2017
Том 69
№ 7

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Alternating Lyapunov functions in the theory of linear extensions of dynamical systems on a torus

Kulik V. L., Stepanenko N. V.

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Abstract

We consider a series of problems connected with the application of quadratic-form Lyapunov functions to the investigation of the properties of regularity of linear extensions of dynamic systems on a torus.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 4, pp 546-562.

Citation Example: Kulik V. L., Stepanenko N. V. Alternating Lyapunov functions in the theory of linear extensions of dynamical systems on a torus // Ukr. Mat. Zh. - 2007. - 59, № 4. - pp. 488–500.

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