论文标题
层状混乱
Laminar Chaos
论文作者
论文摘要
我们表明，随时间变化的延迟系统的输出可以表现出一种以层流相为特征的新型混沌行为，这些行为会被定期被不规则的爆发中断。在每个层流相中，输出强度几乎保持恒定，但其水平因相位而异。在标量系统中，可以通过两个一维映射理解并调整强度水平的混乱动力学的周期性动力学，这可以分别从延迟方程的非线性和延迟变化中得出。
We show that the output of systems with time-varying delay can exhibit a new kind of chaotic behavior characterized by laminar phases, which are periodically interrupted by irregular bursts. Within each laminar phase the output intensity remains almost constant, but its level varies chaotically from phase to phase. In scalar systems the periodic dynamics of the lengths and the chaotic dynamics of the intensity levels can be understood and also tuned via two one-dimensional maps, which can be deduced from the nonlinearity of the delay equation and from the delay variation, respectively.
