Companion matrices and Golden-Fibonacci sequences
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-019-01240-7
Abstract: We assign a companion sequence to a given companion matrix. Given a companion matrix $$\mathbf{C}$$C, we make use of the associated companion sequence to provide a simple closed-form expression for $$\mathbf{C}^n$$Cn, the nth power of… read more here.
Keywords: matrix; golden fibonacci; companion; companion matrices ... See more keywords
Optical absorption in Thue-Morse and Fibonacci planar graphene superlattices: Theoretical report
Sign Up to like & getrecommendations! Published in 2019 at "Physica B: Condensed Matter"
DOI: 10.1016/j.physb.2019.04.003
Abstract: Abstract Theoretical comparative study has been done on the optical absorption of planar graphene superlattice with Thue-Morse and Fibonacci sequence formed by patterning graphene sheet on a heterosubstrate as Sio2 and h-BN. A numerical method… read more here.
Keywords: optical absorption; planar graphene; absorption; fibonacci ... See more keywords
Quantum Walks in Periodic and Quasiperiodic Fibonacci Fibers
Sign Up to like & getrecommendations! Published in 2020 at "Scientific Reports"
DOI: 10.1038/s41598-020-64065-6
Abstract: Quantum walk is a key operation in quantum computing, simulation, communication and information. Here, we report for the first time the demonstration of quantum walks and localized quantum walks in a new type of optical… read more here.
Keywords: fibonacci; fibonacci fibers; quantum walks; quasiperiodic fibonacci ... See more keywords
On Diophantine Equations Related to Order of Appearance in Fibonacci Sequence
Sign Up to like & getrecommendations! Published in 2019 at "Mathematics"
DOI: 10.3390/math7111073
Abstract: Let F n be the nth Fibonacci number. Order of appearance z ( n ) of a natural number n is defined as smallest natural number k, such that n divides F k . In… read more here.
Keywords: fibonacci; order; equations related; order appearance ... See more keywords
The Metallic Ratio of Pulsating Fibonacci Sequences
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14061204
Abstract: The golden ratio and the Fibonacci sequence (Fn) are well known, as is the fact that the ratio Fn+1Fn converges to the golden ratio for sufficiently large n. In this paper, we investigate the metallic… read more here.
Keywords: fibonacci; metallic ratio; pulsating fibonacci; ratio ... See more keywords