Delayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System | Zendy

Huijian Zhu | Zendy; Lijie Li | Zendy

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Delayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System

Author(s) -

Huijian Zhu,

Lijie Li

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 - 10.1155/2021/7066074

Subject(s) - bifurcation diagram , hopf bifurcation , control theory (sociology) , control of chaos , correctness , saddle node bifurcation , chaotic , bifurcation , mathematics , biological applications of bifurcation theory , period doubling bifurcation , synchronization of chaos , stability (learning theory) , bogdanov–takens bifurcation , chaos (operating system) , center manifold , control (management) , computer science , physics , nonlinear system , algorithm , artificial intelligence , quantum mechanics , machine learning , computer security

In this paper, the influence of delayed feedback on the unified chaotic system from the Sprott C system and Yang system is studied. The Hopf bifurcation and dynamic behavior of the system are fully studied by using the central manifold theorem and bifurcation theory. The explicit formula, bifurcation direction, and stability of the periodic solution of bifurcation are given correspondingly. The Hopf bifurcation diagram and chaotic phenomenon are also analyzed by numerical simulation to prove the correctness of the theory. It shows that this delay control can only be applied to the hidden chaos with two stable equilibria.

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