On the stability of an invariant torus

  • 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.
Published
25.09.1997
How to Cite
Dudzyanyi S. I., and PerestyukN. A. “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.
Section
Research articles