The generalized polynomial Moon-Rand system
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Publication:1681027
DOI10.1016/j.nonrwa.2017.07.006zbMath1398.34046OpenAlexW2742243433MaRDI QIDQ1681027
Publication date: 17 November 2017
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.07.006
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Invariant manifolds for ordinary differential equations (34C45)
Related Items (4)
Small-amplitude limit cycles of certain planar differential systems ⋮ Rigid centres on the center manifold of tridimensional differential systems ⋮ Differential Galois integrability obstructions for nonlinear three-dimensional differential systems ⋮ Integrability and bifurcation of a three-dimensional circuit differential system
Cites Work
- The center problem on a center manifold in \(\mathbb{R}^{3}\)
- Center problem in the center manifold for quadratic differential systems in \(\mathbb{R}^3\)
- Center problem in the center manifold for quadratic and cubic differential systems in \(\mathbb{R}^3\)
- Center problem for systems with two monomial nonlinearities
- An algebraic approach to the classification of centers in polynomial Liénard systems
- Stability and periodic oscillations in the Moon-Rand systems
- On some open problems in planar differential systems and Hilbert's 16th problem
- Centers for the Kukles homogeneous systems with odd degree
- Elements of applied bifurcation theory
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