适应性网络中的Hebbian和anti-Hebbian适应诱导的动态状态
S Thamizharasan1, V K Chandrasekar2, M Senthilvelan1
1Department of Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli-620 024, Tamil Nadu, India.
Physical review. E
|February 17, 2024
概括
这项研究探讨了具有赫比和反赫比规则的适应性网络如何应对外部强迫,揭示了各种同步和虚构状态. 这些发现提升了我们对复杂网络动态的理解.
科学领域:
- 复杂的系统复杂的系统.
- 非线性动力学是一种非线性动力学.
- 网络科学 网络科学
背景情况:
- 适应性网络表现出动态的连接权重.
- 阶段振荡器是建模合系统的基础.
- 外部强迫可以显著改变网络行为.
研究的目的:
- 研究外部强迫和适应性网络动态之间的相互作用.
- 在相振荡器网络中分析赫比和反赫比适应机制.
- 为了描述新兴的同步和幻象状态.
主要方法:
- 模拟相振荡器网络与连接重量共同演变.
- 实施赫比语和反赫比语学习规则.
- 制定不一致性测量措施 (局部频率/阶段std dev,内置平均频率).
- 进行强制引进的线性稳定性分析.
主要成果:
- 赫比安适应产生了多样化的同步状态 (集群,颠,强制拖累).
- 反赫比安适应导致随着赫比安诱导的状态,随之而来的流浪汉.
- 三种不同的不一致性测量验证了观察到的动态状态和参数图.
- 通过线性稳定性分析证实了强制引进的存在和稳定性条件.
结论:
- 外部强迫和适应规则 (Hebbian/anti-Hebbian) 在振荡器网络中创造了丰富的动态状态.
- 流浪神象是反赫布斯适应的一个新奇的结果.
- 定量测量和稳定性分析提供了对网络行为有力的描述.
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