Chaos in a food chain chemostat with pulsed input and washout

doi:10.1016/j.chaos.2004.12.040

CSpace

	Chaos in a food chain chemostat with pulsed input and washout
	Zhang, YJ ; Xiu, ZL ; Chen, LS
	2005-10-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	26 期号:1 页码:159-166
摘要	A food-chain chemostat with periodically pulsed input and washout is presented and analyzed. We prove that when the period of pulses is equal to some critical value, there exists a transcritical bifurcation. When the period is more than the critical value, the zooplankton-free periodic solution loses stability, and nutrient, phytoplankton and zooplankton coexist on a periodic solution of period T. If the period is further increase, the system undergoes a series of period-doubling bifurcations leading to chaos. Moreover, the system is also characterized by non-unique dynamic. Finally, we give a brief discussion and find that periodically pulsed input and washout destroys the equilibria of the unforced continuous system and initiates chaos. (c) 2005 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2004.12.040
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000229353000019
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1634
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, YJ
作者单位	1.Anshan Normal Univ, Dept Math, Anshan 114005, Liaoning, Peoples R China 2.Dalian Univ Technol, Dept Biosci & Biotechnol, Dalian 116024, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YJ,Xiu, ZL,Chen, LS. Chaos in a food chain chemostat with pulsed input and washout[J]. CHAOS SOLITONS & FRACTALS,2005,26(1):159-166.
APA	Zhang, YJ,Xiu, ZL,&Chen, LS.(2005).Chaos in a food chain chemostat with pulsed input and washout.CHAOS SOLITONS & FRACTALS,26(1),159-166.
MLA	Zhang, YJ,et al."Chaos in a food chain chemostat with pulsed input and washout".CHAOS SOLITONS & FRACTALS 26.1(2005):159-166.