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One–parametric semigroups of diffeomorphisms and one‐sided vector fields

    Paulius Miškinis Affiliation

Abstract

The fractional generalization of dynamical systems is considered. For this purpose, the concepts of fractional phase semi‐flow, fractional autonomous system and the generalized exponent of the vector field are introduced. Two examples of their application are explained in detail. Keywords: dynamical system, phase flow, diffeomorphism.


First published online: 09 Jun 2011

Keyword : dynamical system, phase flow, diffeomorphism

How to Cite
Miškinis, P. (2010). One–parametric semigroups of diffeomorphisms and one‐sided vector fields. Mathematical Modelling and Analysis, 15(2), 235-244. https://doi.org/10.3846/1392-6292.2010.15.235-244
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Apr 20, 2010
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This work is licensed under a Creative Commons Attribution 4.0 International License.