Affiliation:
1. Hunan University of Arts and Science, China
2. Central South University, China
Abstract
The fractional-order Lorenz hyperchaotic system is solved as a discrete map by applying Adomian decomposition method (ADM). Dynamics of this system versus parameters are analyzed by LCEs, bifurcation diagrams, and SE and C0 complexity. Results show that this system has rich dynamical behaviors. Chaos and hyperchaos can be generated by decreasing the fractional derivative order q in this system. It also shows that the system is more complex when q takes smaller values. Moreover, coupled synchronization of fractional-order chaotic system is investigated theoretically. The synchronization performances with synchronization controller parameters and derivative order varying are analyzed. Synchronization and complexity of intermediate variables which generated by ADM are investigated. It shows that intermediate variables between the driving system and response system are synchronized and higher complexity values are found. It lays a technical foundation for secure communication applications of fractional-order chaotic systems.
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