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This paper investigates the traffic flow time series observed on the Beijing second ring road over a period of about 27 days, from 0:00 a.m. on 12/6/2006 to 16:00 p.m. on 1/1/2007. With the aid of the multifractal detrended fluctuation analysis (MF-DFA) method, the multifractality of the traffic flow series is shown in this paper. Furthermore, the multifractal spectrum is employed in studying the...
The notion of matrix-valued multiresolution analysis of space of matrix-valued multivariate functions is proposed. An approach for constructing orthogonal matrix-valued multivariate wavelet packets is developed and their properties are discussed by means of time-frequency analysis method, matrix theory and functional analysis method. Three orthogonality formulas concerning these wavelet packets are...
Multiple sequence alignment is one of the most important and challenging problem in bioinformatics, which is known as NP-hard problem. In this paper, a chaos-differential evolution (CDE) is proposed to solve MSA. In the proposed CDE algorithm, DE and chaos are hybridized to combine the evolutionary searching ability of DE and overcoming local optima of chaotic local search. Simulation shows that novel...
The position forward kinematics of mechanism is the basis of mechanism design. The position analysis problem can be transformed into nonlinear equations to be found. Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. In this paper, position analysis equations of 4-RPTR parallel...
Control of nonlinear system especially chaotic system is a main research content in the control field. In this paper, an optimal control method is proposed, which integrates Least Square Support Vector Machine (LS-SVM) with N-stage optimal control model. To enhance the control performance, a mixed kernel function used to LS-SVM is constructed through analyzing the existed kernel functions of LS-SVM...
The notion of matrix-valued multiresolution analysis. A procedure for designing orthogonal matrix-valued univariate wavelet packets is presented and their orthogonality properties are discussed by means of time-frequency analysis method, matrix theory and functional analysis method. Three orthogonality formulas concerning these wavelet packets are obtained. Finally, one new orthonormal basis of L2...
A new double Zero-watermarking method based on frequency domain is proposed in this paper. It uses the main message of an image to construct the watermark, hence keep the best invisibility. In the method, DCT and DWT are applied to enhance the quality for resisting attacks. It solves the problem that one type of watermarks can not detect all the attacks and increases the safety by encrypting a chaotic...
The position forward kinematics of mechanism is the basis of mechanism design. The position analysis problem can be transformed into nonlinear equations to be found. Gauss-Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. In this paper, position analysis equations of 3-RPS...
The generalized Lorenz system contains a class of three-dimensional autonomous quadratic chaotic systems, including Lorenz systems, Chen systems, Lu?? systems, unified chaotic systems and some other chaotic systems. In this paper, the impulsive synchronization of two generalized Lorenz systems is studied. By exploring the structure knowledge of the system, sufficient conditions are derived. In addition,...
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