© 2016, Pleiades Publishing, Ltd.A general formula for the Lyapunov dimension of attractors of the Lorenz and Tigan systems is derived in the case when all their equilibrium states are hyperbolic. Lyapunov dimension formulas are obtained for the classical Lorentz parameters σ > 0, r > 1, and b ∈ (0, 4]. The problems of deriving analytical dimension formulas for the Chen and Lu systems and for the global stability of the Lorenz system are formulated.
Original languageEnglish
Pages (from-to)304-306
JournalDoklady Mathematics
Volume93
Issue number3
DOIs
StatePublished - 2016
Externally publishedYes

ID: 7951621