搜索结果: 1-15 共查到“知识库 非线性偏微分方程”相关记录312条 . 查询时间(3.322 秒)
非线性轴向运动梁的边界稳定性判据
非线性 轴向运动梁 边界稳定性 判据
2023/1/4
This paper deals with, in the framework of absolute stability, boundary stabilization for a nonlinear axially moving beam under boundary velocity feedback controls. The nonlinear boundary control that...
非线性不确定系统PID控制的理论基础
非线性 不确定系统 PID控制 理论基础
2023/1/5
As is well-known, the classical PID control plays a dominating role in various control loops of industrial processes. However, a theory that can explain the rationale why the linear PID can successful...
This paper is concerned with the numerical solution of the Maxwell–Schrodinger system under the temporal gauge, which describes light–matter interactions. We first propose a semidiscrete finite elemen...
分数阶非线性Schrodinger方程的守恒算法
分数阶非线性Schrodinger方程 谱方法 守恒律 收敛性 数值实验
2022/3/11
利用傅里叶谱方法对空间分数阶非线性Schrodinger方程进行数值求解，并证明该格式保持了能量和质量的守恒性且无条件稳定。该方法在空间方向具有谱精度，在时间方向具有二阶精度。还对该格式进行误差分析及收敛性分析。最后通过数值实验验证了该算法的守恒性、准确性和有效性。
研究时滞线性耦合不连续神经网络的同步控制问题。运用李雅普诺夫稳定性理论和微分方程比较定理，提出一种基于间歇性和滞后效应策略的控制器，获得时滞线性耦合不连续神经网络的同步准则。最后进行数值模拟，从而验证所得理论结果的有效性。
The Poisson–Nernst–Planck (PNP) equations describe the dynamics of charged particles in an electric field that is also affected by these particles and have been used to model physical systems involvin...
具波动算子非线性Schrodinger方程线性化差分格式
非线性Schrodinger方程 波动算子 收敛性 稳定性 线性化格式
2022/3/18
构造了具波动算子的非线性Schrodinger方程的一种线性化差分格式。即在守恒非线性差分格式的基础上，利用Taylor方法展开非线性项，引入小参数ε得到该方程的线性化差分格式。利用Fourier方法证明了其格式的收敛性和稳定性。最后通过数值例子验证了该方法的可信性和有效性。
通过修正的Camassa-Holm（modifiedCamassa-Holm，mCH）方程的可积推广，推导出带自相容源的修正Camassa-Holm方程（modifiedCamassa-Holmequationwithself-consistentsources，mCHESCS）及其相应的Lax对。构造出该带源方程的无穷守恒律及其互反变换。基于mCHESCS的互反变换，求出mCHESCS的一些新解...
Robin边界条件下更一般化的非线性抛物问题全局解的存在性
爆破 抛物方程 Robin边界条件 全局解
2019/4/17
本文主要研究了Robin边界条件下更一般化的非线性抛物问题解的爆破现象以及全局解的存在性.通过对问题中的已知函数进行适当的假设，建立适当的辅助函数，应用微分不等式技术，当问题的解发生爆破时得到了解的爆破时间的下界.这种类型的下界在物理学、生物学、天文学等领域有着广泛的应用.同时，也推导了问题的解全局存在的条件.
一类2n阶非线性奇异边值问题的对称正解
奇异边值问题 对称正解 极值点
2018/10/8
考虑一类2n阶非线性奇异边值问题.应用不动点定理,在非线性条件下给出合适的条件并获得对称正解.将一些最近的结果进行扩展和改进.此外,还给出了一个示例来演示新的结果.
Dissipative behavior of some fully non-linear KdV-type equations
KdV-type equations Finite-difference methods Nonlinear dynamics
2015/10/8
The KdV equation can be considered as a special case of the general equationutCf .u/x−g.uxx/x D 0;> 0;wheref is
non-linear andg is linear, namelyf .u/ D u2=2 andg.v/ D v. As the parameter t...
Compactons in a Class of Nonlinearly Quintic Equations
Five nonlinear dispersion equation and linear equation the line the numerical simulation
2015/10/8
We introduce a nonlinear dispersive quintic equation. Its travelling waves are governed by a linear equation. We construct a large variety of explicit compact solitary waves with one or many humps. So...
AVERAGING OF HAMILTONIAN FLOWS WITH AN ERGODIC COMPONENT
ERGODIC COMPONENT Unperturbed flow
2015/9/29
We consider a process on T2, which consists of fast motion along the
stream lines of an incompressible periodic vector field perturbed by white
noise. It gives rise to a process on the graph n...
Consider a point mass falling vertically on an infinitely heavy
horizontal plate which oscillates periodically with period 2π in the vertical direction
and interacts with the particle by the l...
Nonlinear Dynamics and Chaos: Where do we go from here?
Dynamics and Chaos Colston conference
2015/8/25
In keeping with the spirit of the Colston conference on Nonlinear Dynam-
ics and Chaos, this chapter emphasizes ideas more than details, describing
my vision of how the bifurcation theory of multipl...