Chaotic dynamics of the fractional order nonlinear system with time delay

被引：11
|
作者：
Celik, Vedat [1 ]
Demir, Yakup [1 ]
机构：
[1] Firat Univ, Dept Elect Elect Engn, Fac Engn, TR-23119 Elazig, Turkey
来源：
SIGNAL IMAGE AND VIDEO PROCESSING | 2014年 / 8卷 / 01期
关键词：
Chaos; Fractional operators; Fractional order time delayed nonlinear system; Largest Lyapunov exponents; LYAPUNOV EXPONENTS; BEHAVIOR;
D O I：
10.1007/s11760-013-0461-2
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper presents the fractional order model of a nonlinear autonomous continuous-time difference-differential equation with only one variable. Numerical simulation results of the fractional order model demonstrate the existence of chaos when system order . Values of the delay time in which chaotic behavior is observed at system order are quantitatively defined using the largest Lyapunov exponents obtained from the output time series.
引用
收藏
页码：65 / 70
页数：6
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