Research on Gait Control of CPG Based on Nonlinear Oscillator 非线性振子的CPG步态控制方法研究
Bifurcation of safe basins in nonlinear oscillator under bounded noise excitation 有界随机噪声激励下非线性系统的安全盆分叉
By using the adaptive backstepping approach, the non-periodic oscillating signal is transformed into the periodic one, global stability of the closed-loop system is guaranteed. Meanwhile, the output of the nonlinear oscillator asymptotically tracks an arbitrarily given reference signal. 利用自适应反推方法将非周期性振荡信号变为周期性振荡信号,保证了闭环系统的全局稳定性,同时非线性振荡器的输出渐近跟踪任意给定的参考信号。
Adaptive Backstepping Control for Nonlinear Oscillator 非线性振荡器的自适应反推控制
Degenerate Bifurcations of Codimension Two in Nonlinear Oscillator for 1/ 2 Subharmonics Resonance-Primary Parametric Resonance 1/2亚谐共振&主参数共振情况下非线性振动系统的余维2退化分叉
Crises and transient chaos in a forced nonlinear Mathieu oscillator 非线性强迫Mathieu方程的激变和瞬态混沌
The mathematical essence of damped oscillation is researched with the qualitative theory of differential equation from the odd characters of the plane autonomous system. Chaotic Control of a Nonlinear Oscillator Using Sampled Data 用微分方程定性理论,从平面自治系统奇点的性态角度出发分析了阻尼振荡的数学本质。基于采样数据的非线性阻尼振荡器的混沌控制研究
This paper is an effort to probe into the complex dynamics behaviors of a class of nonlinear electrical oscillator described by Duffing equation. The influence on the global dynamics behaviors by the change of the parameters of Duffing equation with force excitation was investigated. 通过Duffing方程研究了一类非线性振荡电路中的复杂动力学行为,分析了带有激振力的Duffing方程在参数改变时对系统动力学行为的影响。
For a coupled nonlinear oscillator system with diffusion and gradient couplings, spatial Fourier transformation is performed and the dynamic equations of various space modes are derived. 对于一类同时存在扩散耦合和梯度耦合的非线性振子系统,通过空间傅里叶变换,得到具有不同波矢的各运动模式的相互独立的运动方程。
Heart has the properties of a nonlinear oscillator network consisting of different oscillators and can generate complex beating rhythms. 心脏的节律是复杂的、非线性的;
Superharmonic resonance arisen in the nonlinear oscillator of simply supported rectangular thin plate subjected to a harmonic parametric excitation is investigated by theoretical analysis and experiments in the present work. 分析研究参数激励简支矩形薄板非线性振动中的超谐振动。
The problem of adaptive backstepping control for the nonlinear oscillator is considered in this paper. 考虑了非线性振荡器的自适应反推控制问题。
The mathematic model was a nonlinear oscillator driven by wave exciting force while the restoring force was exponential. 系泊运动的数学模型是一个具有指数回复力特性的非线性强迫振子,以波浪作用力为外激励。
Dynamical behavior of nonlinear oscillator under combined parametric and forcing excitation, which includes van der Pol damping, is very complex. 在参数激励与强迫激励联合作用下具有vanderpol阻尼的非线性振动系统,其动态行为是非常复杂的。
In this paper, we use normal form theory and universal unfolding theory of the degenerate vector field to study degenerate bifurcations of codimension two in nonlinear oscillator under combined parametric and forcing excitation. The existence of global bifurcation is discussed by using Melnikov's method. 本文应用NormalForm理论和退化向量场的普适开折理论研究了参数激励与强迫激励联合作用下非线性振动系统的余维2退化分叉,用Melnikov方法讨论了全局分叉的存在性。
An approximate analytical method is presented for determining the first passage probability of both the stationary and nonstationary envelope response of a lightly damped and weakly nonlinear oscillator excited by stationary wide-band stochastic process. 本文提出了一种计算微阻尼、弱非线性体系受平稳宽频带随机过程干扰时,平稳和非平稳包络反应首通概率的近似解析方法。
Hopf bifurcation from synchronous chaos and its circuit simulation in a coupled nonlinear oscillator system 一类耦合非线性振子同步混沌Hopf分岔及其电路仿真
The example shows that the bifurcation condition of single degree of freedom nonlinear oscillator can indicates the motional behavior of nonlinear flutter system. 算例表明,单自由度非线性振子的分叉条件能够预示非线性颤振系统的运动规律。
Chaotic Motions Induced by Bounded Noise in a Nonlinear Oscillator 一类非线性振子中有界噪声诱发的混沌运动
A New Algorithm for Analysis of Nonlinear Oscillator with Many Nonlinear Elements Using Volterra Series 一种用Volterra级数分析含多个非线性元件振荡电路的新方法
A New Method for the Determination of Frequency and Amplitude Sensitivities in Nonlinear Oscillator 一种分析非线性振荡器频率及振幅灵敏度的新方法
Chaotic Control of a Nonlinear Oscillator Using Sampled Data 基于采样数据的非线性阻尼振荡器的混沌控制研究
Feedback Control of Chaotic Motion of a Nonlinear Oscillator 一类非线性振子混沌运动的反馈控制
Degenerate bifurcations of codimension two in nonlinear oscillator under combined parametric and forcing excitation 参数激励与强迫激励联合作用下非线性振动系统的余维2退化分叉
So, these two methods are limited by small parameter when they are applied to quadratic nonlinear oscillator. 因此,这两种方法在平方非线性振动方程中的应用受到小参数的限制。
Asymptotic solution of a quadratic nonlinear oscillator and numerical verification 平方非线性振动方程的渐近解及其数值验证
By using an inductive coupling transistor oscillator as an example, a simple model for the nonlinear oscillator, the Van del pol equation, is derived. 用电感耦合晶体管振荡电路作为例子推导出非线性振荡器的简化数学模型,即范德波尔方程。
Chapter three studies the prinple resonant response of a strongly nonlinear Duffing-Rayleigh oscillator to additive random narrow-band excitation. 第三章研究了窄带随机噪声外激下强非线性Duffing-Rayleigh振子的主共振响应。
An over-damped nonlinear Duffing oscillator driven by a periodic force and a Gaussian white noise is studied. 基于等价线性化方法,研究了周期力与高斯白噪声作用下,二阶过阻尼非线性杜芬(Duffing)振荡器的非单调行为。
It has provided a easy and feasible mathematical way for the coupled nonlinear oscillator systems model to study the various emergent behaviors in nature. 耦合非线性振子系统模型为自然界中的各种涌现行为的研究提供了一个简便而且可行的数学途径。