Hopf bifurcation phenomenon in catalytic reaction

In this paper, we intend to discuss Hopf bifurcation phenomenon under the effect of the periodic small perturbation on local temperature fluctuations (flikering) phenomenon of catalytic reaction. With the obtained results, we expect to provide basis for selecting reaction parameters.     

THE RELAXATIONAL OSCILLATION SOLUYION FOR FITZHUGH'S NERVE CONDUCTION EQUATION

By using the matching asymptotic method, we calculated the analytic expression of relaxational osillation sochition for Fitznugr’s nerve conduction equation, oscillation period and the parametric region in which the relaxational oscillation occurs.     

Fitzhugh神经传导方程的张弛振动解

本文用匹配渐近法,计算了Fitzhugh神经传导方程张弛振动解的解析表达式、振动周期,给出了产生张弛振动的参数区域.     

催化反应中的浑沌现象

本文用Melnikov方法,讨论了一类描述化学反应器和催化金属丝(网)的温度颤振(Flickering)现象的控制方程。通过数学分析指出这类系统所描述的颤振现象中含有浑沌性态。     

HOPF BIFURCATION PHENOMENON IN CATALYTIC REACTION

In this paper, we intend to discuss Hopf bifurcation phenomenon under the effect of the periodic small perturbation on local temperature fluctuations (flikering) phenomenon of catalytic reaction. With the obtained results, we expect to provide basis for selecting reaction parameters.     

稳定位相法——高阶临界点的情形

本文计算含大参数λ的振荡积分 I=integral from (e~(iλf(x))φ(X)dx) 在位相函数具任意阶临界点时的渐近展开式,从而推广了[1]～[4]中的有关结果。 §1 一维情形 设[a,b]为紧区间,f(x)仅在(a,b)中有有限个临界点x_1,x_2,…,x_m,阶数分别为k_1,k_2,…,k_m(k_j≥2),即。又设f(x)可延拓成复平面上包含实轴线段[a,b]的一个单连通区域中的正则函数。以下x,u表实变量,z、w表相应的复变量。     

具有参数及受迫激励的二阶系统的次谐波与混沌解

具有受迫激励的二阶非线性振子由次谐波分叉导致混沌,已有许多文献讨论过。而具有脉冲非线性参数激励的二阶系统的次谐分叉现象曾由徐皆苏等作过系统讨论。本文则讨论在实际中更有价值的两种激励同时作用的二阶系统     

CHAOTIC PHENOMENON IN CATALYTIC REACTION

In this paper,Melnikov’s method is used to discuss a kind of equationgoverned by flickering on catalytic wires(gauzes) and in chemical reactor.Byanalysis on mathematics,we point out flickering phenomenon described by thiskind of system has chaotic behavior.     

THE RELAXATIONAL OSCILLATION SOLUTION FOR FITZHUGH’S NERVE CONDUCTION EQUATION

By using the matching asymptotic method, we calculated the analytic expression ofrelaxational osillation sochution for’Fitzhugr’s nerve conduction equation,oscillationperiod and the parametric region in which the relaxational oscillation occurs.     

催化反应中的Hopf分岔现象

本文讨论催化反应的局部温度波动(Flickering)现象中的Hopf分岔点受周期小扰动的影响。得到的结果可望为反应参数的选择提供依据。