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混沌和振荡机制的自动检测

Automated detection of chaotic and oscillatory regimes
课程网址: http://videolectures.net/mlsb2010_silk_ado/  
主讲教师: Daniel Silk
开课单位: 伦敦帝国学院
开课时间: 2010-11-08
课程语种: 英语
中文简介:
定性参数估计算法是一类有前途但不发达的推理方法[1]。当只知道或需要指定系统的定性特征时,它们提供了推断参数的能力。在这里,我们采用无气味卡尔曼滤波器来识别产生理想李亚普诺夫谱的模型参数。这种新方法扩展了这些技术的范围,允许检测最复杂和最难以捉摸的动态行为。我们在三个ODE模型上演示了我们的方法,包括一个简单的HES1调节系统模型。
课程简介: Qualitative parameter estimation algorithms are a promising but underdeveloped class of inference methods [1]. They offer the ability to infer parameters when only qualitative features of the system are known or need to be specified. Here we adapt the unscented Kalman filter for identification of model parameters that give rise to a desired Lyapunov spectrum. This novel approach extends the reach of these techniques, allowing detection of the most complex and elusive dynamical behaviours. We demonstrate our method on three ODE models, including a simple model of the Hes1 regulatory system.
关 键 词: 定性参数估计算; 指数谱; 常微分方程; 监管系统模型
课程来源: 视频讲座网
最后编审: 2020-05-29:吴雨秋(课程编辑志愿者)
阅读次数: 49