Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex Parameters.
Ruoxun Zhang1,2, Yongli Liu1, Shiping Yang2
1College of Primary Education, Xingtai University, Xingtai 054001, China.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
This study introduces a new adaptive synchronization scheme for fractional-order complex-variable chaotic systems (FOCCS) with unknown parameters. The method simplifies analysis and computation for these complex systems.
Area of Science:
- Chaos theory
- Nonlinear dynamics
- Complex systems
Background:
- Fractional-order complex-variable chaotic systems (FOCCS) present unique synchronization challenges due to unknown complex parameters.
- Existing methods for analyzing and synchronizing FOCCS can be computationally intensive and complex.
Purpose of the Study:
- To develop a novel and efficient adaptive synchronization scheme for FOCCS with unknown complex parameters.
- To simplify the analysis and reduce the computational complexity associated with synchronizing these systems.
Main Methods:
- The study utilizes complex-variable inequality and stability theory tailored for fractional-order complex-valued systems.
- A new adaptive control scheme is proposed to achieve synchronization.
Main Results:
- The proposed scheme effectively achieves adaptive synchronization of FOCCS with unknown complex parameters.
- The method demonstrates a significant reduction in computational complexity compared to existing approaches.
- Theoretical proofs and simulation results validate the scheme's performance.
Conclusions:
- The presented adaptive synchronization scheme offers a novel and computationally efficient solution for FOCCS.
- This work contributes a new analytical tool for fractional-order complex-valued systems.
- The findings have implications for secure communications and complex system modeling.
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