Estimate the largest Lyapunov exponent of fractional-order systems

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.