First-order expansions of coupled Leonardo sequences

Authors

DOI:

https://doi.org/10.20873/retmat.uft.v1n1.2026.23181

Keywords:

Coupled Leonardo sequence, perturbation, stability, spectral radius

Abstract

In this paper, we derive the first-order term in the asymptotic expansion of the coupled
Leonardo sequence, providing a quantitative description of its sensitivity to perturbations
in both the recurrence coefficients and the coupling term.

References

SLOANE, N. J. A. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation, Highland Park, NJ, USA, 2024. Available at: https://oeis.org.

MESQUITA, E. G.; ALVES, F.; CARVALHO, F.; COSTA, E. Some properties of the coupled Leonardo sequence. Hacettepe Journal of Mathematics and Statistics, 2026.

ELAYDI, S. An Introduction to Difference Equations. 3rd ed. New York: Springer, 2005.

KELLEY, W. G.; PETERSON, A. C. Difference Equations: An Introduction with Applications. 2nd ed. San Diego: Academic Press, 2001.

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Published

2026-06-02

How to Cite

SOARES DE CARVALHO, F. (2026). First-order expansions of coupled Leonardo sequences. Revista Tocantinense De Matemática , 1(1). https://doi.org/10.20873/retmat.uft.v1n1.2026.23181

Issue

Section

Edição inaugural