一类三维混沌系统的音叉分岔分析

摘要

运用一维中心流形理论对一类新的类Chen混沌系统的音叉分岔进行了分析和研究，得到了一些分岔产生的条件。最后给出数值模拟，对文中结果进行验证。%By one⁃dimension local center manifold theorem,the pitchfork bifurcation of a new Chen⁃like chaos system is considered. Some conditions are shown for the pitchfork bifurcation. At last,numerical simulation is given to verify the theretic results.