In this article, we solve some word equations originated from discrete dynamical systems related to antisymmetric cubic map. These equations emerge when we work with primitive and greatest words. In particular, we cha...In this article, we solve some word equations originated from discrete dynamical systems related to antisymmetric cubic map. These equations emerge when we work with primitive and greatest words. In particular, we characterize all the cases for which （β1β1） = （β2β） where β1 and β2 are the greatest words in 〈〈β31〉〉 and 〈〈β32〉〉 of M（n）.展开更多
The approach of word problems is adopted to study the centers of nonautonomous cubic equations.We answer various questions that arise from this investigation. In particular.we demonstrate that a recent condition for t...The approach of word problems is adopted to study the centers of nonautonomous cubic equations.We answer various questions that arise from this investigation. In particular.we demonstrate that a recent condition for the existence of a center is not necessary.展开更多
文摘In this article, we solve some word equations originated from discrete dynamical systems related to antisymmetric cubic map. These equations emerge when we work with primitive and greatest words. In particular, we characterize all the cases for which （β1β1） = （β2β） where β1 and β2 are the greatest words in 〈〈β31〉〉 and 〈〈β32〉〉 of M（n）.
文摘The approach of word problems is adopted to study the centers of nonautonomous cubic equations.We answer various questions that arise from this investigation. In particular.we demonstrate that a recent condition for the existence of a center is not necessary.
