Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant
Keyword(s):
Continuous generalizations of the Fibonacci sequence satisfy ODEs that are formal analogues of the Friedmann equation describing a spatially homogeneous and isotropic cosmology in general relativity. These analogies are presented together with their Lagrangian and Hamiltonian formulations and with an invariant of the Fibonacci sequence.
2020 ◽
Vol 16
(07)
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pp. 1643-1666
1980 ◽
Vol 11
(2)
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pp. 197-200
2005 ◽
Vol 20
(20n21)
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pp. 4797-4819
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2012 ◽
Vol 160
(9)
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pp. 1399-1405
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