190 citations · 716 across the 45 of their papers we have counts for
6 papers · 1 filter
Breaking Points in Quartic Maps
M. Romera, G. Pastor, M. -F. Danca +3
Dynamical systems, whether continuous or discrete, are used by physicists in order to study non-linear phenomena. In the case of discrete dynamical systems, one of the most used is…
Parameter switching in a generalized Duffing system: Finding the stable attractors
Marius-F. Danca, Nicolae Lung
This paper presents a simple periodic parameter-switching method which can find any stable limit cycle that can be numerically approximated in a generalized Duffing system. In this…
Lyapunov exponents of a class of piecewise continuous systems of fractional order
Marius-F. Danca
In this paper, we prove that a class of autonomous piecewise continuous systems of fractional order has well-defined Lyapunov exponents. For this purpose, based on some known resul…
Suppressing chaos in discontinuous systems of fractional order by active control
Marius-F Danca, Roberto Garrappa
In this paper, a chaos control algorithm for a class of piece-wise continuous chaotic systems of fractional order, in the Caputo sense, is proposed. With the aid of Filippov's conv…
Synchronization of piece-wise continuous systems of fractional order
Marius-F. Danca
The aim of this study is to prove analytically that synchronization of a piece-wise continuous class of systems of fractional order can be achieved. Based on our knowledge, there a…
Continuous approximations of a class of piece-wise continuous systems
Marius-F. Danca
In this paper we provide a rigorous mathematical foundation for continuous approximations of a class of systems with piece-wise continuous functions. By using techniques from the t…