非线性系统的长期规则运动除了平衡点和周期解以外,概周期解,或有时表现为拟周期解也是一种长期规则运动。
Besides the equilibrium and periodic solution, the almost periodic solution, which sometimes appears as quasi-periodic solution, is also a long term regular motion of nonlinear system.
当系统发生粘滑运动时,系统响应随激励速度、系统刚度及阻尼的变化而呈周期、拟周期及混沌运动交替变化的形式。
When system is in stick-slip motion, the system response can be periodic, quasi-periodic and chaos with the change of pulling velocities, system stiffness and viscous.
转子转速与不平衡量被用来作为控制参数以研究进入和离开混沌区域的各种路径以及系统的各种形式的周期、拟周期与混沌运动。
Rotating speed and unbalance are used as control parameters to investigate routes to and out of chaos, and various forms of periodic, quasiperiodic and chaotic vibrations of the system.
研究结果发现,组合共振区域内发生两种不同的拟周期运动和组合周期运动,而且第一振型次谐波共振曲线延伸到组合共振区域。
The results obtained show that several motions may occur in the region of combination resonance, including two kinds of quasi-periodic vibrations and combined periodic motion.
数值结果展现了系统具有周期、拟周期、多解共存、跳跃、瞬态混沌等丰富复杂的非线性现象。
The numerical results reveal periodic, quasi-periodic, co-existing solutions, jumped, transient chaos of rich and complex nonlinear behaviors of the system.
由结果发现:响应进入混沌的道路有拟周期环面破裂、周期3运动失稳和阵发性混沌进入混沌三条。
The response results show that there are three ways leading to chaos: quasi-periodic bifurcation, intermittent bifurcation and unstable period-3 motion.
应用油藏数值摸拟方法,研究了各种地质、开发因素对周期注水效果的影响。
By using numerical reservoir simulation, the effects of various geologic and developmental factors for a cyclic flooding is studied.
裂纹转子轴刚度变化对油膜失稳点及油膜失稳之后转子的运动影响不大,转子系统作拟周期运动。
Stiffness change has little effect on the critical instability and motion of the cracked-rotor, and the system motion is quasi-period motion.
研究发现,系统响应具有两条通向混沌的道路,即阵发性通向混沌的道路和拟周期通向混沌的道路。
It is found that there are two routes leading the response to chaos, the intermittence to chaos and quasi-period to ch aos.
系统响应通向阵发性混沌的道路有通过拟周期响应,也有通过周期响应进入,且响应在进入阵发性混沌区前一般都有幅值增大的现象;
The response routes to chaos are generally from period or quasi period to intermittent chaos. The response amplitude will increase before chaos beginning.
应用小波分析研究了外循环反应器浓度波这类非平稳拟周期信号的特征。
The characteristic of the concentration wave in the RTD of out-circular reactor, which is a nonstationary quasi-periodic signal, has been investigated with wavelet analysis.
本文主要讨论几类非线性方程的(拟)概周期解和(渐近)概自守解的存在性。
In this thesis, we discuss mainly the existence of (pseudo) almost periodic solutions and (asymptotically) almost automorphic solutions for some nonlinear equations.
基于微分修正算法给出了一种简单的拟周期轨道保持控制方法,数值仿真表明该方法具有较高的控制效率。
A simple station keeping control algorithm is given based on differential corrections, and numerical simulation shows that the algorithm is very effective.
非线性动力学系统中由拟周期运动走向混沌的道路在理论上已为人们所公认。
The route of transition from quasi-periodicity to chaotic motion in nonlinear dynamical systems has been well accepted theoretically.
通过系统响应的时域波形图、幅值谱图、相轨迹图,分析了曲轴轴系的周期、拟周期、混沌等复杂的非线性动力学现象。
The effects of nonlinear damp and rotational speeds on response characteristics of crankshaft system of diesel engine were studied by using numerical integral method.
分析表明,系统除了具有各种形式的周期运动、拟周期运动外,还具有丰富的混沌运动与分叉现象。
The equations are calculated numerically and the results are analyzed. The results reveal that the system possesses varied chaotic motions and bifurcation phenome…
分析表明,系统除了具有各种形式的周期运动、拟周期运动外,还具有丰富的混沌运动与分叉现象。
The equations are calculated numerically and the results are analyzed. The results reveal that the system possesses varied chaotic motions and bifurcation phenome…
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