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乘性二次噪声驱动的线性过阻尼振子的随机共振

张路 钟苏川 彭皓 罗懋康

物理学报2012,Vol.61Issue(13):43-49,7.
物理学报2012,Vol.61Issue(13):43-49,7.

乘性二次噪声驱动的线性过阻尼振子的随机共振

Stochastic resonance in an over-damped linear oscillator driven by multiplicative quadratic noise

张路 1钟苏川 2彭皓 2罗懋康2

作者信息

  • 1. 四川大学数学学院,成都610065 电子信息控制重点实验室,成都610036
  • 2. 四川大学数学学院,成都610065
  • 折叠

摘要

Abstract

For an over-damped linear oscillator driven by mnltiplicative quadratic noise and periodic modulated noise, the exact analytical expressions of the first two moments, the amplitude and variance of the system steady-state response are obtained. We find that this system has richer dynamic behaviors than the traditional linear systems driven by linear noise; when the coefficients of the quadratic noise satisfy certain conditions, both the amplitude and the variance of the system steady-state response present stochastic resonance.

关键词

随机共振/乘性噪声/二次噪声/周期调制噪声

Key words

stochastic resonance/multiplicative noise/quadratic noise/periodic modulated noise

分类

数理科学

引用本文复制引用

张路,钟苏川,彭皓,罗懋康..乘性二次噪声驱动的线性过阻尼振子的随机共振[J].物理学报,2012,61(13):43-49,7.

基金项目

国家自然科学基金 ()

教育部长江学者和创新团队发展计划(批准号:IRTO0742)资助的课题 ()

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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