Extended logistic map for encryption of digital images
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Hanis Stanley
and
Amutha Ramachandran
Abstract
A novel extended logistic map has been proposed and tested mathematically for security-based applications. Because the designed extended logistic map behaves chaotically across a wide range of logistic control parameters, it is extremely difficult to predict using even the most exhaustive search methods. The map overcomes a significant drawback of simple logistic mapping, which is commonly used in encryption algorithms. The chaotic map designed was also used as a key to shuffle the pixel position of the image for the image shuffling algorithm developed. The algorithm developed produced excellent results and is adequate for providing an encrypted image in resource-constrained systems. Performance results show that this map is highly chaotic and provides high security when applied in image encryption systems.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Coordinated target tracking in sensor networks by maximizing mutual information
- Legendre wavelet residual approach for moving boundary problem with variable thermal physical properties
- Computational study of intravenous magnetic drug targeting using implanted magnetizable stent
- Extended logistic map for encryption of digital images
- Valuation of the American put option as a free boundary problem through a high-order difference scheme
- Power minimization of gas transmission network in fully transient state using metaheuristic methods
- A priori error estimates for finite element approximations to transient convection-diffusion-reaction equations in fluidized beds
- Higher order rogue waves for the(3 + 1)-dimensional Jimbo–Miwa equation
- Dynamic characteristics of supersonic turbulent free jets from four types of circular nozzles
- New insights into singularity analysis
- Chaos and bifurcations in a discretized fractional model of quasi-periodic plasma perturbations
- Wavelet collocation methods for solving neutral delay differential equations
- Numerical solution of highly non-linear fractional order reaction advection diffusion equation using the cubic B-spline collocation method
- Solving nonlinear third-order boundary value problems based-on boundary shape functions
- Positive radial solutions for Dirichlet problems involving the mean curvature operator in Minkowski space
- Effect of outlet impeller diameter on performance prediction of centrifugal pump under single-phase and cavitation flow conditions
- A fractional-order ship power system: chaos and its dynamical properties
- Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar
- Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations
- Modelling and numerical synchronization of chaotic system with fractional-order operator
