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subharmonic orbit
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  相似匹配句对
     Heteroclinic Orbit and Subharmonic Bifurcations and Chaos of Nonlinear Oscillator
     非线性振动系统的异宿轨道分叉、次谐分叉和混沌
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     On the Orbit Stability
     再谈轨道的稳定性
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     ORBIT OF LIGHT
     光的轨迹
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     The subharmonic functions in H~p space
     关于H~P空间中的次调和函数
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     Superior subharmonic function
     上次调和函数
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Appliying Melnikov's method we analytically analysise the nonlinear circuit differential system. Following the principle of the existence of the transverse homoclinic pointws. We get the theshold of chaos under the meaning provided by Smale horseshoe, and the condition under which the system arises solutions of subharmonic orbits whose periods are mT. The theoretical results are in good agreement with that from experiments.

应用Melnikov方法,对非线性电路微分系统进行解析分析,根据横截同宿点存在原理,求出Smale马蹄意义下的混沌的阈值;给出系统出现周期为mT的次谐波解的条件.所得结果同实验符合得很好.

In this paper the dynamics response of beams subjected to transverse harmonic excitation is studied. The nonlinearity of constitutive relations of the beam material is considered. When the buckled beams compressed by axial forces are subjected to transverse period perturbation, the harmonic bifurcates into subharmonic and ultra_subharmonic sequences. The critical conditions for subharmonic and ultra_subharmonic orbits are determined by use of Melnikov method.

本文研究受横向周期载荷作用的梁的动力响应,梁的本构关系具有三次非线性项· 轴向载荷作用下已屈曲的梁受到横向激励后,谐波是不稳定的,将分叉出次谐波、超次谐波,以Melnikov法确定了次谐轨道、超次谐轨道产生的条件·

Melnikov method is employed to study the bifurcations and chaos of homoclinic and subharmonic orbits for two pendulum systems. One is with weak damping and parametric excitation and the other is inverted with external driving. The parameter conditions for occurence of bifurcations and chaos are obtained. The analytical results are compared with the experimental ones and some implications are also discussed.

用Melnikov方法研究具有弱阻尼与参数激励的单摆以及倒摆运动的同宿轨道分岔、次谐分岔和混沌现象 ,得到了发生同宿轨道分岔、次谐分岔和混沌的临界参数 ,并将所得理论结果与倒摆运动的实验结果进行了比较与讨论 .

 
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