将高维混沌理论应用到中国证券市场的分析之中,指出了当前许多文献中计算中国证券市场混沌特征指数出现较大差异的原因.通过比较上证综合指数与英国M organ S tan ley C ap ita l In ternationa l指数后指出,中国证券市场较复杂,且存在...将高维混沌理论应用到中国证券市场的分析之中,指出了当前许多文献中计算中国证券市场混沌特征指数出现较大差异的原因.通过比较上证综合指数与英国M organ S tan ley C ap ita l In ternationa l指数后指出,中国证券市场较复杂,且存在较多的高维(接近四维)混沌成分.展开更多
Phase is an important degree of freedom in studies of chaotic oscillations. Phase coherence and localization in coupled chaotic elements are studied. It is shown that phase desynchronization is a key mechanism respons...Phase is an important degree of freedom in studies of chaotic oscillations. Phase coherence and localization in coupled chaotic elements are studied. It is shown that phase desynchronization is a key mechanism responsible for the transitions from low- to high-dimensional chaos. The route from low-dimensional chaos to high-dimensional toroidal chaos is accompanied by a cascade of phase desynchronizations. Phase synchronization tree is adopted to exhibit the entrainment process. This bifurcation tree implies an intrinsic cascade of order embedded in irregular motions.展开更多
文摘Phase is an important degree of freedom in studies of chaotic oscillations. Phase coherence and localization in coupled chaotic elements are studied. It is shown that phase desynchronization is a key mechanism responsible for the transitions from low- to high-dimensional chaos. The route from low-dimensional chaos to high-dimensional toroidal chaos is accompanied by a cascade of phase desynchronizations. Phase synchronization tree is adopted to exhibit the entrainment process. This bifurcation tree implies an intrinsic cascade of order embedded in irregular motions.
