Results 21 to 30 of about 1,488 (185)

Random Fibonacci sequences [PDF]

Journal of Physics A: Mathematical and General, 2001
Solutions to the random Fibonacci recurrence x_{n+1}=x_{n} + or - Bx_{n-1} decrease (increase) exponentially, x_{n} = exp(lambda n), for sufficiently small (large) B. In the limits B --> 0 and B --> infinity, we expand the Lyapunov exponent lambda(B) in powers of B and B^{-1}, respectively.
Sire, Clément, Krapivsky, Paul L.
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Free Fibonacci Sequences

J. Integer Seq., 2014
This paper describes a class of sequences that are in many ways similar to Fibonacci sequences: given n, sum the previous two terms and divide them by the largest possible power of n. The behavior of such sequences depends on n. We analyze these sequences for small n: 2, 3, 4, and 5. Surprisingly these behaviors are very different.
Brandon Avila, Tanya Khovanova
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Optimal Control and the Fibonacci Sequence [PDF]

Journal of Optimization Theory and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
von Brasch, Thomas, Byström, Johan, Lystad, Lars Petter   +2 more
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Approximating the Fibonacci Sequence

Integers, 2016
See the abstract in the attached pdf.
Tom Edgar, Hailey Olafson, James Van Alstine   +2 more
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On the 2k-step Jordan-Fibonacci sequence

Advances in Difference Equations, 2017
In this paper, we define the 2k-step Jordan-Fibonacci sequence, and then we study the 2k-step Jordan-Fibonacci sequence modulo m. Also, we obtain the cyclic groups from the multiplicative orders of the generating matrix of the 2k-step Jordan-Fibonacci ...
Omur Deveci, Sait Taş, A Kılıçman
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On ideal convergence Fibonacci difference sequence spaces

Advances in Difference Equations, 2018
The Fibonacci sequence was firstly used in the theory of sequence spaces by Kara and Başarir (Casp. J. Math. Sci. 1(1):43–47, 2012). Afterward, Kara (J. Inequal. Appl.
Vakeel A. Khan, Rami K. A. Rababah, Kamal M. A. S. Alshlool, Sameera A. A. Abdullah, Ayaz Ahmad   +4 more
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Some properties of the generalized (p,q)- Fibonacci-Like number

MATEC Web of Conferences, 2018
For the real world problems, we use some knowledge for explain or solving them. For example, some mathematicians study the basic concept of the generalized Fibonacci sequence and Lucas sequence which are the (p,q) – Fibonacci sequence and the (p,q ...
Suvarnamani Alongkot
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New Fibonacci-type pulsated sequences [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
A new Fibonacci-type sequence from pulsated type is introduced. The explicit form of its members is given.
Lilija Atanassova, Velin Andonov
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The cyclic-Fibonacci hybrid sequence in groups [PDF]

Journal of Mahani Mathematical Research
The aim of this paper is to introduce the cyclic-Fibonacci hybrid sequence and give some properties. By taking into account the cyclic-Fibonacci hybrid sequence modulo $m$, the method will be given to determine the period lengths of this sequence ...
Esra Kırmızı Çetinalp, Nazmiye Yılmaz, Ömür Deveci   +2 more
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On the characteristic polynomial of ( k , p ) $(k,p)$ -Fibonacci sequence

Advances in Difference Equations, 2021
Recently, Bednarz introduced a new two-parameter generalization of the Fibonacci sequence, which is called the ( k , p ) $(k,p)$ -Fibonacci sequence and denoted by ( F k , p ( n ) ) n ≥ 0 $(F_{k,p}(n))_{n\geq0}$ .
Pavel Trojovský
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