Rectifiability of solutions for a class of two-dimensional linear differential systems
From MaRDI portal
Publication:2362987
DOI10.1007/s00009-017-0854-5zbMath1373.34020OpenAlexW2593607173MaRDI QIDQ2362987
Masakazu Onitsuka, Satoshi Tanaka
Publication date: 12 July 2017
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-017-0854-5
Linear ordinary differential equations and systems (34A30) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Integration of real functions of several variables: length, area, volume (26B15) Nonautonomous smooth dynamical systems (37C60)
Related Items (2)
Uniform global asymptotic stability for oscillators with nonlinear damping and nonlinear restoring terms ⋮ Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonautonomous differential equations in Banach space and nonrectifiable attractivity in two-dimensional linear differential systems
- Global dynamics of Froude-type oscillators with superlinear damping terms
- Rectifiable oscillations of self-adjoint and damped linear differential equations of second-order
- Oscillatory and phase dimensions of solutions of some second-order differential equations
- Attractivity of the origin for the equation \(\ddot x+f(t,x,\dot x)|\dot x|^\alpha x+g(x)=0\)
- On the asymptotic behaviour of the solutions of a second order linear differential equation with small damping
- Minkowski-Bouligand dimension of solutions of the one-dimensional \(p\)-Laplacian.
- A necessary and sufficient condition for the asymptotic stability of the damped oscillator
- Characterization for rectifiable and nonrectifiable attractivity of nonautonomous systems of linear differential equations
- Fractal analysis of spiral trajectories of some planar vector fields
- Poincaré map in fractal analysis of spiral trajectories of planar vector fields
- 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
- FRACTAL ANALYSIS OF HOPF BIFURCATION AT INFINITY
This page was built for publication: Rectifiability of solutions for a class of two-dimensional linear differential systems