正负反馈交替论模型及应用

Model of alternate positive negative feedbackics and its applications

针对一些系统状态呈现"平稳→剧变→再平稳→再剧变"的演变规律,提出了正负反馈交替论的动态数学模型及其建模方法.该正负反馈交替论模型引入等效正负反馈,根据数据的变化剧烈程度,将状态稳定性分离,用叠加多个死区函数来反映系统状态在不同剧变期由于能量爆发造成的正反馈作用,能够在无需系统内在机理的情况下,建立系统的动力学方程.最后,以状态变化具有典型"平稳→剧变→再平稳→再剧变"过程的时间序列为例,进行仿真,结果表明了方法的有效性.

To solve the problem that the state of some systems changes from stabilization to revulsion and then to re-stabilization and to re-revulsion, a dynamic mathematical model based on the ideas of alternate positive negative feedbackics and its modeling method are proposed. The equivalent positive and negative feedbacks are introduced into the model, and the state stability is divided according to the severity of data change. The superposition of multiple dead zone functions is used to reflect the positive feedback effect caused by the outbreak of energy in different periods of rapid change. The dynamics equation can be established without the internal mechanism of the system. Finally, some time series whose changes are of the typical characteristics of stabilization to revulsion and then to re-stabilization and to re-revulsion are taken as examples, and the results show the effectiveness of the model..