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A Novel Method for Chaos Detection in Heavy Noisy Environments Based on Distribution of Energy

Department of Electrical Engineering, Arak University of Technology, Arak, Iran

Corresponding author.

Department of Electrical Engineering, Industrial Control Center of Excellence, K. N. Toosi University of Technology, Tehran, Iran

E-mail Address: sedigh@kntu.ac.ir

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, and

Mohsen Najafi

Department of Electrical Engineering, Arak University of Technology, Arak, Iran

E-mail Address: najafi@arakut.ac.ir

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https://doi.org/10.1142/S0218127419501797Cited by:3 (Source: Crossref)

Abstract

Detecting chaos in heavy-noise environments is an important issue in many fields of science and engineering. In this paper, first, a new criterion is proposed to recognize chaos from noise based on the distribution of energy. Then, a new method based on stationary wavelet transform (SWT) is presented for chaos detection that is recommended for data that contain more than 60% noise. This method is dependent on the distribution of signal’s energy in different frequency bands based on SWT for chaos detection which is robust to noisy environments. In this method, the effect of white noise and colored noise on the chaotic system is considered. As a case study, the proposed method is applied to detect chaos in two different oscillators based on memristor and memcapacitor. The simulation results are used to display the main points of the paper.

Keywords:

References

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