Influence of nonlinearity to box-counting dimensions of spiral orbits for two-dimensional differential systems

Nonlinear ordinary differential equations and systems (34A34) Stability of solutions to ordinary differential equations (34D20) Integration of real functions of several variables: length, area, volume (26B15) Fractals (28A80)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Nonautonomous differential equations in Banach space and nonrectifiable attractivity in two-dimensional linear differential systems
Rectifiable oscillations of self-adjoint and damped linear differential equations of second-order
Fractal oscillations of self-adjoint and damped linear differential equations of second-order
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 analysis of planar nilpotent singularities and numerical applications
Fractal analysis of degenerate spiral trajectories of a class of ordinary 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
Generalized Fresnel integrals and fractal properties of related spirals
Fractal analysis of spiral trajectories of some planar vector fields
Poincaré map in fractal analysis of spiral trajectories of planar vector fields
Oscillatority of Fresnel integrals and chirp-like functions
Wavy spirals and their fractal connection with chirps
Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems
Rectifiable and nonrectifiable solution curves of half-linear differential systems
Box-counting dimension of oscillatory solutions to the Emden-Fowler equation
FRACTAL ANALYSIS OF HOPF BIFURCATION AT INFINITY
Rectifiability of orbits for two-dimensional nonautonomous differential systems
Box dimension of Neimark–Sacker bifurcation
BOX DIMENSION AND MINKOWSKI CONTENT OF THE CLOTHOID

This page was built for publication: Influence of nonlinearity to box-counting dimensions of spiral orbits for two-dimensional differential systems