bifurcation arising in a simple dynamo model
- On some open problems in planar differential systems and Hilbert's 16th problem
- The nondegenerate center problem and the inverse integrating factor
- CENTER PROBLEM FOR THIRD-ORDER ODEs
- A study of two novel self-exciting single-disk homopolar dynamos: theory
- The Center and Cyclicity Problems
- P-adic reconstruction of rational numbers
