Dynamic Analysis and Degenerate Hopf Bifurcation-Based Feedback Control of a Conservative Chaotic System and Its Circuit Simulation | Zendy

Xiaojuan Zhang | Zendy; Mingshu Chen | Zendy; Yang Wang | Zendy; Huaigu Tian | Zendy; Zhen Wang | Zendy

Open Access

Dynamic Analysis and Degenerate Hopf Bifurcation-Based Feedback Control of a Conservative Chaotic System and Its Circuit Simulation

Author(s) -

Xiaojuan Zhang,

Mingshu Chen,

Yang Wang,

Huaigu Tian,

Zhen Wang

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/5576353

Subject(s) - chaotic , control theory (sociology) , degenerate energy levels , correctness , hopf bifurcation , computer simulation , computer science , bifurcation , symmetry (geometry) , mathematics , domain (mathematical analysis) , control (management) , mathematical analysis , nonlinear system , physics , algorithm , simulation , geometry , quantum mechanics , artificial intelligence

A novel conservative chaotic system with no equilibrium is investigated in this study. Various dynamics such as the conservativeness, coexistence, symmetry, and invariance are presented. Furthermore, a partial-state feedback control scheme is proposed, and the stable domain of control parameters is analyzed based on the degenerate Hopf bifurcation. In order to verify the numerical simulation analysis, an analog circuit is designed. The simulation results show that the output of the analog circuit system can reproduce the numerical simulation results and verify the correctness of the theoretical analysis.

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