Box dimension of spiral trajectories of some vector fields in \(\mathbb R^3\)
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Publication:2468835
DOI10.1007/BF02972676zbMath1220.37034MaRDI QIDQ2468835
Vesna Županović, Darko Žubrinić
Publication date: 11 February 2008
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dimension theory of smooth dynamical systems (37C45)
Related Items (6)
Generalized Fresnel integrals and fractal properties of related spirals ⋮ The fractal structure of elliptical polynomial spirals ⋮ FRACTAL ANALYSIS OF HOPF BIFURCATION AT INFINITY ⋮ BOX DIMENSION AND MINKOWSKI CONTENT OF THE CLOTHOID ⋮ The geometrical demonstration of the order of resonant saddle points in \(\mathbb{C}^2\) ⋮ On Hölder solutions to the spiral winding problem
Cites Work
- Analysis of Minkowski contents of fractal sets and applications
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Singular sets of Sobolev functions
- Singular sets of Lebesgue integrable functions
- Maximally singular Sobolev functions
- Minkowski-Bouligand dimension of solutions of the one-dimensional \(p\)-Laplacian.
- Hopf-Takens bifurcations and centres
- Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations
- Fractal analysis of spiral trajectories of some planar vector fields
- Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations
- Fractal analysis of spiral trajectories of some vector fields in \(\mathbb R^3\)
- Dimensions des spirales
- Generalized Minkowski content, spectrum of fractal drums, fractal strings and the Riemann zeta-function
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