190 citations · 716 across the 45 of their papers we have counts for
45 papers
Improved Matlab code for Lyapunov exponents of fractional order systems
Marius-F. Danca
This paper presents an improved Matlab routine, FO_LE, for the numerical computation of Lyapunov exponents of fractional-order systems modeled by Caputo's derivative. It is conceiv…
Memory principle of the Matlab code for Lyapunov Exponents of fractional order
Marius-F. Danca, Michal feckan
The paper presents two representative classes of Impulsive Fractional Differential Equations defined with generalized Caputoś derivative, with fixed lower limit and changing lower…
Approximation and decomposition of attractors of a Hopfield neural network system
Marius-F. Danca, Guanrong Chen
In this paper, the Parameter Switching (PS) algorithm is used to approximate numerically attractors of a Hopfield Neural Network (HNN) system. The PS algorithm is a convergent sche…
Mandelbrot set as a particular Julia set of Fractional Order, echipotential lines and external rays of Mandelbrot and Julia sets of Fractional Order
Marius-F. Danca
In this paper it is shown analytically and computationally that the Mandelbrot set of integer order are particular cases of Julia sets of Caputo s like fractional order. Also the d…
Chaotic hidden attractor in a fractional order system modelling the interaction between dark matter and dark energy
Marius-F. Danca
In this paper the dynamics of a fractional order system modelling the interaction between dark matter and dark energy is analytically and numerically studied. It is shown for the f…
Mandelbrot set and Julia sets of fractional order
Marius-F. Danca, Michal Feckan
In this paper the fractional-order Mandelbrot and Julia sets in the sense of -th Caputo-like discrete fractional differences, for , are introduced and several propert…