Analysis of thermostat models
Analysis of thermostat models
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DOI：
10.1017/s0956792597003240
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发表时间：
1997-10-01
影响因子：
1.9
通讯作者：
Zou, X
中科院分区：
文献类型：
--
作者：
Cahlon, B;Schmidt, D;Zou, X
我们提出了两个描述汽车恒温器动态行为的新模型，涉及具有滞后的时滞微分方程。通过延拓论证，得到了两种模型解的存在唯一性和正则性。我们建立了模型表现出固有振荡的充分条件。我们还提出了一种解的数值逼近算法，并给出了一些有代表性的数值模拟。这揭示了解的一个相当有趣的动力学行为。
We present two new models describing the dynamic behavior of an automotive thermostat, involving delay-differential equations with hysteresis. Existence, uniqueness, and regularity of the solutions for both models are obtained by a continuation argument. We establish sufficient conditions for the models to exhibit intrinsic oscillations. We also present an algorithm for numerical approximations of the solutions and give some representative numerical simulations. These reveal a rather interesting dynamical behavior of the solutions.