Results 11 to 20 of about 2,048,777 (316)
Periodic points on the $2$-sphere
Discrete and Continuous Dynamical Systems, 2014 For a $C^{1}$ degree two latitude preserving endomorphism $f$ of the 2-sphere, we show that $f$ has $2^{n}$ periodic points.
Pugh, Charles, Shub, Michael
exaly +3 more sources
Mertens’ Theorem for some certain intermediate growths [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 The dynamical Mertens' Theorem gives asymptotics for weighted averages of numbers of closed orbits in S-integer dynamical systems, which are constructed from arithmetic data, namely , , and S a subset of rational primes.
Sawian Jaidee
doaj +1 more source
Chaotic Behaviour in Two-parameter Family of Transcendental Functions Associated with Exponential Map [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 This article is devoted to the study of chaos and bifurcation in the real dynamics of a newly proposed two-parameter family of transcendental functions. We assume that one parameter is continuous and other parameter is discrete.
Mohammad Sajid, Abdullah S. Alsuwaiyan
doaj +1 more source
The average value of a certain number-theoretic function over the primes [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 We consider functions F:ℤ_{≥0}→ℤ_{≥0} for which there exists a positive integer n such that two conditions hold: F(p) divides n for every prime p, and for each divisor d of n and every prime p, we have that d divides F(p) iff d divides F(p mod d ...
Louis Rubin
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Вісник Національного технічного університету "ХПÌ": Системний аналіз, управління та інформаційні технології, 2022 Mixing processes are found in the chemical, pharmaceutical and food industries. Fluid mixing is one of the fundamental scientific problems associated with modern concepts of regular and chaotic dynamics.
Nadiia Gybkina +2 more
doaj +1 more source
Periodic points and smooth rays [PDF]
Conformal Geometry and Dynamics of the American Mathematical Society, 2021 Let P : C → C P: \mathbb {C} \to \mathbb {C} be a polynomial map with disconnected filled Julia set K P K_P and let z 0 z_0 be a repelling or parabolic periodic point of P P .
Petersen, Carsten Lunde; id_orcid 0000-0002-4890-3183 +1 more
openaire +4 more sources
Periodic points of solenoidal automorphisms in terms of inverse limits
Applied General Topology, 2021 In this paper, we describe the periodic points of automorphisms of a one dimensional solenoid, considering it as the inverse limit, lim←k (S 1 , γk) of a sequence (γk) of maps on the circle S 1 .
Sharan Gopal, Faiz Imam
doaj +1 more source
Erratum: Point-to-Periodic and Periodic-to-Periodic Connections [PDF]
BIT Numerical Mathematics, 2004 This addition includes a list of essential corrections to the authors' paper [ibid. 44, No.~1, 41--62 (2004; Zbl 1052.65113)].
Dieci, Luca, Rebaza, Jorge
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Stirling numbers and periodic points [PDF]
Acta Arithmetica, 2021 We introduce the notion of almost realizability, an arithmetic generalization of realizability for integer sequences, which is the property of counting periodic points for some map. We characterize the intersection between the set of Stirling sequences (of both the first and the second kind) and the set of almost realizable sequences.
Miska P, Ward T
openaire +5 more sources
On the Construction of Chaotic Dynamical Systems on the Box Fractal
Researches in Mathematics, 2021 In this paper, our main aim is to obtain two different discrete chaotic dynamical systems on the Box fractal ($B$). For this goal, we first give two composition functions (which generate Box fractal and filled-square respectively via escape time ...
N. Aslan, M. Saltan
doaj +1 more source