Local bifurcation set was found in the parameter space according to the classifications of the dynamic responses of the moored ship model.
对系统的动力学行为进行了定性分类，据此在参数空间中给出了局部分岔集。
This paper evolves the measure of the system parameter corresponding to the bifurcation point (set) in parameter space and sets up the mathematical expression formula of the potential of accident.
在参量空间，论文以分岔点(集)为参照导出对系统参量的度量，建立事故潜势的数学表达式。
The failure forms of rock materials in axisymmetric compression are studied based on the discontinuous bifurcation theory, and a set of experimental data of marbles are simulated.
采用不连续分叉理论，分析了轴对称状态下岩石材料的破坏形式，并采用一组大理岩的实验结果进行了模拟计算。
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 transition set and the bifurcation figures of the nonlinear systems have been achieved by the singularity theory.
第五章用规范形理论求出了非线性系统的分岔响应方程，用奇异性理论得到了系统的转迁集和分岔图。
The transition set and the bifurcation figures of the nonlinear systems have been achieved by the singularity theory.
第五章用规范形理论求出了非线性系统的分岔响应方程，用奇异性理论得到了系统的转迁集和分岔图。
应用推荐