A New Feigenbaum-Like Chaotic 3D System

作者:Zhao, Huitao; Lin, Yiping*; Dai, Yunxian
来源:Discrete Dynamics in Nature and Society, 2014, 2014: 328143.
DOI:10.1155/2014/328143

摘要

Based on Sprott N system, a new three-dimensional autonomous system is reported. It is demonstrated to be chaotic in the sense of having positive largest Lyapunov exponent and fractional dimension. To further understand the complex dynamics of the system, some basic properties such as Lyapunov exponents, bifurcation diagram, Poincare mapping, and period-doubling route to chaos are analyzed with careful numerical simulations. The obtained results also show that the period-doubling sequence of bifurcations leads to a Feigenbaum-like strange attractor.