在拓格子中的受保护的混乱
Haydar Sahin1,2, Hakan Akgün3, Zhuo Bin Siu1
1Department of Electrical and Computer Engineering, National University of Singapore, Singapore, 117583, Republic of Singapore.
概括
混沌和拓在非线性系统中令人惊地相互保护. 这项研究表明,拓保护可以稳定网络中的混乱动态,从而实现强大的设计.
科学领域:
- 非线性动力学的非线性动力学
- 凝聚物质物理学 凝聚物质物理学
- 网络科学 网络科学
背景情况:
- 混乱的行为通常会破坏周期动态的稳定.
- 非碎的拓以保护线性系统而闻名.
- 在非线性系统中,混沌与拓学的相互作用在很大程度上仍未被探索.
研究的目的:
- 研究非微不足道拓在稳定混乱动态中的作用.
- 为了证明在非线性振荡器中对混乱的强大的拓保护.
- 探索利用拓原理设计弹性非线性网络的潜力.
主要方法:
- 将混乱的Chua电路纳入一个拓性的Su-Schrieffer-Heeger (SSH) 电路.
- 分析线性到深度非线性系统的动态.
- 检查拓符号的批量和边缘滚动动态.
主要成果:
- 非微不足道的拓在拓网中承受和保护混乱的动态.
- 在混乱边界振荡的参数状态下,拓 robustness 持续存在.
- 大量和边缘动态的独特相关性揭示了受保护混乱的拓起源.
结论:
- 在周期驱动系统中,可实现拓保护的混沌.
- 这种现象为设计有弹性和适应性的非线性网络提供了新的途径.
- 这些发现挑战了混乱本质上侵蚀了拓系统的稳定性这一观念.
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