Results 11 to 20 of about 6,319,108 (303)
The Julia Set of Hénon Maps [PDF]
Mathematische Annalen, 2006 In this paper we investigate the support of the unique measure of maximal entropy of complex Hénon maps, J * . The main question is whether this set is the same as the analogue of the Julia set J .Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.
Fornæss, John Erik
core +5 more sources
Fractal and FractionalThis 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 fractional ...
Marius-F. Danca
doaj +2 more sources
Ukrainian Mathematical Journal, 2022 UDC 517.5 For a familiy of holomorphic functions on an arbitrary domain, we introduce Fatou and Julia like sets, and establish some of their interesting properties.
Charak, K. S., Singh, A., Kumar, M.
openaire +2 more sources
Computability of Julia Sets [PDF]
Moscow Mathematical Journal, 2008 In this paper we settle most of the open questions on algorithmic computability of Julia sets. In particular, we present an algorithm for constructing quadratics whose Julia sets are uncomputable. We also show that a filled Julia set of a polynomial is always computable.
Braverman, Mark, Yampolsky, Michael
openaire +2 more sources
The Geometry of Julia Sets [PDF]
Transactions of the American Mathematical Society, 1993 The long term analysis of dynamical systems inspired the study of the dynamics of families of mappings. Many of these investigations led to the study of the dynamics of mappings on Cantor sets and on intervals. Julia sets play a critical role in the understanding of the dynamics of families of mappings.
Aarts, Jan M., Oversteegen, Lex G.
openaire +2 more sources
Julia Sets of Orthogonal Polynomials [PDF]
Potential Analysis, 2018 14 pages, 1 ...
Jacob Stordal Christiansen +3 more
openaire +5 more sources
On the measurable dynamics of real rational functions [PDF]
, 2003 Let f be a real rational function with all critical points on the extended real axis and of even order. Then: (1) f carries no invariant line field on the Julia set unless it is doubly covered by an integral torus endomorphism (a Lattés example); and
Shen, Weixiao, Weixiao Shen
core +1 more source
Fuzzy Julia Sets and Fuzzy Superior Julia Sets
Highlights in Science, Engineering and Technology, 2023 This article examine the past study of fuzzy Mandelbrot set and fuzzy superior Mandelbrot set, then give the definition of fuzzy Julia sets and fuzzy superior Julia sets with the idea of utilizing membership functions to represent the escape velocity of Julia sets or superior Julia sets of each complex number in the definition of fuzzy Mandelbrot set ...
openaire +1 more source
Consensus of Julia Sets of Potts Models on Diamond-Like Hierarchical Lattice
IEEE Access, 2022 The limit sets of zeros of the partition function for $\lambda $ -state Potts models on diamond-like hierarchical lattice are the Julia sets of functions in a family of rational functions. In this paper, the consensus problem of Julia sets generated by
Xiaoling Lu, Weihua Sun
doaj +1 more source
Julia sets and wild Cantor sets [PDF]
Geometriae Dedicata, 2014 There exist uniformly quasiregular maps $f:\mathbb{R}^3 \to \mathbb{R}^3$ whose Julia sets are wild Cantor sets.
Fletcher, Alastair, Wu, Jang-Mei
openaire +2 more sources