当前位置: X-MOL 学术Int. J. Bifurcat. Chaos › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
The Effects of a Constant Excitation Force on the Dynamics of an Infinite-Equilibrium Chaotic System Without Linear Terms: Analysis, Control and Circuit Simulation
International Journal of Bifurcation and Chaos ( IF 2.2 ) Pub Date : 2020-12-10 , DOI: 10.1142/s021812742050234x
L. Kamdjeu Kengne 1, 2 , Z. Tabekoueng Njitacke 1, 3 , J. R. Mboupda Pone 1 , H. T. Kamdem Tagne 4
Affiliation  

In this paper, the effects of a bias term modeling a constant excitation force on the dynamics of an infinite-equilibrium chaotic system without linear terms are investigated. As a result, it is found that the bias term reduces the number of equilibrium points (transition from infinite-equilibria to only two equilibria) and breaks the symmetry of the model. The nonlinear behavior of the system is highlighted in terms of bifurcation diagrams, maximal Lyapunov exponent plots, phase portraits, and basins of attraction. Some interesting phenomena are found including, for instance, hysteretic dynamics, multistability, and coexisting bifurcation branches when monitoring the system parameters and the bias term. Also, we demonstrate that it is possible to control the offset and amplitude of the chaotic signals generated. Compared to some few cases previously reported on systems without linear terms, the plethora of behaviors found in this work represents a unique contribution in comparison with such type of systems. A suitable analog circuit is designed and used to support the theoretical analysis via a series of Pspice simulations.

中文翻译:

恒定激励力对无线性项的无限平衡混沌系统动力学的影响:分析、控制和电路仿真

在本文中,研究了模拟恒定激励力的偏置项对没有线性项的无限平衡混沌系统动力学的影响。结果发现,偏置项减少了平衡点的数量(从无限平衡过渡到只有两个平衡)并破坏了模型的对称性。系统的非线性行为在分岔图、最大李雅普诺夫指数图、相图和吸引力盆地方面突出显示。发现了一些有趣的现象,例如,在监测系统参数和偏置项时,滞后动力学、多稳定性和并存的分岔分支。此外,我们证明可以控制生成的混沌信号的偏移和幅度。与之前在没有线性项的系统上报告的一些案例相比,与此类系统相比,这项工作中发现的过多行为代表了独特的贡献。通过一系列 Pspice 仿真,设计并使用合适的模拟电路来支持理论分析。
更新日期:2020-12-10
down
wechat
bug