In this paper we consider generalizations of dynamical systems that are based on the Fibonacci sequence. We first study stability properties of such systems for both the continuous and discrete–time case. Then, by considering the Kronecker operator, a further class of dynamical systems is introduced whose outputs can be used to define possible generalization of the golden section. Appli- cations of such system may range from realization of digital filters, manufacturing of tissue with fractal property, etc. Properties of sequences generated by these systems are partially considered and has to be further addressed.
Balestrino, A., Fagiolini, A., & Zini, G. (2009). Generalized Fibonacci Dynamical Systems. In Proceedings of 13th Conference on Fibonacci Numbers and their Applications.
Autori: | Balestrino, A.; Fagiolini, A.; Zini, G. | |
Titolo: | Generalized Fibonacci Dynamical Systems | |
Settore Scientifico Disciplinare: | Settore ING-INF/04 - Automatica | |
Nome del convegno: | 13th Conference on Fibonacci Numbers and their Applications | |
Luogo del convegno: | Patras (Greece) | |
Data di pubblicazione: | 2009 | |
Numero di pagine: | 9 | |
Citazione: | Balestrino, A., Fagiolini, A., & Zini, G. (2009). Generalized Fibonacci Dynamical Systems. In Proceedings of 13th Conference on Fibonacci Numbers and their Applications. | |
Tipologia: | 0 - Proceedings (TIPOLOGIA NON ATTIVA) | |
Appare nelle tipologie: | 0 - Proceedings (TIPOLOGIA NON ATTIVA) |
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