Signal processing techniques applied to human sleep EEG signals - a review

New image encryption based on DNA encoding combined with chaotic system is proposed. The algorithm uses chaotic system to disturb the pixel locations and pixel values and then DNA encodings according to quaternary code rules are carried out. The pseudo DNA operations are controlled by the quaternary chaotic sequences. At last the image encryption through DNA decoding is achieved. The theoretical analysis and experimental results show that the algorithm improves the encoding efficiency, enhances the security of the ciphertext, has a large key space and a high key sensitivity, it is able to resist the statistical and exhaustive attacks.

Improved algorithm for image encryption based on DNA encoding and multi-chaotic maps

Chaos in discrete fractional maps has been reported very recently. In this study, the chaotic time series of fractional order is used in the scrambling technique and a novel image encryption scheme...

Image encryption technique based on fractional chaotic time series

This paper focuses on the stability of a hydropower station. First, we established a novel nonlinear mathematical model of a Francis hydro-turbine governing system considering both fractional-order derivative and time delay. The fractional-order α , which is introduced into the penstock system, in the range from 0.82 to 1.00 is on the left side of the model in a incommensurate manner in increment of 0.03 to provide an adjustable degree of system memory. The time delay τ , which exists between the signal and response in the hydraulic servo system, in the range from 0  s to 0.26  s is inserted on the right side of the model in increment of 0.04  s . Utilizing the principle of statistical physics, we respectively explored the effects of the fractional-order α and the time delay τ on the stable region of the system. Furthermore, we exhaustively investigated the nonlinear dynamic behaviors of the system with different governor parameters by using bifurcation diagrams, time waveforms and power spectrums, finding that only under the condition of reasonable collocation of governor parameters the system can maintain stable operation. Finally, all of the above numerical experiments supply new methods for studying the stability of a hydropower station.

/pdf/nonlinear-dynamics-of-a-novel-fractional-order-francis-hydro-4rsjxpry6k.pdf

Nonlinear dynamics of a novel fractional-order Francis hydro-turbine governing system with time delay

A fuzzy support vector machine algorithm for classification based on a novel PIM fuzzy clustering method

Researches on chaos phenomenon of EEG dynamics model

In this paper, a novel modified function projective lag synchronization (MFPLS) for fractional-order chaotic (hyperchaotic) systems is proposed. Considering fractional derivatives do not satisfy th...

Modified function projective lag synchronization in fractional-order chaotic (hyperchaotic) systems

In this article, a novel synchronization scheme, modified function projective lag synchronization (MFPLS), between identical and nonidentical hyperchaotic complex systems with fully uncertain parameters, is proposed. In the proposed general method, the states of two hyperchaotic complex systems with unknown parameters are asymptotically synchronized up to a desired scaling function matrix with time delay, and all of the unknown parameters are identified. The adaptive controller and laws of parameters are designed to achieve MFPLS between the drive and response systems. Theoretical proof and numerical simulations demonstrate the effectiveness and feasibility of the proposed scheme.

Adaptive modified function projective lag synchronization of hyperchaotic complex systems with fully uncertain parameters

Nonlinear dynamic research on EEG signals in HAI experiment

Dynamic analysis of the coupled logistic map redounds to know and predict the characteristics of high-dimension complex nonlinear system. Using the method combining calculation and experiment, the following conclusions are shown: (1) The boundary equation of the first bifurcation of the coupled logistic map in the parameter space is given out. (2) Chaotic patterns of the coupled logistic map may emerge out of double-periodic bifurcation and Hopf bifurcation, respectively. (3) The boundary between periodic and non-periodic regions in the attraction basin of the coupled logistic map is fractal, which indicates the impossibility to predict the moving result of the points in phase plane. (4) The structures of the Mandelbrot-Julia sets are determined by the control parameters, and their boundaries have the fractal characteristic.

/pdf/dynamic-analysis-of-the-coupled-logistic-map-h0iogonm3p.pdf

Dynamic Analysis of the Coupled Logistic Map

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