Chaotic dynamic analysis of aquatic phytoplankton system

C. C. Wang, Chin-Chia Liu

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.

Original languageEnglish
Article number586262
JournalMathematical Problems in Engineering
Volume2014
DOIs
Publication statusPublished - 2014 Jan 1

Fingerprint

Phytoplankton
Chaotic Dynamics
Dynamic Analysis
Dynamic analysis
Chaos theory
Nonlinear Dynamics
Numerical analysis
Trajectories
Differential Transformation Method
Spectrogram
Zooplankton
Bifurcation Diagram
Chaotic Behavior
Dynamic Behavior
Numerical Analysis
Chaos
Diagram
Trajectory

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

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Chaotic dynamic analysis of aquatic phytoplankton system. / Wang, C. C.; Liu, Chin-Chia.

In: Mathematical Problems in Engineering, Vol. 2014, 586262, 01.01.2014.

Research output: Contribution to journalArticle

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