We extend the recently developed generalized Floquet theory [Phys. Rev. Lett. 110, 170602 (2013)] to systems with innite memory, i.e., a dependence on the whole previous history. In particular, we show that a lower asymptotic bound exists for the Floquet exponents associated to such cases. As examples, we analyze the cases of an ideal 1D system, a Brownian particle, and a circuit resonator with an ideal transmission line. All these examples show the usefulness of this new approach to the study of dynamical systems with memory, which are ubiquitous in science and technology.
Application of Floquet theory to dynamical systems with memory / Traversa, Fabio L.; Di Ventra, Massimiliano; Cappelluti, Federica; Bonani, Fabrizio. - In: CHAOS. - ISSN 1054-1500. - ELETTRONICO. - 30:12(2020), p. 123102. [10.1063/5.0016058]
Titolo: | Application of Floquet theory to dynamical systems with memory | |
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Data di pubblicazione: | 2020 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1063/5.0016058 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
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CHA20-AR-00781.pdf | Articolo principale post referee | 2. Post-print / Author's Accepted Manuscript | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
Chaos 20.pdf | Articolo principale | 2a Post-print versione editoriale / Version of Record | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2854366