Oscillatory and phase dimensions of solutions of some second-order differential equations
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Publication:1046488
DOI10.1016/j.bulsci.2008.03.004zbMath1198.34052OpenAlexW2039766745MaRDI QIDQ1046488
Vesna Županović, Darko Žubrinić, Mervan Pašić
Publication date: 22 December 2009
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2008.03.004
nonlinear oscillationsbox dimensionLiénard equationnonlinear differential equationchirpspiralweakly damped oscillator
Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)
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Cites Work
- Rectifiable oscillations in second-order half-linear differential equations
- Analysis of Minkowski contents of fractal sets and applications
- The period function of classical Liénard equations
- Rectifiable oscillations in second-order linear differential equations
- Bifurcation of planar vector fields and Hilbert's sixteenth problem
- Minkowski-Bouligand dimension of solutions of the one-dimensional \(p\)-Laplacian.
- Fractal analysis of spiral trajectories of some planar vector fields
- Generalized Liénard equations, cyclicity and Hopf-Takens bifurcations
- Box dimension of trajectories of some discrete dynamical systems
- Fractal oscillations for a class of second order linear differential equations of Euler type
- Qualitative theory of planar differential systems
- Fractal analysis of spiral trajectories of some vector fields in \(\mathbb R^3\)
- Poincaré map in fractal analysis of spiral trajectories of planar vector fields
- Rectifiable and unrectifiable oscillations for a class of second-order linear differential equations of Euler type
- More limit cycles than expected in Liénard equations
- On rectifiable oscillation of Euler type second order linear differential equations
- Wavelet methods for pointwise regularity and local oscillations of functions
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