Generalized double-humped logistic map-based medical image encryption

Graphical abstract

[1]  Emil E. Pacurar,et al.  Database integration of protocol-specific neurological imaging datasets , 2016, NeuroImage.

[2]  Xing-yuan Wang,et al.  A chaotic image encryption algorithm based on perceptron model , 2010 .

[3]  Aloka Sinha,et al.  Chaos-based secure communication system using logistic map , 2010 .

[4]  Xingyuan Wang,et al.  A novel chaotic image encryption scheme using DNA sequence operations , 2015 .

[5]  A. Pisarchik,et al.  Image encryption with chaotically coupled chaotic maps , 2008 .

[6]  Elaine B. Barker,et al.  A Statistical Test Suite for Random and Pseudorandom Number Generators for Cryptographic Applications , 2000 .

[7]  S. Som,et al.  A Non-adaptive Partial Encryption of Grayscale Images based on Chaos , 2013 .

[8]  Qiang Zhang,et al.  A Novel Image Encryption Scheme Based on DNA Coding and Multi-Chaotic Maps , 2010 .

[9]  Mohammed Affan Zidan,et al.  Random number generation based on digital differential chaos , 2011, 2011 IEEE 54th International Midwest Symposium on Circuits and Systems (MWSCAS).

[10]  Samrat L. Sabat,et al.  A fast chaotic block cipher for image encryption , 2014, Commun. Nonlinear Sci. Numer. Simul..

[11]  Shiguo Lian,et al.  A novel color image encryption algorithm based on DNA sequence operation and hyper-chaotic system , 2012, J. Syst. Softw..

[12]  Ahmed M. Soliman,et al.  Generalized fractional logistic map encryption system based on FPGA , 2017 .

[13]  Salwa K. Abd-El-Hafiz,et al.  Symmetric encryption algorithms using chaotic and non-chaotic generators: A review , 2015, Journal of advanced research.

[14]  A. Pisarchik,et al.  Encryption and decryption of images with chaotic map lattices. , 2006, Chaos.

[15]  Hongjun Liu,et al.  Color image encryption based on one-time keys and robust chaotic maps , 2010, Comput. Math. Appl..

[16]  Urszula Foryś,et al.  THREE TYPES OF SIMPLE DDE'S DESCRIBING TUMOR GROWTH , 2007 .

[17]  Ahmed M. Soliman,et al.  Image encryption based on double-humped and delayed logistic maps for biomedical applications , 2017, 2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST).

[18]  Xingyuan Wang,et al.  Image encryption using DNA complementary rule and chaotic maps , 2012, Appl. Soft Comput..

[19]  Lin Teng,et al.  A novel colour image encryption algorithm based on chaos , 2012, Signal Process..

[20]  Kenneth Coiteux An Introductory Look at Deterministic Chaos , 2014 .

[21]  F. Gobal,et al.  Application of Chaotic Logistic Map for the interpretation of anion-insertion in poly-ortho-aminophenol films , 2000 .

[22]  Xing-Yuan Wang,et al.  A new image encryption algorithm based on non-adjacent coupled map lattices , 2015, Appl. Soft Comput..

[23]  Xing-Yuan Wang,et al.  A symmetric image encryption algorithm based on mixed linear-nonlinear coupled map lattice , 2014, Inf. Sci..

[24]  Vinod Patidar,et al.  A Pseudo Random Bit Generator Based on Chaotic Logistic Map and its Statistical Testing , 2009, Informatica.

[25]  Xingyuan Wang,et al.  A novel chaotic block image encryption algorithm based on dynamic random growth technique , 2015 .

[26]  D. Lathrop Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering , 2015 .

[27]  J. L. Del-Río-Correa,et al.  Numerical calculation of the lyapunov exponent for the logistic MAP , 2008, 2008 12th International Conference on Mathematical Methods in Electromagnetic Theory.

[28]  Godpromesse Kenné,et al.  A Simple and Robust Gray Image Encryption Scheme Using Chaotic Logistic Map and Artificial Neural Network , 2014, Adv. Multim..

[29]  Xingyuan Wang,et al.  Color image encryption using spatial bit-level permutation and high-dimension chaotic system , 2011 .

[30]  Marcel Ausloos,et al.  The logistic map and the route to chaos : from the beginnings to modern applications , 2006 .

[31]  Damian Słota,et al.  Cardano's formula, square roots, Chebyshev polynomials and radicals , 2010 .

[32]  Wei Zhang,et al.  A chaos-based symmetric image encryption scheme using a bit-level permutation , 2011, Inf. Sci..

[33]  Ricardo López-Ruiz,et al.  A chaotic gas-like model for trading markets , 2010, J. Comput. Sci..

[34]  Qiang Zhang,et al.  Image encryption using DNA addition combining with chaotic maps , 2010, Math. Comput. Model..

[35]  S. Agaian,et al.  NPCR and UACI Randomness Tests for Image Encryption , 2011 .

[36]  A. Radwan,et al.  Encryption Applications of a Generalized Chaotic Map , 2015 .

[37]  Gonzalo Álvarez,et al.  Some Basic Cryptographic Requirements for Chaos-Based Cryptosystems , 2003, Int. J. Bifurc. Chaos.

[38]  Vinod Patidar,et al.  Diffusion-substitution based gray image encryption scheme , 2013, Digit. Signal Process..

[39]  Chang'e Dong,et al.  Color image encryption using one-time keys and coupled chaotic systems , 2014, Signal Process. Image Commun..