A Class of Compact Kählerian Solvmanifolds and a General Conjecture

We give some explicit examples of compact Kählerian solvmanifolds and, by extending them naturally, we find a class of compact Kählerian solvmanifolds; namely, a finite quotient of a complex torus that is a holomorphic fiber bundle over a complex torus with fiber a complex torus. Then we see that under some restriction a compact solvmanifold is Kählerian if and only if it belongs to this class. We are thus led to a conjecture that this result would hold without any restriction.     

准周期驱动圆映射的环面分岔机制及标度关系

研究了准周期驱动圆映射的倍环面分岔数p与驱动强度ε之间的标度关系,并详细讨论了系统参数对环面分岔的影响,获得了准周期驱动圆映射的倍环面分岔机制。