Abstract
In this paper, a spectral entropy algorithm has been used successfully for complexity measure of a discrete permanent-magnet synchronous motor (PMSM) system. Firstly, the discrete PMSM system is achieved using the forward Euler scheme. Secondly, by adopting the bifurcation diagram, phase portraits, 0-1 test, and largest Lyapunov exponent, the chaotic dynamics of the discrete PMSM system are analyzed. The complexity of the discrete PMSM system is discussed by employing the spectral entropy algorithm. It shows that the spectral entropy complexity analysis is an efficient tool to study chaotic dynamics. Finally, we illustrate this result through numerical experiments.
Highlights
Due to its potential applications in the fields of secure communication and information encryption, chaos as a hot topic has been widely studied for nearly three decades, especially the chaotic dynamics and complexity analysis of chaotic sequences.At present, the complexity measure of chaotic sequences can be analyzed by behavioral complexity and structure complexity
A discrete chaotic system, which is obtained by the forward Euler scheme for its continuous system, is widely studied
A natural question to follow is whether these discrete chaotic systems are more complicated than its continuous systems or not? How to select the system parameters and step size to get more complex dynamics? it is worthwhile to take the fluctuation of step size into full account for the dynamic problem of a chaotic system
Summary
Due to its potential applications in the fields of secure communication and information encryption, chaos as a hot topic has been widely studied for nearly three decades, especially the chaotic dynamics and complexity analysis of chaotic sequences. The entropy algorithm is an efficient tool to deal with complexity of chaotic sequences. A discrete chaotic system, which is obtained by the forward Euler scheme for its continuous system, is widely studied. Based on the above questions, the major task of this paper is to deal with complexity of chaotic sequences by means of the spectral entropy algorithm. The chaotic dynamics of the continuous PMSM system becomes one of most active research areas.
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