Stability Analysis and Hopf Bifurcation Control for a Wireless Network Model | Zendy

Feng Liu | Zendy; Xiang Yin | Zendy; Xinmei Wang | Zendy; Wei Liu | Zendy; Longsheng Wei | Zendy; Hua O. Wang | Zendy

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Stability Analysis and Hopf Bifurcation Control for a Wireless Network Model

Author(s) -

Feng Liu,

Xiang Yin,

Xinmei Wang,

Wei Liu,

Longsheng Wei,

Hua O. Wang

Publication year - 2016

Publication title -

journal of advanced computational intelligence and intelligent informatics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.172

H-Index - 20

eISSN - 1343-0130

pISSN - 1883-8014

DOI - 10.20965/jaciii.2016.p0212

Subject(s) - hopf bifurcation , center manifold , stability (learning theory) , biological applications of bifurcation theory , computer science , bifurcation , saddle node bifurcation , mathematics , control theory (sociology) , bifurcation diagram , transcritical bifurcation , topology (electrical circuits) , control (management) , physics , nonlinear system , artificial intelligence , quantum mechanics , machine learning , combinatorics

A wireless network model with the hybrid control is considered. The stability and Hopf bifurcation behavior of the wireless network model are investigated. The stability analysis and the parameter condition that the Hopf bifurcation occurs are deduced. The stability and direction of the bifurcating periodic solutions are analyzed by applying the normal form theory and the center manifold theorem. Numerical simulations demonstrate the complex behavior of the system and verify the theoretical analysis.

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