The system could undergo the period-doubling bifurcation, saddle-note bifurcation, symmetry-breaking bifurcation and so forth to chaos, as the control parameter was set on some certain intervals.
在一定的参数区域内，系统历经倍周期分岔、鞍结分岔、对称性破缺分岔等形式通向混沌。
The paper did a systematic and profound research in control of bifurcation and chaos based on mathematical theory, thus, set a theoretical foundation for its application in engineering projects.
论文运用数理理论对非线性动力系统的分岔和混沌的基础理论和控制进行了较为系统和深入的研究，为应用于工程实际奠定了理论基础。
The main contents in this course includes: qualitative theory in dynamical system, chaos and its numerical recognition, bifurcation theory, the synchronization and control of chaos.
本课程主要内容包括：动力学系统的定性理论，混沌及其数值识别，分岔理论，混沌的同步与控制。
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