Chaos versus Noise Detection in Heavy Noise Environment based on Energy Distribution and its Application in Memristive based Oscillator

Detecting chaos in severe noisy environments and also detecting chaos from noise are important issues in many areas of science and engineering. In this paper, a new criterion for distinguishing noise from noise is first presented, and a new method is proposed to detect chaos in noisy environment from noise based on auto-correlation coefficient of energy distribution. Finally, another method for chaos detection from noise in heavy noisy environments based on energy distribution in different frequency bands using the Discrete Wavelet Transform (DWT) is proposed. A new chaotic oscillator based on memristive devices (memristor and memcapacitor) with up to 50% white gaussian noise, is used as a practical case study to validate the results. This method is capable of detecting chaos in noisy environments of Gaussian noise and color noise. A new chaotic oscillator based on memristive devices is used as a practical case study to validate the results. Simulation results are used to show the main points of the paper.