190 citations · 716 across the 45 of their papers we have counts for
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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…
On the stability domain of a class of linear systems of fractional order
Marius-F. Danca
In this paper, the shape of the stability domain S^q for a class of difference systems defined by the Caputo forward difference operator D^q of order q\in (0, 1) is numerically ana…
Symmetry-breaking and bifurcation diagrams of fractional-order maps
Marius-F. Danca
In this paper two important aspects related to Caputo fractional-order discrete variant of a class of maps defined on the complex plane, are analytically and numerically revealed:…
Controlling dynamics of a COVID--19 mathematical model using a parameter switching algorithm
Marius-F. Danca
In this paper the dynamics of an autonomous mathematical models of COVID-19 depending on a real parameter bifurcation, is controlled by switching periodically the parameter value.…
Chaos suppression in a Gompertz-like discrete system of fractional order
Marius-F. Danca, Michal Feckan
In this paper we introduce the fractional-order variant of a Gompertz-like discrete system. The chaotic behavior is suppressed with an impulsive control algorithm. The numerical in…
Graphical exploration of the connectivity sets of alternated Julia sets; M, the set of disconnected alternated Julia sets
Marius-F. Danca, Paul Bourke, Miguel Romera
Using computer graphics and visualization algorithms, we extend in this work the results obtained analytically in [1], on the connectivity domains of alternated Julia sets, defined…