本文研究了用与受迫力谐波共振的周期摄动抑制含二次非线性项受迫振动系统中的混沌。
In this paper, suppression of chaos in a forced vibration system with a square term by resonant periodic perturbations is studied.
用数值积分来计算长周期和长期摄动，而用经典分析解的表达式来计算短周期摄动，这是很有效的。
It is efficient to compute long-period and secular perturbations by numerical integration, but the classical analytic solution may be used to calculate the short-period perturbations.
运用分歧理论、固有值的解析摄动理论和渐近展开的方法，获得了共存时间周期解的存在性和稳定性。
The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.
本文用摄动方法求得了活塞行程的渐近周期解，且为周期性外力求出合理的周期。
This paper by use of perturbation method found asymptotic periodic solution of piston stroke, and found rational periodic for periodic external force.
本文用微分不等式证明了二阶奇摄动系统解的存在性、唯一性和周期性。
This paper proves the existence, uniqueness and periodic problem of the solution about second order singular perturbation system by using the differential inequality.
研究了一类含有迁移项的奇摄动抛物方程的周期解问题，给出了解的存在唯一性、渐近解及其余项估计。
The uniqueness of the solution is proved, and the asymptotic expansion of the solution and remainder estimation are also given.
对所得仿真数据利用求和取平均的方法去除摄动力产生的短周期效应，通过分析去短周期项后的数据揭示出逆行地球同步轨道的演变特点。
Numerical solutions are periodically summed and averaged to get rid of short-periodic-term effects. By analyzing polished data, its orbit characteristics are revealed to us.
对所得仿真数据利用求和取平均的方法去除摄动力产生的短周期效应，通过分析去短周期项后的数据揭示出逆行地球同步轨道的演变特点。
Numerical solutions are periodically summed and averaged to get rid of short-periodic-term effects. By analyzing polished data, its orbit characteristics are revealed to us.
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