一些非线性电路中的V型阵发前奏锁相阶梯

Prelude Phase-Locking Staircases to Type V Intermittency in Some Nonlinear Electronic Circuits

介绍了3个非线性电路系统展示的V型阵发前奏锁相阶梯 这些前奏锁相阶梯可能只含有极少的锁相台阶,甚至不含有锁相台阶,也可能含有无限多个锁相台阶而构成一个传统魔梯,或构成一个多重魔梯 在后两种情况中,在一个传统魔梯支内,绕数或转换数随控制参量的变化是单调的,而且它们锁定的锁相台阶的分布符合Farey树规则

The V type intermittency prelude phaselocking staircases displayed in three nonlinear electronic circuits are reported. The staircases may consist of a few phaselocked steps, or even zero number of steps, or take form of a conventional devil's staircase, or form of a multiple devil's staircase. In the later two cases, winding number or transfer number varies monotonically inside each branch of conventional devil's staircase when the control parameters change, and the distribution of phaselocked steps follow Farey tree rule. The chaotic attractor appearing after the staircase is always the endresults of the image set of the discontinuous borderline.