Discontinuity, Nonlinearity, and Complexity
The Switching Function Projective Synchronization Dynamics of two Distinct Van der PolDuffing Oscillators with a MemristorDuffing Oscillator
Discontinuity, Nonlinearity, and Complexity 10(3) (2021) 547570  DOI:10.5890/DNC.2021.09.014
Fuhong Min$^1$ , Chen Wei$^{1}$, Hanyuan Ma$^{1}$, Yiping Dou$^{1}$, Chunbiao Li$^{2}$
$^1$ School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, 210023, China
$^ 2$ School of Electrical and Information Engineering, Nanjing University of Information Science and Technology,
Nanjing, 210044, China
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Abstract
In this paper, through the discontinuous dynamical system theory, the system interactions of two distinct Van der PolDuffing oscillators and a MemristorDuffing oscillator is discussed under a switching nonlinear controller with symbolic functions. The interaction conditions of three chaotic systems are treated as separation boundaries which is timevarying. Thus the corresponding motion domains are constrained by the boundaries and studied, and the analytical conditions for function project synchronization of three nonautonomous system via the switchability and attractivity of edge flows are developed. The control parameter maps with different invariant sets are also studied under the analytical conditions. The partial and full function projective synchronization are carried out via numerical simulations, and the interactions of the control parameters on the synchronization has been investigated. The switching projective synchronization are experimentally realized via analog circuit, and the experimental results validate the theoretical analysis.
Acknowledgments
This work is supported by National Natural
Science Foundation of China under Grant No. 61971228, 61871230.
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