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近日，北京理工大学物理学院姚裕贵教授、周迪研究员团队，在《Nature Communications》发表题为 “Topological invariant and anomalous edge modes of strongly nonlinear systems” 的文章。团队通过数学推导，研究了广义强非线性系统，在非线性波中提出贝里相位的合理定义，并严格证明其量子化条件。作者通过理论计算和数...
多体系统高效动力学算法一直是多体系统动力学的重要研究方向. 近年来,众多高效算法虽然在提高解算效率方面取得了一定研究成果,但大多无法直接给出多体系统的显式动力学方程或解算系统约束力. 基于以上问题,研究了适用于任意树形多体系统动力学解算的约束力算法(constraint force algorithm, CFA) 及其串行化应用. 约束力算法可在解算多体系统动力学的过程中对系统约束力进行求解,该算...
周边桁架式可展开天线展开分析与控制
周边桁架式可展开天线 展开分析 控制 空间滑轮绳索系统
2014/4/9
提出了一种模拟周边桁架式可展开天线展开过程的系统化方法。详细考虑了桁架节点单元具体构造，尤其是过线滑轮参数对系统展开过程的影响，通过分析系统关键点和展开角度的运动学关系以及求解空间滑轮的公切线，提出了精确计算天线展开过程中驱动拉绳长度的方法。给出了天线展开速度与电机牵引拉绳的驱动速度之间的关系，通过控制电机牵引拉绳速度来控制天线的展开过程。数值算例校验了方法的可行性，该方法可应用于一般的空间滑轮绳...
基于纤维加强各向异性不可压超弹性复合材料两层厚壁圆筒模型，应用连续介质力学有限变形理论和非线性动力学理论，建立脉动压作用下动脉壁的动力学模型，考虑动脉壁中残余应力、平滑肌主动作用以及纤维分散的影响，通过数值计算得到动脉壁的时程曲线、频谱图、相图和庞加莱截面图及应力分布曲线，利用非线性动力学理论分析了动脉壁的动力学响应特性，讨论了脉动压大小和频率的影响.
Nonlinear dynamics of a coupled micro-ring resonator chain
Nonlinear dynamics coupled micro-ring resonator chain
2010/12/28
We study nonlinear wave phenomena in a coupled ring resonator optical waveguide in the tight coupling regime. The discrete nonlinear Bloch modes of the structure are derived. The switching behavior of...
Collective Phase Chaos in the Dynamics of Interacting Oscillator Ensembles
Oscillator populations Kuramoto transition hyperbolic chaos robust chaos
2010/12/28
We study chaotic behavior of order parameters in two coupled ensembles of selfsustained oscillators. Coupling within each of these ensembles is switched on and off alternately, while the mutual intera...
Transience in Dynamical Systems
Equilibrium states thermodynamic formalism transience interval maps
2010/12/6
We extend the theory of transience to general dynamical systems with no Markov structure assumed. This is linked to the theory of phase transitions. We also provide examples of new kinds of transient ...
Finite Time Singularities for Lagrangian Mean Curvature Flow
Finite Time Singularities Lagrangian Mean Curvature Flow
2010/11/30
Given a prime q and a negative discriminant D, the CM method constructs an elliptic curve E/Fq by obtaining a root of the Hilbert class polynomial HD(X) modulo q.
Momentum conservation in dissipationless reduced-fluid dynamics
Momentum conservation dissipationless reduced-fluid dynamics
2010/12/15
The momentum conservation law for general dissipationless reduced-fluid (e.g., gyrofluid) models is derived by Noether method from a variational principle. The reduced-fluid momentum density and the r...
Integrable (2+1)-dimensional systems of hydrodynamic type
dispersionless integrable system hydrodynamic reduction system of Gibbons–Tsarev type
2010/12/15
We describe the results that have so far been obtained in the classifica-tion problem for integrable (2+1)-dimensional systems of hydrodynamic type.
On the thermodynamics of classical micro-canonical systems
thermodynamics classical micro-canonical systems
2010/12/15
We study the configurational probability distribution of a mono-atomic gas with a finite number of particles N in the micro-canonical ensemble. We give two arguments why the thermodynamic entropy of t...