类不连续系统及其特征行为

Quasi-discontinuous Systems and their Characteristics

我们正在进行的基金项目"不连续保守系统和类不连续系统的特征动力学行为"(编号:19975039)在三个研究方向(不连续保守系统、类不连续系统、边界碰撞分岔序列的锁相阶梯)上取得了初步成果.

Many systems can display a very short,rapid changing stage (quasi-discontinuous region) inside a relatively very long and slowly changing process.A quantitative definition for the“quasi- discontinuity”in these systems was introduced and some characteristics of them were shown by means of simplified models.The characteristics are a trap-induced gap,some extraordinary Feigenbaum constants inside the period-doubling cascades,and a kind of intermittency showing a scaling property between type Ⅰ and type Ⅴ. These phenomena are observed in two practical systems:the model of Pikovsky circuit and Rose-Hindmash model in biophysics.