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首页> 外文会议>System Dynamics Society International Conference; 20060723-27; Nijmegen(NL) >Verifying System Dynamics Simulation Results by Analytical Phase Plane Tools
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Verifying System Dynamics Simulation Results by Analytical Phase Plane Tools

机译：通过分析相平面工具验证系统动力学仿真结果

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摘要

System dynamic models are typically impossible to solve analytically and even hard to correctly simulate. This complexity is also true in equilibrium and stability analysis. This research deals with analytical and numerical phase plane analysis of such models. Example models chosen have no analytical time trajectory solutions; they are nonlinear and computationally stiff. In the study, two example models are analyzed; a prey-predator model and a competition model. Numerical phase plane constructions of these systems are first carried out. Then, analytical phase trajectories are obtained by using LambertW functions, implemented by Maple software. Numerical work is carried out by Stella simulation software, and by numerical algorithms in MAPLE. Comparisons between analytical and numerical phase trajectories are made and it is observed that significant discrepancies may exist. The study shows that, although analytical time trajectories are typically impossible to obtain, analytical phase trajectories offer important potential for system dynamics.
机译：系统动力学模型通常无法解析解决，甚至难以正确模拟。在平衡和稳定性分析中也是如此。这项研究涉及此类模型的解析和数值相平面分析。选择的示例模型没有分析时间轨迹解；它们是非线性的并且计算上很僵化。在研究中，分析了两个示例模型。捕食者-捕食者模型和竞争模型。首先进行这些系统的数值相平面构造。然后，通过使用由Maple软件实现的LambertW函数获得分析相轨迹。数值工作由Stella仿真软件和MAPLE中的数值算法完成。进行了分析和数字相位轨迹之间的比较，并观察到可能存在重大差异。研究表明，尽管通常无法获得分析时间轨迹，但分析相轨迹为系统动力学提供了重要的潜力。

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