41 citations · 134 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
Rich dynamics and anticontrol of extinction in a prey-predator system
Marius-F. Danca, Michal Feckan, Nikolay Kuznetsov +1
This paper reveals some new and rich dynamics of a two-dimensional prey-predator system and to anticontrol the extinction of one of the species. For a particular value of the bifur…
Chaos control in the fractional order logistic map via impulses
Marius-F. Danca, Michal Feckan, Nikolay Kuznetsov
In this paper the chaos control in the discrete logistic map of fractional order is obtained with an impulsive control algorithm. The underlying discrete initial value problem of f…
Hidden chaotic attractors and chaos suppression in an impulsive discrete economical supply and demand dynamical system
M. -F. Danca, M. Feckan
Impulsive control is used to suppress the chaotic behavior in an one-dimensional discrete supply and demand dynamical system. By perturbing periodically the state variable with con…
Note on a parameter switching method for nonlinear ODEs
Marius-F. Danca, Michal Feckan
In this paper we study analytically a parameter switching (PS) algorithm applied to a class of systems of ODE, depending on a single real parameter. The algorithm allows the numeri…
Looking more closely to the Rabinovich-Fabrikant system
Marius-F. Danca, Michal Feckan, Nikolay Kuznetsov +1
Recently, we look more closely into the Rabinovich-Fabrikant system, after a decade of the study in [Danca & Chen, 2004], discovering some new characteristics such as cycling chaos…