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  • Open Access

    REVIEW

    Harmonic Balance Methods: A Review and Recent Developments

    Zipu Yan1,2, Honghua Dai1,2,*, Qisi Wang1,2, Satya N. Atluri3

    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.2, pp. 1419-1459, 2023, DOI:10.32604/cmes.2023.028198

    Abstract The harmonic balance (HB) method is one of the most commonly used methods for solving periodic solutions of both weakly and strongly nonlinear dynamical systems. However, it is confined to low-order approximations due to complex symbolic operations. Many variants have been developed to improve the HB method, among which the time domain HB-like methods are regarded as crucial improvements because of their fast computation and simple derivation. So far, there are two problems remaining to be addressed. i) A dozen of different versions of HB-like methods, in frequency domain or time domain or in hybrid, have been developed; unfortunately, misclassification… More >

  • Open Access

    ARTICLE

    Cancellable Multi-Biometric Template Generation Based on Arnold Cat Map and Aliasing

    Ahmed M. Ayoup1,*, Ashraf A. M. Khalaf1, Walid El-Shafai2,3, Fathi E. Abd El-Samie2, Fahad Alraddady4, Salwa M. Serag Eldin4,5

    CMC-Computers, Materials & Continua, Vol.72, No.2, pp. 3687-3703, 2022, DOI:10.32604/cmc.2022.025902

    Abstract The cancellable biometric transformations are designed to be computationally difficult to obtain the original biometric data. This paper presents a cancellable multi-biometric identification scheme that includes four stages: biometric data collection and processing, Arnold's Cat Map encryption, decimation process to reduce the size, and final merging of the four biometrics in a single generated template. First, a 2D matrix of size 128 × 128 is created based on Arnold's Cat Map (ACM). The purpose of this rearrangement is to break the correlation between pixels to hide the biometric patterns and merge these patterns together for more security. The decimation is performed to… More >

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