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Chaotic Dynamic Analysis of Aquatic Phytoplankton System

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  • C. C. Wang
  • C. C. Liu

Abstract

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, Poincaré maps, and spectrograms to discuss and validate whether the system has chaos phenomenon.

Suggested Citation

  • C. C. Wang & C. C. Liu, 2014. "Chaotic Dynamic Analysis of Aquatic Phytoplankton System," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, June.
    • Handle: RePEc:hin:jnlmpe:586262
    DOI: 10.1155/2014/586262
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