多稳态系统是指同时有两个以上吸引子共存的非线性系统，广泛存在于各个领域，如生命科学、生态系统、航空航天等。因系统内部或外部因素不确定性，这使系统往往受到加性和乘性随机激励的影响。因此，随机诱导系统行为的本质变化逐步引起人们的重视。尽管在理论研究方面取得了丰富的成果，但极少有实验工作的支持，成为该领域研究的关键瓶颈问题。本项目拟针对稳定平衡点和极限环共存的多稳态情况，设计并搭建非光滑多稳态系统的随机动力学实验电路，开展物理白噪声激励下以及色噪声激励下多稳态系统随机P分岔实验研究，探索随机P分岔新现象。为工程多稳态的随机动力学实验和平台设计积累经验。

Multi-stable system refers to the nonlinear system with more than two coexisted attractors, which widely exists in various fields, such as life sciences, ecological systems, aerospace and so on. Due to internal or external factors of uncertainty, the system is often influenced by additive and multiplicative random excitation. Therefore, the significant changes of the system’s behavior induced by noise have attracted people's attention gradually. Although abundant achievements have been made in theory, there is little experimental support for the work, which has become a key problem in the research field. The project intends to investigate experimentally the randomly excited system with multiple coexisted attractors, like equilibrium point and limit cycle. Firstly, an electrical circuit will be designed and built up, whose mathematical model is a non-smooth multi-stable system due to the saturation of its electronic components. Then the stochastic P-bifurcation of the multi-stable system under the physical white noise or colored noise excitation will be explored based on the probability density of the steady state response obtained by more than one million repeated tests. After completion, it will provide guides to design experimental platforms for randomly excited systems with engineering background.