190 citations · 716 across the 45 of their papers we have counts for
8 papers · 1 filter
Approximating hidden chaotic attractors via parameter switching
Marius-F. Danca, Nikolay Kuznetsovc, Guanrong Chen
In this paper, the problem of approximating hidden chaotic attractors of a general class of nonlinear systems is investigated. The Parameter Switching (PS) algorithm is utilized, w…
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…
Graphical structure of attraction basins of hidden attractors: the Rabinovich-Fabrikant system
Marius-F. Danca, Paul Bourke, Nikolay Kuznetsov
For systems with hidden attractors and unstable equilibria, the property that hidden attractors are not connected with unstable equilibria is now accepted as one of their main char…
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…
A simplified superheating Rankine pump with possible application in irrigation
Marius-F. Danca
In this paper a simplified superheating Rankine pump is presented. For an easy understanding and study of its functioning principle, the pump has been experimentally implemented, w…
Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system
Marius-F. Danca, M. Feckan, Nikolay V. Kuznetsov +1
In this paper, a continuous approximation to studying a class of PWC systems of fractionalorder is presented. Some known results of set-valued analysis and differential inclusions…
Hidden chaotic attractors in fractional-order systems
Marius-F. Danca
In this paper, we present a scheme for uncovering hidden chaotic attrac- tors in nonlinear autonomous systems of fractional order. The stability of equilibria of fractional-order s…
Matlab code for Lyapunov exponents of fractional order systems
Marius-F. Danca, Nikolay Kuznetsov
In this paper the Benettin-Wolf algorithm to determine all Lyapunov exponents for a class of fractional-order systems modeled by Caputo's derivative and the corresponding Matlab co…