arxiv: 1308.3796 · v1 · pith:7EEZABEWnew · submitted 2013-08-17 · 🧮 math-ph · math.DS· math.MP· nlin.CD

Application of Floquet theory to dynamical systems with memory

Fabio L. Traversa , Massimiliano Di Ventra , Federica Cappelluti , Fabrizio Bonani This is my paper

classification 🧮 math-ph math.DSmath.MPnlin.CD

keywords floquetmemorysystemscasesdynamicalexamplesidealtheory

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We extend the recently developed generalized Floquet theory [Phys. Rev. Lett. 110, 170602 (2013)] to systems with infinite memory. 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.

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Application of Floquet theory to dynamical systems with memory

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