Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems
From MaRDI portal
Publication:4575565
zbMath1401.34020arXiv1703.01738MaRDI QIDQ4575565
Masakazu Onitsuka, Satoshi Tanaka
Publication date: 13 July 2018
Full work available at URL: https://arxiv.org/abs/1703.01738
Linear ordinary differential equations and systems (34A30) Length, area, volume, other geometric measure theory (28A75)
Cites Work
- Nonautonomous differential equations in Banach space and nonrectifiable attractivity in two-dimensional linear differential systems
- Uniform asymptotic stability for damped linear oscillators with variable parameters
- Fractal oscillations of self-adjoint and damped linear differential equations of second-order
- Rectifiable oscillations in second-order linear differential equations
- Oscillatory and phase dimensions of solutions of some second-order differential equations
- Fractal properties of Bessel functions
- Minkowski-Bouligand dimension of solutions of the one-dimensional \(p\)-Laplacian.
- Fractal oscillations of chirp functions and applications to second-order linear differential equations
- Characterization for rectifiable and nonrectifiable attractivity of nonautonomous systems of linear differential equations
- Rectifiability of solutions for a class of two-dimensional linear differential systems
- Fractal analysis of spiral trajectories of some planar vector fields
- Fractal oscillations for a class of second order linear differential equations of Euler type
- Poincaré map in fractal analysis of spiral trajectories of planar vector fields
- Non-uniform asymptotic stability for the damped linear oscillator
- Wavy spirals and their fractal connection with chirps
- ASYMPTOTIC STABILITY OF x″+a(t)x′+x=0
- On stability of linear time-varying second-order differential equations
- Integral conditions on the uniform asymptotic stability for two-dimensional linear systems with time-varying coefficients
- Rectifiable and nonrectifiable solution curves of half-linear differential systems
- FRACTAL ANALYSIS OF HOPF BIFURCATION AT INFINITY
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems