虚弱的混乱,异常的扩散,和弱的ergodicity打破系统与延迟
Tony Albers1, Lukas Hille1, David Müller-Bender1
1Chemnitz University of Technology, Institute of Physics, 09107 Chemnitz, Germany.
Physical review. E
|November 18, 2025
概括
标准延迟系统表现为弱混沌和低扩散. 延迟时间的定期调节通过改变系统动态诱导异常扩散和新的解决方案.
科学领域:
- 非线性动力学是一种非线性动力学.
- 复杂系统分析 复杂系统分析
- 混沌理论是一个混乱理论.
背景情况:
- 带有线性和非线性术语的标准延迟系统是复杂现象建模的基础.
- 了解延迟对系统行为的影响,包括混乱和扩散,至关重要.
- 之前的研究已经探索了延迟系统中的混乱和扩散,但特定的非线性和延迟调制需要进一步调查.
研究的目的:
- 为了研究弱混沌,亚扩散和ergodicity破裂在具有特定非线性标准延迟系统的出现.
- 分析大恒定延迟时间对可观测的异常行为的影响.
- 探索延迟的周期调制如何影响混乱动态,解决方案类型和异常扩散.
主要方法:
- 标准延迟系统的数学建模.
- 在不同的非线性条件下分析系统动态.
- 在大常量延迟的极限内研究系统行为.
- 应用周期调制来延迟时间.
- 混沌阶段的特征,溶液类型和扩散模式.
主要成果:
- 特定的非线性导致虚弱的混乱,非对称的亚扩散和弱的ergodicity破裂.
- 大量的恒定延迟可以掩盖由于长交叉时间导致的异常行为.
- 定期延迟调制显著减少混乱阶段的维度.
- 新的解决方案和异常扩散在短时间内出现,并有调节的延迟.
- 函数空间中的非超标固定点被确定为异常行为的原因.
结论:
- 选择非线性将极大地影响延迟系统的动态,导致弱混沌和次扩散.
- 延迟调制是控制异常扩散和系统复杂性的关键因素.
- 非超标固定点对于理解这些系统中的异常行为至关重要.
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