© 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.
Язык оригиналаанглийский
Страницы (с-по)304-306
ЖурналDoklady Mathematics
Том93
Номер выпуска3
DOI
СостояниеОпубликовано - 2016
Опубликовано для внешнего пользованияДа

ID: 7951621