Box dimension of Neimark–Sacker bifurcation
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Publication:5168657
DOI10.1080/10236198.2014.884085zbMath1326.37015OpenAlexW2041306263MaRDI QIDQ5168657
Publication date: 18 July 2014
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2014.884085
box dimensionNeimark-Sacker bifurcationfractal analysisHopf-Takens bifurcationMinkowski non-degenerate
Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dimension theory of smooth dynamical systems (37C45)
Related Items (2)
Fractal analysis of planar nilpotent singularities and numerical applications ⋮ Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations
Cites Work
- Box dimension and bifurcations of one-dimensional discrete dynamical systems
- Oscillatory and phase dimensions of solutions of some second-order differential equations
- Bifurcations de points fixes elliptiques. I: Courbes invariantes
- Bifurcations de points fixes elliptiques. II: Orbites periodiques et ensembles de Cantor invariants. (Bifurcations of elliptic fixed points. II: Periodic orbits and invariant Cantor sets)
- Elements of applied bifurcation theory.
- Bifurcations and nondegenerated conditions of higher degree and a new simple proof of the Hopf-Neimark-Sacker bifurcation theorem
- Fractal analysis of spiral trajectories of some planar vector fields
- Box dimension of trajectories of some discrete dynamical systems
- Fractal analysis of spiral trajectories of some vector fields in \(\mathbb R^3\)
- Remarks on interacting Neimark–Sacker bifurcations
- A new approach to the perturbation theory of invariant surfaces
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