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most citedHidden chaotic attractors in fractional-order systems

71 citations

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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…

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…

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…

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…