Investigation of Bifurcations in the Process Equation

被引：14
作者：
Nazarimehr, Fahimeh [1 ]
Jafari, Sajad [1 ]
Golpayegani, Seyed Mohammad Reza Hashemi [1 ]
Kauffman, Louis H. [2 ]
机构：
[1] Amirkabir Univ Technol, Dept Biomed Engn, Tehran 158754413, Iran
[2] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2017年 / 27卷 / 13期
基金：
美国国家科学基金会;
关键词：
Process equation; multistable; bifurcation; unifurcation; bios; unstable window; bio-periodic window; MULTISTABILITY; PATTERNS;
D O I：
10.1142/S0218127417502017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper mathematically investigates the process equation. The process equation is a one-dimensional map A(k+1) = A(k)+g sin(A(k)). It can show multistable attractors and various dynamics such as period doubling, unifurcation, chaos, bios, unstable windows and bio- periodic windows with respect to the changing of its control parameter, g. Different dynamics and the reasons for their occurrence are investigated in this note.
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页数：18
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