Title :
Estimate the largest Lyapunov exponent of fractional-order systems
Author :
Zhang, Weiwei ; Zhou, Shangbo ; Liao, Xiaofeng ; Mai, Huanhuan ; Xiao, Ke
Author_Institution :
Comput. Dept., Chongqing Univ., Chongqing
Abstract :
In this paper, the small data sets algorithm of calculating the Largest Lyapunov exponent for integer-order systems is used for fractional order systems. As an example, the largest Lyapunov exponent of the fractional-order Rossler system is investigated. The lowest order for this system to have chaotic behavior is presented. The largest Lyapunov exponents of fractional-order Rossler system with different orders and parameters are given.
Keywords :
Lyapunov methods; chaos; nonlinear control systems; chaotic behavior; data sets algorithm; fractional-order Rossler system; integer-order systems; largest Lyapunov exponent; Chaos; Circuits; Control systems; Delay effects; Delay systems; Equations; Fractional calculus; History; Numerical simulation; Physics;
Conference_Titel :
Communications, Circuits and Systems, 2008. ICCCAS 2008. International Conference on
Conference_Location :
Fujian
Print_ISBN :
978-1-4244-2063-6
Electronic_ISBN :
978-1-4244-2064-3
DOI :
10.1109/ICCCAS.2008.4657964
