CODIMENSION-TWO BIFURCATION ANALYSIS OF THE CONTINUOUS STIRRED TANK REACTOR MODEL WITH DELAY | Zendy

Ai Ke | Zendy; Chunrui Zhang | Zendy

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CODIMENSION-TWO BIFURCATION ANALYSIS OF THE CONTINUOUS STIRRED TANK REACTOR MODEL WITH DELAY

Author(s) -

Ai Ke,

Chunrui Zhang

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1586

Subject(s) - continuous stirred tank reactor , phase portrait , bifurcation , center manifold , control theory (sociology) , mathematics , plug flow reactor model , simple (philosophy) , computer science , nonlinear system , physics , engineering , hopf bifurcation , chemical engineering , philosophy , epistemology , control (management) , quantum mechanics , artificial intelligence

The aim of this paper is to research the dynamical behaviors of the continuous stirred tank reactor (CSTR) model with delay. Firstly, we discuss the situation that its related characteristic equation has a simple zero root and a pair of purely imaginary roots. Secondly, the center manifold method and the normal form method are used to reduce the equation of CSTR model. Finally, some characteristics about the CSTR model can be obtained. We analyze three different topological structure and give entire bifurcation diagrams and phase portraits, which are innovative phenomenon. At the end, we obtain the stable and unstable periodic solutions by numerical simulation.

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