Kingston S Leo, Kumarasamy Suresh, Chudzik Agnieszka, Wojewoda Jerzy, Kapitaniak Tomasz
Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland.
Center for Artificial Intelligence, Easwari Engineering College, Chennai 600089, Tamilnadu, India.
Entropy (Basel). 2024 Sep 24;26(10):812. doi: 10.3390/e26100812.
We report the appearance of supertransient chaos in a single and two-coupled Liénard system with the influence of external periodic force. The existence of transient dynamics in a model is significantly long before it settles into the asymptotic steady state of periodic dynamics understood as supertransient chaos. The two diffusively coupled forced Liénard systems exhibit extremely long transient dynamics when their frequencies of the external forcing are slightly mismatched. Additionally, the coupled system signifies supertransient hyperchaotic dynamics for a specific set of system parameters. This study involves different numerical characterizations, statistical analysis, and hardware implementation using an analog electronic circuit.
我们报告了在具有外部周期力影响的单个和两个耦合的李纳系统中出现超瞬态混沌的情况。在一个模型进入被理解为超瞬态混沌的周期动力学的渐近稳态之前，其瞬态动力学的存在时间显著延长。当两个扩散耦合的受迫李纳系统的外部强迫频率略有失配时，它们会表现出极长的瞬态动力学。此外，对于特定的一组系统参数，耦合系统呈现出超瞬态超混沌动力学。本研究涉及不同的数值表征、统计分析以及使用模拟电子电路的硬件实现。
