bifurcationsandchaosinadiscretepredatorpreysystemwithhollingtypeivfunctionalresponse

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	bifurcationsandchaosinadiscretepredatorpreysystemwithhollingtypeivfunctionalresponse
	Jicai Huang
	2005
发表期刊	actamathematicaeapplicataesinica
ISSN	0168-9673
卷号	021 期号:001 页码:157
摘要	A discrete predator-prey system with Holling type-IV functional response obtained by the Euler method is first investigated. The conditions of existence for fold bifurcation, flip bifurcation and Hopf bifurcation are derived by using the center manifold theorem and bifurcation theory. Furthermore, we give the condition for the occurrence of codimension-two bifurcation called the Bogdanov-Takens bifurcation for fixed points and present approximate expressions for saddle-node, Hopfand homoclinic bifurcation sets near the Bogdanov-Takens bifurcation point. We also show the existence of degenerated fixed point with codimension three at least. The numerical simulations, including bifurcation diagrams, phase portraits, and computation of maximum Lyapunov exponents, not only show the consistence with the theoretical analysis but also exhibit the rich and complex dynamical behaviors such as the attracting invariant circle, period-doubling bifurcation from period-2,3,4 orbits.interior crisis, intermittency mechanic, and sudden disappearance of chaotic dynamic.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/37298
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Jicai Huang. bifurcationsandchaosinadiscretepredatorpreysystemwithhollingtypeivfunctionalresponse[J]. actamathematicaeapplicataesinica,2005,021(001):157.
APA	Jicai Huang.(2005).bifurcationsandchaosinadiscretepredatorpreysystemwithhollingtypeivfunctionalresponse.actamathematicaeapplicataesinica,021(001),157.
MLA	Jicai Huang."bifurcationsandchaosinadiscretepredatorpreysystemwithhollingtypeivfunctionalresponse".actamathematicaeapplicataesinica 021.001(2005):157.