不能预测的道在一个迟缓的可比化潜力.
Álvaro G López1, Rahil N Valani2
1Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933 Móstoles, Madrid, Spain.
Chaos (Woodbury, N.Y.)
|April 4, 2024
概括
我们发现了一种新的道效应,这种效应是在一个带有时间延迟反的湿化粒子系统中. 这种由危机引起的间歇性驱动的现象,导致潜在井之间不可预测的混乱过渡.
科学领域:
- 非线性动力学是一种非线性动力学.
- 复杂系统物理 复杂系统物理
背景情况:
- 研究双井潜力的粒子动态对于理解各种物理现象至关重要.
- 状态依赖的时间延迟反引入了动态系统中的复杂行为.
研究的目的:
- 为了研究在双井潜力中的一个受阻粒子的动态,与状态依赖的时间延迟反.
- 分析混乱过渡和道效应的出现.
- 描述潜在的机制,包括危机引起的间歇性和混乱的分散.
主要方法:
- 两叉分析以确定感兴趣的参数区域.
- 居住时间分布和缩放规律的计算.
- 调查第一次通行时间和不确定性维度.
- 计算最大的利亚普诺夫指数以评估动力学和稳定性.
主要成果:
- 观察到两种不同的吸引子 (极限周期或奇异吸引子) 的多稳定性.
- 鉴定了由于时间延迟反的增强而导致井间的混乱过渡,类似于道.
- 合理化了类似道效应的危机引起的间歇性.
- 在初始历史空间中发现了一个类似坎托尔的分数集,表明过度波动的混乱散射.
- 通过非整数不确定性维度证明不可预测的停留时间.
结论:
- 时间延迟的反可以在双井系统中诱导混乱的过渡和类似道的行为.
- 危机引起的间歇性是观察到的道效应背后的机制.
- 该系统表现出具有碎形性质的过度波动混乱散射的特征.
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