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arXiv · 1603.08709

Dynamical canonical systems and their explicit solutions

Alexander Sakhnovich
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Abstract

Dynamical canonical systems and their connections with the classical (spectral) canonical systems are considered. We construct B\"acklund-Darboux transformation and explicit solutions of the dynamical canonical systems. We study also those properties of the solutions, which are of interest in evolution and control theories.

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Alexander Sakhnovich. 2016-03-29. Dynamical canonical systems and their explicit solutions. https://doi.org/10.3934/dcds.2017069

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