分叉
倍周期分岔
数学
分岔图
数学分析
非线性系统
物理
混乱的
霍普夫分叉
折叠(高阶函数)
鞍结分岔
分岔理论
作者
Qiaoling Chen,Zhidong Teng,Feng Wang
标识
DOI:10.1016/j.chaos.2021.110704
摘要
Abstract In this paper we consider a two-dimensional discrete-time mosquito model, in which sterile mosquitoes are released into the wild at a nonlinear saturated rate. By reducing the discrete model into different normal forms, we prove that there exists a series of bifurcations of codimension two, including fold-flip bifurcation and strong resonance bifurcations (1:1, 1:2), when the values of two parameters vary. To verify theoretical analyses and confirm the chaotic behaviors of the discrete-time mosquito model, the bifurcation diagrams, phase portraits, time-series diagrams and maximum Lyapunov exponents diagrams are also showed for some special cases.
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