Chaotic Dynamic Analysis of Aquatic Phytoplankton System | Zendy

C. C. Wang | Zendy; C. C. Liu | Zendy

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Chaotic Dynamic Analysis of Aquatic Phytoplankton System

Author(s) -

C. C. Wang,

C. C. Liu

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/586262

Subject(s) - chaotic , nonlinear system , bifurcation , zooplankton , control theory (sociology) , trajectory , phytoplankton , transformation (genetics) , mathematics , computer science , statistical physics , biological system , physics , ecology , artificial intelligence , biology , biochemistry , control (management) , quantum mechanics , astronomy , nutrient , gene

This study analyzed the effect of nonlinear dynamic parameter of phytoplankton toxin emission on the system. Many previous studies have indicated that the zooplankton, mollusks, and habitat factors generate nonlinear chaotic dynamic behavior, which is hardly controlled random behavior. Therefore, in order to understand in what parameter conditions the system has this nonlinear behavior, the linear and nonlinear behaviors resulting from different conditions are discussed. This study used numerical analysis of differential transformation method to analyze the phase of system and applied bifurcation diagrams, trajectory diagrams, Poincare maps, and spectrograms to discuss and validate whether the system has chaos phenomenon.

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