Results 21 to 30 of about 2,048,777 (316)

A New View of Homomorphic Properties of BCK-Algebra in Terms of Some Notions of Discrete Dynamical System

open access: yesJournal of New Theory, 2021
In the present manuscript, we introduce the concept of a discrete dynamical system (Ⱬ,Ψ) in BCK-algebra where Ⱬ is a BCK-algebra and Ψ is a homomorphism from Ⱬ to Ⱬ and establish some of their related properties. We prove that the set of all fixed points
Abdul Rehman, Dawood Khan
doaj   +1 more source

Periodic Intermediate β-Expansions of Pisot Numbers

open access: yesMathematics, 2020
The subshift of finite type property (also known as the Markov property) is ubiquitous in dynamical systems and the simplest and most widely studied class of dynamical systems are β -shifts, namely transformations of the form T β , α : x ↦ β
Blaine Quackenbush   +2 more
doaj   +1 more source

A Cr unimodal map with an arbitrary fast growth of the number of periodic points [PDF]

open access: yes, 2012
In this paper we present a surprising example of a C(r) unimodal map of an interval f : I -> I whose number of periodic points P(n)(f) = vertical bar{x is an element of I : f(n) x = x}vertical bar grows faster than any ahead given sequence along a ...
Kaloshin, V., Kozlovski, O.
core   +1 more source

On the Periodic Structure of Parallel Dynamical Systems on Generalized Independent Boolean Functions

open access: yesMathematics, 2020
In this paper, based on previous results on AND-OR parallel dynamical systems over directed graphs, we give a more general pattern of local functions that also provides fixed point systems.
Juan A. Aledo   +4 more
doaj   +1 more source

Periodic Points of Asymmetric Bernoulli Shifts

open access: yesJournal of Mathematics, 2021
It is well-known that Sharkovskii’s theorem gives a complete structure of periodic order for a continuous self-map on a closed bounded interval. As a further study, a natural problem is how to determine the location and number of periodic points for a ...
Yong-Guo Shi, Kai Chen, Wei Liao
doaj   +1 more source

Morphic Heights and Periodic Points [PDF]

open access: yes, 2004
An approach to the calculation of local canonical morphic heights is described, motivated by the analogy between the classical height in Diophantine geometry and entropy in algebraic dynamics. We consider cases where the local morphic height is expressed as an integral average of the logarithmic distance to the closure of the periodic points of the ...
Einsiedler, M., Everest, G., Ward, T.
openaire   +4 more sources

The Periodic Points of Renormalization [PDF]

open access: yesThe Annals of Mathematics, 1998
It will be shown that the renormalization operator, acting on the space of smooth unimodal maps with critical exponent greater than 1, has periodic points of any combinatorial type.
openaire   +2 more sources

A counter example on common periodic points of functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
By a counter example we show that two continuous functions defined on a compact metric space satisfying a certain semi metric need not have a common periodic point.
Aliasghar Alikhani-Koopaei
doaj   +1 more source

Bifurcation and Chaos in Real Dynamics of a Two-Parameter Family Arising from Generating Function of Generalized Apostol-Type Polynomials

open access: yesMathematical and Computational Applications, 2018
The aim of this paper is to investigate the bifurcation and chaotic behaviour in the two-parameter family of transcendental functions f λ , n ( x ) = λ x ( e x + 1 ) n , λ > 0 , x ∈ R , n ∈ N \ { 1 } which ...
Mohammad Sajid
doaj   +1 more source

New periodic orbits in the solar sail three-body problem [PDF]

open access: yes, 2011
We identify displaced periodic orbits in the circular restricted three-body problem, wher the third (small) body is a solar sail. In particular, we consider solar sail orbits in the earth-sun system which are high above the exliptic plane.
Biggs, J.D.   +8 more
core   +1 more source

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