中文摘要：

DC-DC变换器是开关电源的核心部分,在各个领域有着广泛的应用.电压模式控制Buck变换器和电流模式控制Boost变换器是电力电子的非线性研究中两种重要的研究对象,它们都有着非常广泛的应用.以这两种模式控制的开关变换器为研究对象,通过对它们进行建模、分析和实验等证实其中存在着丰富的动力学行为,如分岔和混沌等,为实际的电路系统的稳定设计提供了理论指导.

英文摘要：

DC-DC converters are the kernel parts in the switching power supplies. They are widely used in many fields. Buck converters and Boost converters under the control of current mode are the important family in the studying of the power electronics, which are widely used in a great many fields. There are proved This article abundant dynamical behaviors such as bifurcation, chaos and etc in them by modeling, analyses, and experiments. All the results which are very useful to the practical designation.