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20112020
most citedHidden chaotic attractors in fractional-order systems

71 citations

25 papers

q-fin.GN2020★ 9 cited

Coexisting Hidden and self-excited attractors in an economic system of integer or fractional order

Marius-F. Danca

In this paper the dynamics of an economic system with foreign financing, of integer or fractional order, are analyzed. The symmetry of the system determines the existence of two pa…

nlin.CD2020★ 33 cited

Hidden and self-exited attractors in a heterogeneous Cournot oligopoly model

Marius-F. Danca, Marek Lampart

In this paper it is numerically proved that a heterogeneous Cournot oligopoly model presents hidden and self-excited attractors. The system has a single equilibrium and a line of e…

nlin.CD2019★ 15 cited

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…

nlin.CD2019★ 26 cited

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…

math.DS2019★ 3 cited

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…

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…