二维Duffing方程和一维Langevin方程的随机共振比较研究
首发时间:2013-06-08
摘要:对二维Duffing方程和一维Langevin方程的随机共振特性进行了比较研究,二者来源于布朗粒子运动方程在不同条件下的简化,由此得到基于布朗粒子运动的统一方程,讨论了由阻尼比确定的二维Duffing方程和一维Langevin方程的内在关联性,对比研究了二者随机共振的输出特性,对二维Duffing方程大强度噪声输入时的阻尼比参数调节随机共振机理从一维角度进行了解释,阐述如何针对不同应用条件选择合适的随机共振微弱信号检测模型,并给出实现相对最优检测的标准化模型。
关键词: 二维Duffing方程 一维Langevin方程 随机共振
For information in English, please click here
Comparison of the Stochastic Resonance Between Two-Dimensional Duffing Equation and One-Dimensional Langevin Equation
Abstract:The stochastic resonance (SR) characters of two-dimensional Duffing equation (TDDE) and one-dimensional Langevin equation (ODLE) are comparatively studied in this paper. Both equations are simplifications of the Brownian particle motion equation under different conditions. Thus, a universal equation (UE) based on the Brownian particle motion is presented. According to the damping ratio, we discuss the inter-relationship between TDDE and ODLE, and comparatively study the stochastic resonance output characters of the two equations. For the damping ratio parameter adjustment SR of TDDE under large-intensity noise input, we explain its mechanism from the perspective of the one-dimensional equation. We also describe how to choose a better stochastic resonance model for weak signal detection, and give out a normalized model equation which can achieve optimal detection.
Keywords: two-dimensional Duffing equation one-dimensional Langevin equation stochastic resonance
论文图表:
引用
No.****
同行评议
共计0人参与
勘误表
二维Duffing方程和一维Langevin方程的随机共振比较研究
评论
全部评论0/1000