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 language | English |
|---|---|
| Article number | 586262 |
| Journal | Mathematical Problems in Engineering |
| Volume | 2014 |
| DOIs | |
| Publication status | Published - 2014 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Engineering(all)
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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 journal › Article
TY - JOUR
T1 - Chaotic dynamic analysis of aquatic phytoplankton system
AU - Wang, C. C.
AU - Liu, Chin-Chia
PY - 2014/1/1
Y1 - 2014/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84904098328&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84904098328&partnerID=8YFLogxK
U2 - 10.1155/2014/586262
DO - 10.1155/2014/586262
M3 - Article
AN - SCOPUS:84904098328
VL - 2014
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
SN - 1024-123X
M1 - 586262
ER -