A Novel Fractional Sine Chaotic Map and Its Application to Image Encryption and Watermarking Dhakshinamoorthy Vignesh, Nur Aisyah Abdul Fataf, Santo Banerjee Applied Sciences Switzerland, 2023 This article addresses the telecommunications industry’s priority of ensuring information security during the transition to next-generation networks. It proposes an image encryption system that combines watermarking techniques and a discrete fractional sine chaotic map. The authors also incorporate the principles of blockchain to enhance the security of transmitted and received image data. The proposed system utilizes a newly developed sine chaotic map with a fractional difference operator, exhibiting long-term chaotic dynamics. The complexity of this map is demonstrated by comparing it with three other fractional chaotic maps from existing literature, using bifurcation diagrams and the largest Lyapunov exponent. The authors also show the map’s sensitivity to changes in initial conditions through time-series diagrams. To encrypt images, the authors suggest a method involving watermarking of two secret images and encryption based on blockchain technology. The cover image is watermarked with the two hidden images using discrete wavelet transformations. Then, the image pixels undergo diffusion using a chaotic matrix generated from the discrete fractional sine chaotic map. This encryption process aims to protect the image data and make it resistant to unauthorized access. To evaluate the algorithm, the authors perform statistical analysis and critical sensitivity analysis to examine its characteristics. They also analyse different attacks to assess the algorithm’s ability to resist such threats and maintain image quality after decryption. The results demonstrate that the proposed algorithm effectively defends against attacks and ensures image security.
Type Space with a A,–a Contraction JGM Mary, R Uthayakumar, NAA Fataf Interplay of Fractals and Complexity in Mathematical Modelling and Physical … , 2025 2025
An Appraisal on the Fractal Dimension M Priya, AA Navish, R Uthayakumar, NAA Fataf Interplay of Fractals and Complexity in Mathematical Modelling and Physical … , 2025 2025
On the integral transform of fractal interpolation functions A Agathiyan, A Gowrisankar, NAA Fataf Mathematics and Computers in Simulation 222, 209-224 , 2024 2024 Citations: 9
Enhancing chaos in multistability regions of Duffing map for an image encryption algorithm: H. Natiq et al. H Natiq, A Roy, S Banerjee, AP Misra, NAA Fataf Soft Computing 27 (24), 19025-19043 , 2023 2023 Citations: 15
Chaotic dynamics of fractional difference magnetic levitation model with application to image encryption D Vignesh, S He, NAA Fataf The European Physical Journal Special Topics 232 (14), 2675-2691 , 2023 2023 Citations: 2
Synchronization of discrete time fractional order neuromuscular models in the presence and absence of stimulus D Vignesh, NAA Fataf, MF Abdul Rahim Physica Scripta 98 (10), 105242 , 2023 2023 Citations: 2
Remarks on the integral transform of non-linear fractal interpolation functions A Agathiyan, A Gowrisankar, NAA Fataf, J Cao Chaos, Solitons & Fractals 173, 113749 , 2023 2023 Citations: 12
Explicit relation between Fourier transform and fractal dimension of fractal interpolation functions A Agathiyan, NAA Fataf, A Gowrisankar The European Physical Journal Special Topics 232 (7), 1077-1091 , 2023 2023 Citations: 11
A novel fractional sine chaotic map and its application to image encryption and watermarking D Vignesh, NAA Fataf, S Banerjee Applied Sciences 13 (11), 6556 , 2023 2023 Citations: 14
Implementation model of network security for Royal Malaysian Navy network TS Lin, A Ahmad, NAA Fataf AIP Conference Proceedings 2617 (1), 050004 , 2022 2022
Nonlinear Wave Structures in Six-Component Cometary Ion-Pair Dusty Plasma PK Prasad, J Tamang, NABA Fataf Nonlinear Dynamics and Applications: Proceedings of the ICNDA 2022, 115-125 , 2022 2022 Citations: 1
Characterizing noise-induced chaos and multifractality of a finance system S Mukherjee, NAA Fataf, MFA Rahim, H Natiq The European Physical Journal Special Topics 230 (21), 3873-3879 , 2021 2021 Citations: 2
A communication scheme based on fractional order chaotic laser for internet of things NAA Fataf, MFA Rahim, S He, S Banerjee Internet of Things 15, 100425 , 2021 2021 Citations: 22
Studying the Dynamics and Complexity of a 3D Laser Plasma System MFA Rahim, H Natiq, NAA Fataf Solid State Phenomena 317, 556-563 , 2021 2021 Citations: 1
Dynamical Properties and Synchronization Between Two Chaotic Blood Flow Models NAA Fataf, NAL Aladdin, AS Normurniyati Advances in Fluid Dynamics: Selected Proceedings of ICAFD 2018, 865-875 , 2020 2020
In search of self-similar chaotic attractors based on fractal function with variable scaling approximately NAA Fataf, A Gowrisankar, S Banerjee Physica Scripta 95 (7), 075206 , 2020 2020 Citations: 37
Dynamics of a new hyperchaotic system and multistability MF Abdul Rahim, H Natiq, NAA Fataf, S Banerjee The European Physical Journal Plus 134 (10), 499 , 2019 2019 Citations: 55
Complexity in the muscular blood vessel model with variable fractional derivative and external disturbances S He, NAA Fataf, S Banerjee, K Sun Physica A: Statistical Mechanics and its Applications 526, 120904 , 2019 2019 Citations: 39
CHAOS SYNCHRONIZATION OF LOGISTICS, QI AND MAXWELL-BLOCH SYSTEMS FOR CHAOS-BASED COMMUNICATION NAA FATAF 2018
Tail dependence between rainfall characteristics using Copula: The case of Pahang state MF Fauzi, UFA Rauf, P Zeephongsekul, NAA Fataf RMIT University , 2018 2018
MOST CITED SCHOLAR PUBLICATIONS
Dynamics of a new hyperchaotic system and multistability MF Abdul Rahim, H Natiq, NAA Fataf, S Banerjee The European Physical Journal Plus 134 (10), 499 , 2019 2019 Citations: 55
Complexity in the muscular blood vessel model with variable fractional derivative and external disturbances S He, NAA Fataf, S Banerjee, K Sun Physica A: Statistical Mechanics and its Applications 526, 120904 , 2019 2019 Citations: 39
In search of self-similar chaotic attractors based on fractal function with variable scaling approximately NAA Fataf, A Gowrisankar, S Banerjee Physica Scripta 95 (7), 075206 , 2020 2020 Citations: 37
A communication scheme based on fractional order chaotic laser for internet of things NAA Fataf, MFA Rahim, S He, S Banerjee Internet of Things 15, 100425 , 2021 2021 Citations: 22
Communication scheme using a hyperchaotic semiconductor laser model: Chaos shift key revisited NAA Fataf, SK Palit, S Mukherjee, MRM Said, DH Son, S Banerjee The European Physical Journal Plus 132 (11), 492 , 2017 2017 Citations: 16
Enhancing chaos in multistability regions of Duffing map for an image encryption algorithm: H. Natiq et al. H Natiq, A Roy, S Banerjee, AP Misra, NAA Fataf Soft Computing 27 (24), 19025-19043 , 2023 2023 Citations: 15
A novel fractional sine chaotic map and its application to image encryption and watermarking D Vignesh, NAA Fataf, S Banerjee Applied Sciences 13 (11), 6556 , 2023 2023 Citations: 14
Remarks on the integral transform of non-linear fractal interpolation functions A Agathiyan, A Gowrisankar, NAA Fataf, J Cao Chaos, Solitons & Fractals 173, 113749 , 2023 2023 Citations: 12
Explicit relation between Fourier transform and fractal dimension of fractal interpolation functions A Agathiyan, NAA Fataf, A Gowrisankar The European Physical Journal Special Topics 232 (7), 1077-1091 , 2023 2023 Citations: 11
On the integral transform of fractal interpolation functions A Agathiyan, A Gowrisankar, NAA Fataf Mathematics and Computers in Simulation 222, 209-224 , 2024 2024 Citations: 9
Complexity in synchronized and non-synchronized states: A comparative analysis and application SK Palit, NAA Fataf, MR Md Said, S Mukherjee, S Banerjee The European Physical Journal Special Topics 226 (10), 2219-2234 , 2017 2017 Citations: 8
Synchronization between two discrete chaotic systems for secure communications NAA Fataf, S Mukherjee, MRM Said, UFA Rauf, AD Hina, S Banerjee 2016 IEEE Sixth International Conference on Communications and Electronics … , 2016 2016 Citations: 6
Generalized projective series synchronization between chaotic systems and its application NAA Fataf, MRM Said Journal of Fundamental and Applied Sciences 9 (3S), 294-307 , 2017 2017 Citations: 3
Chaotic dynamics of fractional difference magnetic levitation model with application to image encryption D Vignesh, S He, NAA Fataf The European Physical Journal Special Topics 232 (14), 2675-2691 , 2023 2023 Citations: 2
Synchronization of discrete time fractional order neuromuscular models in the presence and absence of stimulus D Vignesh, NAA Fataf, MF Abdul Rahim Physica Scripta 98 (10), 105242 , 2023 2023 Citations: 2
Characterizing noise-induced chaos and multifractality of a finance system S Mukherjee, NAA Fataf, MFA Rahim, H Natiq The European Physical Journal Special Topics 230 (21), 3873-3879 , 2021 2021 Citations: 2
Nonlinear Wave Structures in Six-Component Cometary Ion-Pair Dusty Plasma PK Prasad, J Tamang, NABA Fataf Nonlinear Dynamics and Applications: Proceedings of the ICNDA 2022, 115-125 , 2022 2022 Citations: 1
Studying the Dynamics and Complexity of a 3D Laser Plasma System MFA Rahim, H Natiq, NAA Fataf Solid State Phenomena 317, 556-563 , 2021 2021 Citations: 1
Type Space with a A,–a Contraction JGM Mary, R Uthayakumar, NAA Fataf Interplay of Fractals and Complexity in Mathematical Modelling and Physical … , 2025 2025
An Appraisal on the Fractal Dimension M Priya, AA Navish, R Uthayakumar, NAA Fataf Interplay of Fractals and Complexity in Mathematical Modelling and Physical … , 2025 2025