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  • Articles  (2,780)
  • Hindawi  (2,780)
  • American Meteorological Society
  • Blackwell Publishing Ltd
  • Copernicus
  • Institute of Electrical and Electronics Engineers
  • Molecular Diversity Preservation International
  • Springer Nature
  • Springer Science + Business Media
  • 2020-2022
  • 2010-2014  (2,780)
  • 1985-1989
  • 1960-1964
  • 2014  (2,637)
  • 2010  (143)
  • Journal of Applied Mathematics  (1,015)
  • Discrete Dynamics in Nature and Society  (286)
  • International Journal of Stochastic Analysis  (25)
  • 46742
  • 8998
  • 9340
  • Mathematics  (2,780)
  • Architecture, Civil Engineering, Surveying
Collection
  • Articles  (2,780)
Source
Publisher
  • Hindawi  (2,780)
  • American Meteorological Society
  • Blackwell Publishing Ltd
  • Copernicus
  • Institute of Electrical and Electronics Engineers
    • +
Years
  • 2020-2022
  • 2010-2014  (2,780)
  • 1985-1989
  • 1960-1964
Year
Journal
Topic
  • Mathematics  (2,780)
  • Architecture, Civil Engineering, Surveying
  • 1
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    Critical Blow-Up and Global Existence for Discrete Nonlinear p-Laplacian Parabolic Equations (2014)
    Hindawi
    Details
    Publication Date: 2014-12-15
    Description: The goal of this paper is to investigate the blow-up and the global existence of the solutions to the discrete p-Laplacian parabolic equation , , , , , depending on the parameters and . Besides, we provide several types of the comparison principles to this equation, which play a key role in the proof of the main theorems. In addition, we finally give some numerical examples which exploit the main results.
    Print ISSN: 1026-0226
    Electronic ISSN: 1607-887X
    Topics: Mathematics
    Published by Hindawi
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  • 2
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    Modified Reduced Differential Transform Method for Partial Differential-Algebraic Equations (2014)
    Hindawi
    Details
    Publication Date: 2014-11-07
    Description: This work presents the application of the reduced differential transform method (RDTM) to find solutions of partial differential-algebraic equations (PDAEs). Two systems of index-two and index-three are solved to show that RDTM can provide analytical solutions for PDAEs in convergent series form. In addition, we present the posttreatment of the power series solutions with the Laplace-Padé resummation method as a useful technique to find exact solutions. The main advantage of the proposed technique is that it is based on a few straightforward steps and does not generate secular terms or depend on a perturbation parameter.
    Print ISSN: 1110-757X
    Electronic ISSN: 1687-0042
    Topics: Mathematics
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  • 3
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    Movement Control in Recovering UUV Based on Two-Stage Discrete T-S Fuzzy Model (2014)
    Hindawi
    Details
    Publication Date: 2014-11-05
    Description: A two-stage discrete T-S fuzzy model controller, which is formed by a motion controller and a dynamic controller connected in series, is presented to solve UUV (unmanned underwater vehicle) movement control problem for recovering. The motion controller is designed based on the uncertain T-S model and the concept of discrete fuzzy vector. The position error between UUV and moving platform as the input of the motion controller is converted into the speed commands of UUV at the next time. The dynamic controller design is based on the theory of fuzzy region model and a relaxed condition for Lyapunov stabilization function is derived in the form of linear matrix inequalities, which generate force and torque required to complete the recovery task. The feasibility and the efficiency of the proposed control scheme are illustrated through the simulations that UUV follows moving platform.
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    Electronic ISSN: 1607-887X
    Topics: Mathematics
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  • 4
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    Unsupervised SAR Image Segmentation Based on a Hierarchical TMF Model in the Discrete Wavelet Domain for Sea Area Detection (2014)
    Hindawi
    Details
    Publication Date: 2014-11-05
    Description: Unsupervised synthetic aperture radar (SAR) image segmentation is a fundamental preliminary processing step required for sea area detection in military applications. The purpose of this step is to classify large image areas into different segments to assist with identification of the sea area and the ship target within the image. The recently proposed triplet Markov field (TMF) model has been successfully used for segmentation of nonstationary SAR images. This letter presents a hierarchical TMF model in the discrete wavelet domain of unsupervised SAR image segmentation for sea area detection, which we have named the wavelet hierarchical TMF (WHTMF) model. The WHTMF model can precisely capture the global and local image characteristics in the two-pass computation of posterior distribution. The multiscale likelihood and the multiscale energy function are constructed to capture the intrascale and intrascale dependencies in a random field (). To model the SAR data related to radar backscattering sources, the Gaussian distribution is utilized. The effectiveness of the proposed model for SAR image segmentation is evaluated using synthesized and real SAR data.
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    Topics: Mathematics
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  • 5
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    Robust Mean Change-Point Detecting through Laplace Linear Regression Using EM Algorithm (2014)
    Hindawi
    Details
    Publication Date: 2014-11-05
    Description: We proposed a robust mean change-point estimation algorithm in linear regression with the assumption that the errors follow the Laplace distribution. By representing the Laplace distribution as an appropriate scale mixture of normal distribution, we developed the expectation maximization (EM) algorithm to estimate the position of mean change-point. We investigated the performance of the algorithm through different simulations, finding that our methods is robust to the distributions of errors and is effective to estimate the position of mean change-point. Finally, we applied our method to the classical Holbert data and detected a change-point.
    Print ISSN: 1110-757X
    Electronic ISSN: 1687-0042
    Topics: Mathematics
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  • 6
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    Optimization Method for Crop Growth Characteristics Based on Improved Locality Preserving Projection (2014)
    Hindawi
    Details
    Publication Date: 2014-11-06
    Description: Locality preserving projection (LPP) retains only partial information, and category information of samples is not considered, which causes misclassification of feature extraction. An improved locality preserving projection algorithm is proposed to optimize the extraction of growth characteristics. Firstly, preliminary dimensionality reduction of sample data is constructed by using two-dimensional principal component analysis (2DPCA) to retain the spatial information. Then, two optimized subgraphs are defined to describe the neighborhood relation between different categories of data. Finally, feature parameters set are obtained to extract local information of samples by improved LPP algorithm. The experiments show that the improved LPP algorithm has good adaptability, and the highest SVM classification accuracy rate of this method can reach more than 96%. Compared with other methods, the improved LPP has superior optimized performance in terms of multidimensional data analysis and optimization.
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    Topics: Mathematics
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  • 7
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    A Hybrid Artificial Bee Colony Algorithm for the Service Selection Problem (2014)
    Hindawi
    Details
    Publication Date: 2014-12-18
    Description: To tackle the QoS-based service selection problem, a hybrid artificial bee colony algorithm called -ABC is proposed, which incorporates the ant colony optimization mechanism into the artificial bee colony optimization process. In this algorithm, a skyline query process is used to filter the candidates related to each service class, which can greatly shrink the search space in case of not losing good candidates, and a flexible self-adaptive varying construct graph is designed to model the search space based on a clustering process. Then, based on this construct graph, different foraging strategies are designed for different groups of bees in the swarm. Finally, this approach is evaluated experimentally using different standard real datasets and synthetically generated datasets and compared with some recently proposed related service selection algorithms. It reveals very encouraging results in terms of the quality of solutions.
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    Topics: Mathematics
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  • 8
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    Adaptive Fuzzy Fault-Tolerant Output Feedback Tracking Control of Uncertain Stochastic Nonlinear Systems with Unknown Time-Delay and Tracking Error Constrained (2014)
    Hindawi
    Details
    Publication Date: 2014-11-06
    Description: The problem of tracking error constrained adaptive fuzzy output feedback control is investigated for a class of single-input and single-output (SISO) stochastic nonlinear systems with actuator faults, unknown time-delay, and unmeasured states. The considered faults are modeled as both loss of effectiveness and lock-in-place. The fuzzy logic systems are used to approximate the unknown nonlinear functions, and a fuzzy adaptive observer is designed for estimating the unmeasured states. By transforming the tracking errors into new virtual error variables and based on backstepping recursive design technique, a new fuzzy adaptive output feedback control method is developed. It is shown that all the signals of the resulting closed-loop system are bounded in probability and the tracking error remains an adjustable neighborhood of the origin within the prescribed bounds. The simulation results are provided to show the effectiveness of the proposed approach.
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  • 9
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    Dynamical Analysis of the Lorenz-84 Atmospheric Circulation Model (2014)
    Hindawi
    Details
    Publication Date: 2014-11-24
    Description: The dynamical behaviors of the Lorenz-84 atmospheric circulation model are investigated based on qualitative theory and numerical simulations. The stability and local bifurcation conditions of the Lorenz-84 atmospheric circulation model are obtained. It is also shown that when the bifurcation parameter exceeds a critical value, the Hopf bifurcation occurs in this model. Then, the conditions of the supercritical and subcritical bifurcation are derived through the normal form theory. Finally, the chaotic behavior of the model is also discussed, the bifurcation diagrams and Lyapunov exponents spectrum for the corresponding parameter are obtained, and the parameter interval ranges of limit cycle and chaotic attractor are calculated in further. Especially, a computer-assisted proof of the chaoticity of the model is presented by a topological horseshoe theory.
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  • 10
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    Localizing Brain Activity from Multiple Distinct Sources via EEG (2014)
    Hindawi
    Details
    Publication Date: 2014-11-24
    Description: An important question arousing in the framework of electroencephalography (EEG) is the possibility to recognize, by means of a recorded surface potential, the number of activated areas in the brain. In the present paper, employing a homogeneous spherical conductor serving as an approximation of the brain, we provide a criterion which determines whether the measured surface potential is evoked by a single or multiple localized neuronal excitations. We show that the uniqueness of the inverse problem for a single dipole is closely connected with attaining certain relations connecting the measured data. Further, we present the necessary and sufficient conditions which decide whether the collected data originates from a single dipole or from numerous dipoles. In the case where the EEG data arouses from multiple parallel dipoles, an isolation of the source is, in general, not possible.
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    Topics: Mathematics
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