On the stability of an invariant torus

Authors

  • S. I. Dudzyanyi
  • N. A. Perestyuk

Abstract

We consider the problem of the asymptotic stability for trivial invariant torus of a linear extension of dynamical system on a torus. We formulate and prove sufficient criteria of asymptotic stability and study conditions for the existence and uniqueness of the Lyapunov functions of fixed sign.

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Published

25.09.1997

Issue

Vol. 49 No. 9 (1997)

Section

Research articles

How to Cite

Dudzyanyi, S. I., and N. A. Perestyuk. “On the Stability of an Invariant Torus”. Ukrains’kyi Matematychnyi Zhurnal, vol. 49, no. 9, Sept. 1997, pp. 1212-2, https://umj.imath.kiev.ua/index.php/umj/article/view/5120.