SIAM Journal on Applied Dynamical Systems, Volume 19, Issue 3, Page 1865-1883, January 2020.
We study a thermomechanical system comprising an alpha Stirling engine and a flywheel from the perspective of dynamical systems theory. Thermodynamics establishes a static relation between the flywheel's angle and the forces exerted by the two power pistons that constitute the engine. Mechanics, in turn, provides a dynamic relation between the forces and the angle, ultimately leading to a closed dynamical model. We are interested in the different behaviors that the engine displays as the model parameters are varied. The temperature of the hot piston and the mechanical phase between both pistons constitute our bifurcation parameters. Considering that energy conversion in the engine can only take place through cyclic motions, we are particularly interested in the appearance of limit cycles.

中文翻译：

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斯特林发动机极限循环的灵敏度分析：分叉理论方法

SIAM应用动力系统杂志，第19卷，第3期，第1865-1883页，2020年1月。
我们从动力学系统理论的角度研究了一个热机械系统，该系统包括一个斯特林发动机和一个飞轮。热力学在飞轮的角度和构成发动机的两个动力活塞所施加的力之间建立了静态关系。力学又提供了力和角度之间的动态关系，最终导致了封闭的动力学模型。我们对模型参数变化时引擎显示的不同行为感兴趣。热活塞的温度和两个活塞之间的机械相构成了我们的分叉参数。考虑到发动机中的能量转换只能通过循环运动进行，因此我们对极限循环的出现特别感兴趣。