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    Two novel chaos-based algorithms for image and video watermarking

    , Article Iranian Journal of Electrical and Electronic Engineering ; Volume 8, Issue 2 , 2012 , Pages 97-107 ; 17352827 (ISSN) Mohammadi, S ; Talebi, S ; Hakimi, A ; Sharif University of Technology
    IJEEE  2012
    Abstract
    In this paper we introduce two innovative image and video watermarking algorithms. The paper's main emphasis is on the use of chaotic maps to boost the algorithms' security and resistance against attacks. By encrypting the watermark information in a one dimensional chaotic map, we make the extraction of watermark for potential attackers very hard. In another approach, we select embedding positions by a two dimensional chaotic map which enables us to satisfactorily distribute watermark information throughout the host signal. This prevents concentration of watermark data in a corner of the host signal which effectively saves it from being a target for attacks that include cropping of the... 

    A lightweight hierarchical authentication scheme for internet of things

    , Article Journal of Ambient Intelligence and Humanized Computing ; 2018 , Pages 1-13 ; 18685137 (ISSN) Akbarzadeh, A ; Bayat, M ; Zahednejad, B ; Payandeh, A ; Aref, M. R ; Sharif University of Technology
    Springer Verlag  2018
    Abstract
    The Internet of Things (IoT) technology enables numerous things with different processing power and storage capacity to communicate and share data with each other. Considering the constrained devices of the IoT network in terms of processing and storage, designing a lightweight authentication scheme is quite important. So in this paper, we propose a lightweight authentication scheme based on Chebyshev Chaotic Maps. In the proposed scheme we apply a hierarchical structure to define different access controls for various entities. We then provide a formal analysis via the BAN logic to show the security of our scheme. Moreover, we compare our proposed scheme with previous ones in terms of... 

    A lightweight hierarchical authentication scheme for internet of things

    , Article Journal of Ambient Intelligence and Humanized Computing ; Volume 10, Issue 7 , 2019 , Pages 2607-2619 ; 18685137 (ISSN) Akbarzadeh, A ; Bayat, M ; Zahednejad, B ; Payandeh, A ; Aref, M. R ; Sharif University of Technology
    Springer Verlag  2019
    Abstract
    The Internet of Things (IoT) technology enables numerous things with different processing power and storage capacity to communicate and share data with each other. Considering the constrained devices of the IoT network in terms of processing and storage, designing a lightweight authentication scheme is quite important. So in this paper, we propose a lightweight authentication scheme based on Chebyshev Chaotic Maps. In the proposed scheme we apply a hierarchical structure to define different access controls for various entities. We then provide a formal analysis via the BAN logic to show the security of our scheme. Moreover, we compare our proposed scheme with previous ones in terms of... 

    A secure and efficient chaotic maps based authenticated key-exchange protocol for smart grid

    , Article Wireless Personal Communications ; Volume 97, Issue 2 , 2017 , Pages 2551-2579 ; 09296212 (ISSN) Bayat, M ; Beheshti Atashgah, M ; Aref, M. R ; Sharif University of Technology
    Abstract
    Nicanfar and Leung proposed a multilayer consensus elliptic curve based password authenticated key-exchange (MCEPAK) protocol for smart grid. They claimed that their protocol is secure against possible attacks. In this paper, we show that the MCEPAK protocol is vulnerable to the dictionary attack and an adversary can obtain the passwords of the appliances by eavesdropping the communicated messages in the protocol. Moreover, we state that the passwords can be discovered by curious operators of the building area networks and the neighbor area networks. Theses weaknesses motivated us to introduce a chaotic maps based authenticated key exchange protocol for smart grid. To the best of our... 

    Minimum entropy control of chaos via online particle swarm optimization method

    , Article Applied Mathematical Modelling ; Vol. 36, Issue. 8 , 2012 , pp. 3931-3940 ; ISSN: 0307904X Sadeghpour, M ; Salarieh, H ; Alasty, A ; Sharif University of Technology
    Abstract
    One of the recently developed approaches for control of chaos is the minimum entropy (ME) control technique. In this method an entropy function based on the Shannon definition, is defined for a chaotic system. The control action is designed such that the entropy as a cost function is minimized which results in more regular pattern of motion for the system trajectories. In this paper an online optimization technique using particle swarm optimization (PSO) method is developed to calculate the control action based on ME strategy. The method is examined on some standard chaotic maps with error feedback and delayed feedback forms. Considering the fact that the optimization is online, simulation... 

    MEHRAB MAPS: One-dimensional piecewise nonlinear chaotic maps

    , Article International Journal of Bifurcation and Chaos ; Volume 22, Issue 5 , 2012 ; 02181274 (ISSN) Borujeni, S. E ; Eshghi, M ; Boroujeni, M. S ; Sharif University of Technology
    2012
    Abstract
    In this paper, we propose a new one-dimensional, two-segmental nonlinear map by combining tent, triangle and parabola curve functions. We call the proposed map, Mehrab map since its return maps shape is similar to an altar (which we call it "Mehrab"). Definition and properties of Mehrab map along with orbit diagrams, Lyapunov exponents, and its histograms are considered. To generate more uniform density function maps, two modified versions of the proposed Mehrab map are also defined. In the first modification of Mehrab map (FMM), vertical symmetry and transformation to the right are used. Sensitivity to initial condition and total chaotic range of FMM are medium. Probability density function... 

    On the fuzzy minimum entropy control to stabilize the unstable fixed points of chaotic maps

    , Article Applied Mathematical Modelling ; Vol. 35, issue. 3 , 2011 , pp. 1016-1023 ; ISSN: 0307904X Sadeghian, H ; Merat, K ; Salarieh, H ; Alasty, A ; Sharif University of Technology
    Abstract
    This paper presents a fuzzy algorithm for controlling chaos in nonlinear systems via minimum entropy approach. The proposed fuzzy logic algorithm is used to minimize the Shannon entropy of a chaotic dynamics. The fuzzy laws are determined in such a way that the entropy function descends until the chaotic trajectory of the system is replaced by a regular one. The Logistic and the Henon maps as two discrete chaotic systems, and the Duffing equation as a continuous one are used to validate the proposed scheme and show the effectiveness of the control method in chaotic dynamical systems  

    Minimum entropy control of chaos via online particle swarm optimization method

    , Article Applied Mathematical Modelling ; Volume 36, Issue 8 , 2012 , Pages 3931-3940 ; 0307904X (ISSN) Sadeghpour, M ; Salarieh, H ; Alasty, A ; Sharif University of Technology
    Elsevier  2012
    Abstract
    One of the recently developed approaches for control of chaos is the minimum entropy (ME) control technique. In this method an entropy function based on the Shannon definition, is defined for a chaotic system. The control action is designed such that the entropy as a cost function is minimized which results in more regular pattern of motion for the system trajectories. In this paper an online optimization technique using particle swarm optimization (PSO) method is developed to calculate the control action based on ME strategy. The method is examined on some standard chaotic maps with error feedback and delayed feedback forms. Considering the fact that the optimization is online, simulation... 

    On the fuzzy minimum entropy control to stabilize the unstable fixed points of chaotic maps

    , Article Applied Mathematical Modelling ; Volume 35, Issue 3 , 2011 , Pages 1016-1023 ; 0307904X (ISSN) Sadeghian, H ; Merat, K ; Salarieh, H ; Alasty, A ; Sharif University of Technology
    2011
    Abstract
    This paper presents a fuzzy algorithm for controlling chaos in nonlinear systems via minimum entropy approach. The proposed fuzzy logic algorithm is used to minimize the Shannon entropy of a chaotic dynamics. The fuzzy laws are determined in such a way that the entropy function descends until the chaotic trajectory of the system is replaced by a regular one. The Logistic and the Henon maps as two discrete chaotic systems, and the Duffing equation as a continuous one are used to validate the proposed scheme and show the effectiveness of the control method in chaotic dynamical systems