High frequency forcing on nonlinear systems

High-frequency signals are pervasive in many science and engineering fields.In this work,the effect of high-frequency driving on general nonlinear systems is investigated,and an effective equation for slow motion is derived by extending the inertial approximation for the direct separation of fast and slow motions.Based on this theory,a high-frequency force can induce various phase transitions of a system by changing its amplitude and frequency.Numerical simulations on several nonlinear oscillator systems show a very good agreement with the theoretic results.These findings may shed light on our understanding of the dynamics of nonlinear systems subject to a periodic force.     

Phase—Locking in Coupled Chaotic Oscillators

The transition from the phase-unlocking state to the phase-locking state is found at the desynchronization of synchronous chaos of coupled oscillators.In the phase-locking case,the motions of all oscillators are chaotic and desynchronized,however spatial ordering is identified in their phase distribution.     

强耦合混沌系统中的近似同步

以单向驱动耦合Lorenz振子一维链为研究对象，研究振子间的混沌同步行为. 数值计算结果表明，对于变量y驱动x的耦合方式，在合适的耦合强度下，会出现第一个振子和第二个振子不同步，而与次近邻非直接连接的振子(如第三个振子)近似同步. 进一步研究表明，出现这一现象的原因是在大耦合强度下，对于这种驱动方式，第一个振子和第二个振子间出现驱动单变量近似同步；虽然它们之间未出现所有变量的完全同步，但是驱动信号事实上已经传递下去了. 关键词： Lorenz振子 混沌同步 近似同步     

电力电子化电力系统稳定的问题及挑战:以暂态稳定比较为例

随着电力电子技术的进步和环境保护对清洁能源的要求,以同步发电机为主的传统电力系统正向着多样化电力电子装备为主的电力系统转变,由此电力系统正面临着百年来未有之大变局.近年来,国内外不断报道出以电力电子装备为主的新能源基地和传统高压直流等机理不明的电力事故,严重威胁了电力系统安全稳定运行.针对上述问题,本文首先介绍传统电力系统暂态稳定分析的主要方法,接着分析了典型故障场景下简单电力电子化电力系统的动力学行为,并建立了同时包含电力电子设备与传统同步机的多机耦合系统模型,最后总结了电力电子化电力系统的非线性、多时标、复杂性的本质特点,归纳其暂态稳定的基本问题与挑战以及对未来研究方向的展望,希望引起复杂系统和统计物理背景的研究人员的广泛兴趣.     

Stationary patterns in a discrete bistable reaction--diffusion system: mode analysis

This paper theoretically analyses and studies stationary patterns in diffusively coupled bistable elements. Since these stationary patterns consist of two types of stationary mode structure: kink and pulse, a mode analysis method is proposed to approximate the solutions of these localized basic modes and to analyse their stabilities. Using this method, it reconstructs the whole stationary patterns. The cellular mode structures (kink and pulse) in bistable media fundamentally differ from stationary patterns in monostable media showing spatial periodicity induced by a diffusive Turing bifurcation.