This work presents a method to generate a multi-scroll chaotic attractor by switched fractional system. Based on two piecewise-linear nonlinear functions, sub-models are constructed with the system order less than one. The switched system can demonstrate n-scroll chaotic attractors if its parameters and switching rule are suitably chosen. By analyzing the lyapunov exponent and the stability of the system, It's illustrated that chaotic attractors can be obtained with system orders as low as 0.9. Finally, Numerical examples are provided to verify the effectiveness of the proposed scheme.
A switching piecewise-linear control approach for generating of multi-scroll chaotic attractors
2010-06-01
1196090 byte
Conference paper
Electronic Resource
English
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