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