Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Marius-F. Danca"'
Publikováno v:
Fractal and Fractional, Vol 8, Iss 9, p 500 (2024)
This paper discusses impulsive effects on fractional differential equations. Two approaches are taken to obtain our results: either with fixed or changing lower limits in Caputo fractional derivatives. First, we derive an existence result for periodi
Externí odkaz:
https://doaj.org/article/d88f7daeae754030b559f96f114c9750
Autor:
Marius-F. Danca
Publikováno v:
Fractal and Fractional, Vol 8, Iss 1, p 69 (2024)
This paper deepens some results on a Mandelbrot set and Julia sets of Caputo’s fractional order. It is shown analytically and computationally that the classical Mandelbrot set of integer order is a particular case of Julia sets of Caputo-like fract
Externí odkaz:
https://doaj.org/article/3b6dae49feac4c6398b290aec7db67a7
Publikováno v:
Fractal and Fractional, Vol 7, Iss 4, p 304 (2023)
In this paper, it is shown that a class of discrete Piece Wise Continuous (PWC) systems with Caputo-type delta fractional difference may not have solutions. To overcome this obstacle, the discontinuous problem is restarted as a continuous fractional
Externí odkaz:
https://doaj.org/article/c602867924d34421b709f2558c2f75e2
Autor:
Michal Fečkan, Marius-F. Danca
Publikováno v:
Fractal and Fractional, Vol 7, Iss 1, p 68 (2023)
Aspects related to non-periodicity of a class of complex maps defined in the sense of Caputo like fractional differences and to the asymptotical stability of fixed points are considered. As example the Mandelbrot map of fractional order is considered
Externí odkaz:
https://doaj.org/article/35552e9adf684518be5c33f58ace8449
Autor:
Marius-F. Danca
Publikováno v:
Fractal and Fractional, Vol 7, Iss 1, p 49 (2022)
In this paper, the shape of the stability domain Sq for a class of difference systems defined by the Caputo forward difference operator Δq of order q∈(0,1) is numerically analyzed. It is shown numerically that due to of power of the negative base
Externí odkaz:
https://doaj.org/article/a57a159d14e74c98b2383473f29c285c
Autor:
Michal Fečkan, Marius-F. Danca
Publikováno v:
Mathematics, Vol 10, Iss 12, p 2040 (2022)
This Special Issue aims to collect new perspectives on the trends in both theory and applications of stability of fractional order continuous and discrete systems, analytical and numerical approaches, and any related problems regarding (but not limit
Externí odkaz:
https://doaj.org/article/99e00b1c1ee54c9394dc12cce2343b1b
Autor:
Marius-F. Danca, Nikolay Kuznetsov
Publikováno v:
Mathematics, Vol 10, Iss 2, p 213 (2022)
In this paper, the D3 dihedral logistic map of fractional order is introduced. The map presents a dihedral symmetry D3. It is numerically shown that the construction and interpretation of the bifurcation diagram versus the fractional order requires s
Externí odkaz:
https://doaj.org/article/b21493dec1b5484785c825b2ae9c9d49
Publikováno v:
Mathematics, Vol 9, Iss 18, p 2204 (2021)
This paper studies a system of coupled discrete fractional-order logistic maps, modeled by Caputo’s delta fractional difference, regarding its numerical integration and chaotic dynamics. Some interesting new dynamical properties and unusual phenome
Externí odkaz:
https://doaj.org/article/655d693121a14e2b90b71c9e42d4d886
Autor:
Marius-F. Danca, Nikolay Kuznetsov
Publikováno v:
Mathematics, Vol 9, Iss 6, p 652 (2021)
In this paper, it is found numerically that the previously found hidden chaotic attractors of the Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic attractors. For a range of the bifurcation parameter, the hidde
Externí odkaz:
https://doaj.org/article/2ca8a00aa1a541f4baa0cfa470b481ed
Autor:
Marius-F. Danca
Publikováno v:
Symmetry, Vol 12, Iss 3, p 340 (2020)
In this paper, the fractional-order variant of Puu’s system is introduced, and, comparatively with its integer-order counterpart, some of its characteristics are presented. Next, an impulsive chaos control algorithm is applied to suppress the chaos
Externí odkaz:
https://doaj.org/article/e7a3b291c1344bb68edd38342bca366d