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在相互合的非相同的混沌振荡器中确定信息流的净方向
Anupam Ghosh1, X San Liang2,3, Pouya Manshour1
1Department of Complex Systems, Institute of Computer Science of the Czech Academy of Sciences, Prague 18200, Czech Republic.
Chaos (Woodbury, N.Y.)
|February 2, 2026
概括
在合的混乱振荡器中,信息主要从具有更高"混乱度" (最大Lyapunov指数) 的系统流向具有较低程度的系统. 这一发现甚至适用于具有不同动态的振荡器.
科学领域:
- 非线性动力学是一种非线性动力学.
- 信息理论 信息理论
- 复杂的系统复杂的系统.
背景情况:
- 偶联的混乱振荡器对于理解复杂系统至关重要.
- 确定这些系统中的信息流的方向至关重要,但具有挑战性.
- 现有的方法通常依赖于特定的模型假设.
研究的目的:
- 为了研究相互合的非相同的混沌振荡器之间的净信息流的方向.
- 建立一个管理信息传输的一般原则,基于个别振荡器固有的混乱性.
- 为了验证各种合振荡器配置的发现.
主要方法:
- 利用有条件的相互信息作为信息流动的无模型,不对称的指数.
- 定义了定义的定义.
- 混乱的程度和程度.
- 通过最大的利亚普诺夫指数.
- 计算了对交互的振荡器变量进行预测的科尔摩戈罗夫-西奈.
- 在结果验证中使用Liang-Kleeman信息流量测量.
主要成果:
- 从具有较高混乱度的振荡器到具有较低混乱度的振荡器中观察到主要的净信息传输.
- 具有较高混乱度的振荡器表现出更高的预测科尔摩戈罗夫-西奈.
- 在具有相同功能形式 (不同的参数) 和完全不同的功能形式的振荡器中,结果一致.
- 该原理还在具有不同相位空间尺寸振荡器的系统中得到了证明.
结论:
- 在合的非相同的混乱振荡器中,净信息流的方向主要取决于它们相对的混乱程度.
- 这些发现是强大的,适用于广泛的合混沌系统,无论它们的具体动态或尺寸如何.
- 这为复杂的混乱网络中的信息处理提供了基本的洞察力.
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