71 citations
- Romanian Institute of Science and TechnologyRO21 papers
- University of JyväskyläFI7 papers
- St Petersburg UniversityRU6 papers
- City University of Hong KongHK5 papers
- Comenius University BratislavaSK5 papers
- Mathematical Institute of the Slovak Academy of SciencesSK5 papers
- Slovak Academy of SciencesSK5 papers
- Consejo Superior de Investigaciones CientíficasES3 papers
- Russian State Scientific Center for Robotics and Technical CyberneticsRU3 papers
- Babeș-Bolyai UniversityRO1 paper
- Beihang UniversityCN1 paper
- Inner Mongolia University of Finance and EconomicsCN1 paper
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…