中国物理B ›› 2007, Vol. 16 ›› Issue (8): 2285-2290.doi: 10.1088/1009-1963/16/8/021
徐霞1, 张建峡2, 徐云3, 周红3
Xu Yun(徐云)a)†, Zhang Jian-Xia(张建峡)b), Xu Xia(徐霞)c), and Zhou Hong(周红)a)
摘要: Evidence is presented for the nonchaotic random behaviour in a second-order autonomous deterministic system. This behaviour is different from chaos and strange nonchaotic attractor. The nonchaotic random behaviour is very sensitive to the initial conditions. Slight difference of the initial conditions will generate wholly different phase trajectories. This random behaviour has a transient random nature and is very similar to the coin-throwing case in the classical theory of probability. The existence of the nonchaotic random behaviour not only can be derived from the theoretical analysis, but also is proved by the results of the simulated experiments in this paper.
中图分类号: (Nonlinear dynamics and chaos)