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20112020
most citedHidden chaotic attractors in fractional-order systems

71 citations

Showing 2018Show all

5 papers · 1 filter

nlin.CD2018★ 25 cited

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…

math.DS2018★ 18 cited

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…

nlin.CD2018★ 25 cited

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…

math.DS2018★ 41 cited

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…

nlin.CD2018★ 71 cited

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…