检索规则说明:AND代表“并且”;OR代表“或者”;NOT代表“不包含”;(注意必须大写,运算符两边需空一格)
检 索 范 例 :范例一: (K=图书馆学 OR K=情报学) AND A=范并思 范例二:J=计算机应用与软件 AND (U=C++ OR U=Basic) NOT M=Visual
作 者:张真真 ZHANG Zhenzhen(Jiangsu University JingJiang College,212013,Zhenjiang,Jiangsu,PRC)
出 处:《江西科学》2020年第4期460-465,606,共7页Jiangxi Science
摘 要:基于周期激励下的van der Pol-Duffing振子,研究了一类由Hopf分岔滞后引起的delayed subHopf-fold/fold cycle簇发振荡及其动力学转迁,这种簇发模式表现出余维-2簇发振荡特性。将周期激励看做慢变量,得到了快子系统和慢子系统。然后对快子系统进行分岔分析,给出了Hopf分岔和fold分岔的临界条件。最后利用分岔图和转换相图的叠加分析了该簇发振荡的产生机制及其动力学转迁。Based on the van der Pol-Duffing oscillator with a slow-varying periodic excitation,a novel bursting pattern named delayed subHopf-fold/fold cycle bursting oscillation and its transitions are revealed.The characteristics of codimension-2 bifurcation can be found in this bursting.The fast subsystem and the slow subsystem can be obtained by regarding the excitation as a slow-changing variable.Then,the critical conditions of Hopf bifurcation and fold bifurcation are given through the bifurcation analysis of the fast subsystem.Finally,the mechanism as well as the dynamical transitions of this bursting are analyzed by superimposing the transition phase diagram onto the bifurcation diagram.
关 键 词:分岔滞后 余维-2分岔 簇发振荡 van der Pol-Duffing方程
分 类 号:O31[理学—一般力学与力学基础]
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在载入数据...
正在链接到云南高校图书馆文献保障联盟下载...
云南高校图书馆联盟文献共享服务平台 版权所有©
您的IP:216.73.216.229