远跳在莱维噪声诱导的多模式性中的作用
Przemysław Pogorzelec1, Bartłomiej Dybiec2
1Doctoral School of Exact and Natural Sciences, Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland.
莱维噪声可以在系统中创建多个稳定的状态,但通过限制这种噪声特有的长跃可以破坏这种多模式性.
科学领域:
- 非线性动力学是一种非线性动力学.
- 统计物理学的统计物理.
- 随机过程是指随机的过程.
背景情况:
- 莱维噪声使系统失去平衡,导致与高斯白噪声相比具有独特的行为.
- 由莱维噪声驱动的潜在的静态状态往往表现出多模式性,与高斯噪声的单模式状态不同.
研究的目的:
- 在Lévy噪声下的四极电位中研究双模态的稳定性.
- 确定在哪些条件下可以削弱或摧毁多式联通.
主要方法:
- 对由莱维噪声驱动的四极电位的分析.
- 探索涉及限制莱维噪声固有的长跃的场景.
主要成果:
- 由莱维噪声驱动的四极电位中的双态性通常是强大的.
- 消除双模式需要大幅减少噪音诱导的跳跃的长度.
结论:
- 虽然由莱维噪声引起的多式联通性具有弹性,但它不是绝对的.
- 控制莱维噪声的特征,特别是跳跃长度,可以改变系统动态.
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