混沌是发生在确定性非线性动力学系统中的一种内在随机运动。
Chaos is an inner stochastic motion happening in fixed non-linear dynamics system.
因此，利用非线性随机动力学理论和方法对“细胞内钙离子振荡系统的噪声效应：相干共振”进行研究具有十分重要的生物学意义。
Thus, based on nonlinear theory and method, the study on the effect of the noise on coherence resonance in a calcium oscillations system is significant in biology.
建立了飞机在随机跑道激励下，考虑机身俯仰运动与弹性振动的非线性随机动力学模型。
A nonlinear stochastic dynamic model is established which takes into consideration aircraft body pitch movements and the elastic vibration excited by the random runway.
同时发现动力学系统中的非线性函数项（或非线性元件）能够发生跳跃随机性和产生跳跃随机曲线，以使电路的状态轨迹达到与约束方程相容的状态。
The analysis also shows that the nonlinear terms in the dynamic system equations cause the stochastic state to jump so that the circuit state can reach compatibility with the constraint equations.
为了研究动力学系统和混沌中产生的跳跃随机性，利用能量平衡原理分析了二阶非线性电路的退化方程。
Chaos related discontinuity jumps in nonlinear dynamic systems were analyzed using a second order nonlinear circuit model and degenerative equations based on the energy balance principle.
考虑地震作用和结构参数的随机性，建立了钢筋砼结构药非线性随机动力学模型。
A nonlinear random dynamic mode with stochastic variations of seismic action and structural parameters is constructed.
基于概率理论和非线性动力学方法研究随机横浪中甲板上浪船舶的随机跳跃。
The random jumping of ships with water on deck in random beam waves is studied based on the probability theory and nonlinear dynamic method.
建立了四自由度车辆悬挂系统的动力学模型，并应用非线性随机振动理论，在对模型输入进行过滤白噪声简化的基础上，探讨了用FPK法解方程的可能途径。
A 4d dynamic model has been established for the vehicle suspension system. No-linear random vibration theory is used to discuss how to solve this equation by FPK based on filtered white noise input.
以轴向基础窄带随机激励悬臂梁非线性动力学方程组为分析对象，采用多尺度法，获得了系统主参激共振的非线性调谐方程组。
The method of multiple scales was used to solve directly the nonlinear differential equations and to derive the nonlinear modulation equation for the principal parametric resonance.
以轴向基础窄带随机激励悬臂梁非线性动力学方程组为分析对象，采用多尺度法，获得了系统主参激共振的非线性调谐方程组。
The method of multiple scales was used to solve directly the nonlinear differential equations and to derive the nonlinear modulation equation for the principal parametric resonance.
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