多稳态
动力学(音乐)
物理
分叉
吸引子
双稳态
混乱的
非线性系统
瞬态(计算机编程)
理论(学习稳定性)
控制理论(社会学)
动力系统理论
油藏计算
联轴节(管道)
作者
Luana Santana,Rafael M. da Silva,Holokx A. Albuquerque,Cesar Manchein
出处
期刊:Chaos
[American Institute of Physics]
日期:2021-05-04
卷期号:31 (5): 053107-053107
被引量:2
摘要
We analyze the existence of chaotic and regular dynamics, transient chaos phenomenon, and multistability in the parameter space of two electrically interacting FitzHugh–Nagumo (FHN) neurons. By using extensive numerical experiments to investigate the particular organization between periodic and chaotic domains in the parameter space, we obtained three important findings: (i) there are self-organized generic stable periodic structures along specific directions immersed in a chaotic portion of the parameter space; (ii) the existence of transient chaos phenomenon is responsible for long chaotic temporal evolution preceding the asymptotic (periodic) dynamics for particular parametric combinations in the parameter space; and (iii) the existence of various multistable domains in the parameter space with an arbitrary number of attractors. Additionally, we also prove through numerical simulations that chaos, transient chaos, and multistability prevail even for different coupling strengths between identical FHN neurons. It is possible to find multistable attractors in the phase and parameter spaces and to steer them apart by increasing the asymmetry in the coupling force between neurons. Such a strategy can be essential to experimental matters, as setting the right parameter ranges. As the FHN model shares the crucial properties presented by the more realistic Hodgkin–Huxley-like neurons, our results can be extended to high-dimensional coupled neuron models.
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