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Analysis of Stochastic Bifurcation in the Nonlinear Muscular Blood Vessel System

机译:非线性肌肉血管系统中随机分叉的分析

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Traditional linear method is, in our opinion, not satisfactory in solving the stochastic response and bifurcation of the intrinsically nonlinear muscular blood vessel system. So we propose nonlinear method and equivalent method of nonlinear differential equation Section 1 of the paper briefs the characteristics and analysis method of the nonlinear system. Section 2 explains in detail the mathematical model of equivalent method. And then stochastic response is discussed in section 3 based on the model mentioned above. The simulation given in figure 1 through 2 shows preliminarily that: the nonlinear model of the system was bui approximate analysis solution to the system's response was achieved; and the unstable P behaviors of the system were researched by numerical simulating. So It is significant to study stochastic response and forecast the potential coming forth phenomenon in this system under stochastic disturbance.
机译:我们认为,传统的线性方法在解决固有非线性肌肉血管系统的随机响应和分叉方面并不令人满意。因此,我们提出了非线性方法和非线性微分方程的等效方法。本文的第一部分简要介绍了非线性系统的特性和分析方法。第2节详细介绍了等效方法的数学模型。然后在第三部分中基于上述模型讨论了随机响应。图1至图2给出的仿真初步表明:建立了系统的非线性模型;获得了对系统响应的近似分析解决方案;通过数值模拟研究了系统的不稳定P特性。因此研究随机响应并预测系统在随机扰动下可能出现的现象具有重要意义。

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