Construction of Lyapunov Functions in the Theory of Regular Linear Extensions of Dynamical Systems on a Torus

V. L. Kulyk

doi:10.1007/s11253-016-1170-0

Construction of Lyapunov Functions in the Theory of Regular Linear Extensions of Dynamical Systems on a Torus

V. L. Kulyk

Department of Mathematics (RMS/RMS1)

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Lyapunov functions are considered in the form of linear combinations of quadratic forms. We study the conditions under which the linear extensions of dynamic systems on a torus are regular.

Original language	English
Pages (from-to)	1527-1536
Number of pages	10
Journal	Ukrainian Mathematical Journal
Volume	67
Issue number	10
DOIs	https://doi.org/10.1007/s11253-016-1170-0
Publication status	Published - 1 Mar 2016

ASJC Scopus subject areas

General Mathematics

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10.1007/s11253-016-1170-0

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title = "Construction of Lyapunov Functions in the Theory of Regular Linear Extensions of Dynamical Systems on a Torus",

abstract = "Lyapunov functions are considered in the form of linear combinations of quadratic forms. We study the conditions under which the linear extensions of dynamic systems on a torus are regular.",

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Construction of Lyapunov Functions in the Theory of Regular Linear Extensions of Dynamical Systems on a Torus

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