Fibonacci sequence and its generalizations in doped quantum spin ladders
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Magnetism and Magnetic Materials"
DOI: 10.1016/j.jmmm.2019.01.064
Abstract: Abstract An interesting aspect of antiferromagnetic quantum spin ladders, with complete dimer coverings, is that the wave function can be recursively generated by estimating the number of coverings in the valence bond basis, which follow… read more here.
Keywords: fibonacci sequence; quantum spin; doped quantum; spin ladders ... See more keywords
Copper ratio obtained by generalizing the Fibonacci sequence
Sign Up to like & getrecommendations! Published in 2024 at "AIP Advances"
DOI: 10.1063/5.0207147
Abstract: In this study, we define a new generalization of the Fibonacci sequence that gives the copper ratio, and we will call it the copper Fibonacci sequence. In addition, inspired by the copper Fibonacci definition, we… read more here.
Keywords: copper fibonacci; lucas; copper; sequence ... See more keywords
A Novel Fibonacci-Sequence-Based Chaotification Model for Enhancing Chaos in 1-D Maps
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DOI: 10.1109/jiot.2024.3450547
Abstract: Chaotic maps have found applications in a wide range of fields. However, many existing one-dimensional (1-D) chaotic maps suffer from limitations. Their smaller chaotic regions restrict their effectiveness in areas like cryptography and nonlinear dynamics… read more here.
Keywords: chaotic maps; novel fibonacci; model; fibonacci sequence ... See more keywords
A Two-by-Two matrix representation of a generalized Fibonacci sequence
Sign Up to like & getrecommendations! Published in 2017 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hjms.2017.477
Abstract: The Fibonacci sequence is a well-known example of second order recurrence sequence, which belongs to a particular class of recursive sequences. In this article, other generalized Fibonacci sequence is introduced and defined by $ H_{k,n+1}=2H_{k,n}+kH_{k,n-1},~n\geq1,~H_{k,0}=2,~H_{k,1}=1$… read more here.
Keywords: matrix representation; fibonacci sequence; generalized fibonacci; two two ... See more keywords