Zobrazeno 1 - 10
of 224
pro vyhledávání: '"Mandelbox"'
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 50:229-240
This paper extends the study of noise-perturbed planar Julia sets to the spatial case by studying the Julia set of a complex Lorenz system. We give the definition of the Julia set of a complex Lorenz system and visualize its spatial fractal structure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fae6dea2893d6c93424688bdd7248aad
https://doi.org/10.1016/j.cnsns.2017.03.001
https://doi.org/10.1016/j.cnsns.2017.03.001
Publikováno v:
The Journal of Nonlinear Sciences and Applications. 10:1148-1161
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a8919519cc452f2ece37247aee104e0
https://doi.org/10.22436/jnsa.010.03.24
https://doi.org/10.22436/jnsa.010.03.24
Publikováno v:
Nelineinaya Dinamika. 13:331-348
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc6bf1cf97fe132876bd4e383cc33d14
https://doi.org/10.20537/nd1703003
https://doi.org/10.20537/nd1703003
Autor:
Pedro María Alcover
Publikováno v:
Repositorio Digital de la Universidad Politécnica de Cartagena
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This article shows the presence of Moiré Interference patterns in the map of periods of the Mandelbrot Set. It describes the requirements for their appearance and shows that such interferences are highly sensitive to the original conditions that def
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e9ec24dc939f36c518217ed1ed2320f
https://doi.org/10.1016/j.cnsns.2016.06.016
https://doi.org/10.1016/j.cnsns.2016.06.016
Publikováno v:
Journal of Difference Equations and Applications. 23:503-520
We consider the family of rational maps given by Fλ(z)=zn+λ/zd where n,d∈N with 1/n+1/d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8c7bf396837b689f6a39a4ecf4e6454c
https://doi.org/10.1080/10236198.2016.1256392
https://doi.org/10.1080/10236198.2016.1256392
Publikováno v:
Filomat. 30:3033-3046
In this paper we study the geometry of relative superior Mandelbrot sets through S-iteration scheme. Our results are quit significant from other Mandelbrot sets existing in the literature. Besides this, we also observe that S-iteration scheme converg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f5fc45302c5eec670b3024b05354125
https://doi.org/10.2298/fil1611033k
https://doi.org/10.2298/fil1611033k
Autor:
Robert L. Devaney
Publikováno v:
Journal of Difference Equations and Applications. 22:330-342
In this paper we describe a new structure that arises in the parameter plane of the family of maps zn+λ/zd where n≥2 is even but d≥3 is odd. We call these structures Mandelbrot–Sierpinski spokes (or, for short, ‘Mandelpinski spokes’). It i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::320a7def1ed47904d4afd1c2f92891a4
https://doi.org/10.1080/10236198.2015.1092525
https://doi.org/10.1080/10236198.2015.1092525
Autor:
Andrzej Katunin, Kamil Fedio
Publikováno v:
Journal of Applied Mathematics and Computational Mechanics, Vol 14, Iss 1, Pp 63-69 (2015)
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In this article we analyze the generalized Mandelbrot set in higher-order hyper- complex number spaces following both the Cayley-Dickson construction algebraic spaces and the spaces defined by Clifford algebras. The particular case of the generalized
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a3e6b61deed8a4efa1be49d1a9d3526
https://doaj.org/article/0ecd2092d1694347b1e5306639aa2401
https://doaj.org/article/0ecd2092d1694347b1e5306639aa2401
Autor:
Hyong-Je Cho, Mi-Jeong Lim
Publikováno v:
The Journal of the Institute of Webcasting, Internet and Telecommunication. 15:217-222
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3cc23c33f97b37717ff81d480a0d3eb1
https://doi.org/10.7236/jiibc.2015.15.1.217
https://doi.org/10.7236/jiibc.2015.15.1.217
Publikováno v:
Nonlinear Dynamics. 80:929-935
Based on the boundary scanning method, a partition of the boundary of the Mandelbrot set is defined. The various classes of points of the boundary according to their divergence from the interior and the exterior of the Mandelbrot set are discussed. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f0f4bda765ccda8d10c4d95db0fec2f
https://doi.org/10.1007/s11071-015-1917-4
https://doi.org/10.1007/s11071-015-1917-4