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math.DS2022★ 4 cited
Projective Embedding of Dynamical Systems: uniform mean field equations
Francesco Caravelli, Fabio L. Traversa, Michele Bonnin +1
We study embeddings of continuous dynamical systems in larger dimensions via projector operators. We call this technique PEDS, projective embedding of dynamical systems, as the sta…
math.DS2012★ 40 cited
Generalized Floquet theory: application to dynamical systems with memory and Bloch's theorem for nonlocal potentials
Fabio L. Traversa, Massimiliano Di Ventra, Fabrizio Bonani
Floquet theory is a powerful tool in the analysis of many physical phenomena, and extended to spatial coordinates provides the basis for Bloch's theorem. However, in its original f…