A Novel Five-Dimensional Three-Leaf Chaotic Attractor and Its Application in Image Encryption

This paper presents a novel five-dimensional three-leaf chaotic attractor and its application in image encryption. First, a new five-dimensional three-leaf chaotic system is proposed. Some basic dynamics of the chaotic system were analyzed theoretically and numerically, such as the equilibrium point, dissipative, bifurcation diagram, plane phase diagram, and three-dimensional phase diagram. Simultaneously, an analog circuit was designed to implement the chaotic attractor. The circuit simulation experiment results were consistent with the numerical simulation experiment results. Second, a convolution kernel was used to process the five chaotic sequences, respectively, and the plaintext image matrix was divided according to the row and column proportions. Lastly, each of the divided plaintext images was scrambled with five chaotic sequences that were convolved to obtain the final encrypted image. The theoretical analysis and simulation results demonstrated that the key space of the algorithm was larger than 10150 that had strong key sensitivity. It effectively resisted the attacks of statistical analysis and gray value analysis, and had a good encryption effect on the encryption of digital images.

[1]  D. Ravichandran,et al.  DNA Chaos Blend to Secure Medical Privacy , 2017, IEEE Transactions on NanoBioscience.

[2]  Shuliang Sun,et al.  A Novel Hyperchaotic Image Encryption Scheme Based on DNA Encoding, Pixel-Level Scrambling and Bit-Level Scrambling , 2018, IEEE Photonics Journal.

[3]  Yu Zhang,et al.  Breaking a chaotic image encryption algorithm based on perceptron model , 2011, Nonlinear Dynamics.

[4]  Safwan El Assad,et al.  A new chaos-based image encryption system , 2016, Signal Process. Image Commun..

[5]  Jan Sher Khan,et al.  A novel image encryption scheme based on orthogonal matrix, skew tent map, and XOR operation , 2017, Neural Computing and Applications.

[7]  Miguel Angel Murillo-Escobar,et al.  Suggested Integral Analysis for Chaos-Based Image Cryptosystems , 2019, Entropy.

[8]  Seong Oun Hwang,et al.  Chaos-based diffusion for highly autocorrelated data in encryption algorithms , 2015, Nonlinear Dynamics.

[9]  Abdul Hanan Abdullah,et al.  Image encryption using a synchronous permutation-diffusion technique , 2017 .

[10]  Yueping Li,et al.  A hyper-chaos-based image encryption algorithm using pixel-level permutation and bit-level permutation , 2017 .

[11]  Guanrong Chen,et al.  Generating Hyperchaos via State Feedback Control , 2005, Int. J. Bifurc. Chaos.

[12]  Chunhua Wang,et al.  A New Chaotic Image Encryption Scheme Using Breadth-First Search and Dynamic Diffusion , 2018, Int. J. Bifurc. Chaos.

[13]  S. Li,et al.  Cryptographic requirements for chaotic secure communications , 2003, nlin/0311039.

[14]  J. Sprott,et al.  Some simple chaotic flows. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  Hongbo Zhou,et al.  A digital image encryption algorithm based on bit-planes and an improved logistic map , 2017, Multimedia Tools and Applications.

[16]  Amgoth Srinivas,et al.  A Digital Image Encryption Algorithm Based on Bit-Planes and an Improved Logistic Map , 2020 .

[17]  Yide Ma,et al.  A Novel Delay Linear Coupling Logistics Map Model for Color Image Encryption , 2018, Entropy.

[18]  Vinod Patidar,et al.  Image encryption using chaotic logistic map , 2006, Image Vis. Comput..

[19]  Xiuli Chai,et al.  A fast chaos-based image encryption scheme with a novel plain image-related swapping block permutation and block diffusion , 2016, Multimedia Tools and Applications.

[20]  Zhiliang Zhu,et al.  An image encryption scheme using nonlinear inter-pixel computing and swapping based permutation approach , 2015, Commun. Nonlinear Sci. Numer. Simul..

[21]  Feng Han,et al.  Chaotic Image Encryption Algorithm Based on Bit Permutation and Dynamic DNA Encoding , 2017, Comput. Intell. Neurosci..

[22]  Liu Rui,et al.  New Algorithm for Color Image Encryption Using Improved 1D Logistic Chaotic Map , 2015 .

[23]  Sajad Jafari,et al.  A new chaotic system with hidden attractor and its engineering applications: analog circuit realization and image encryption , 2018, Analog Integrated Circuits and Signal Processing.

[24]  Zengqiang Chen,et al.  Image encryption based on a new total shuffling algorithm , 2008 .

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