Novel discrete chaotic system via fractal transformation and its DSP implementation

Designing a discrete chaotic system via fractal transformation has become a new method for engineering applications. This method generates new discrete chaotic system through external mechanisms, i...

[1]  Jian Liu,et al.  Characteristic analysis of the fractional-order hyperchaotic complex system and its image encryption application , 2020, Signal Process..

[2]  Dong Peng,et al.  Parameter Identification of Fractional-Order Discrete Chaotic Systems , 2019, Entropy.

[3]  Aslam Muhammad,et al.  A Robust Watermarking Scheme for Online Multimedia Copyright Protection Using New Chaotic Map , 2018, Secur. Commun. Networks.

[4]  M. Edelman.  On stability of fixed points and chaos in fractional systems. , 2017, Chaos.

[5]  Xingyuan Wang,et al.  Spatiotemporal chaos in mixed linear–nonlinear two-dimensional coupled logistic map lattice , 2018 .

[6]  Jinhu Lu,et al.  Design and Smartphone-Based Implementation of a Chaotic Video Communication Scheme via WAN Remote Transmission , 2016, Int. J. Bifurc. Chaos.

[7]  Xiao Li-Quan,et al.  Julia fractal based multi-scroll memristive chaotic system , 2018 .

[8]  Xingyuan Wang,et al.  Spatiotemporal chaos in mixed linear–nonlinear coupled logistic map lattice , 2014 .

[9]  Hayder Natiq,et al.  A new hyperchaotic map and its application for image encryption , 2018, The European Physical Journal Plus.

[10]  Yicong Zhou,et al.  A new 1D chaotic system for image encryption , 2014, Signal Process..

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

[12]  Kehui Sun,et al.  Solution and dynamics of a fractional-order 5-D hyperchaotic system with four wings , 2017 .

[13]  Long Wang,et al.  Dynamical analysis and passive control of a new 4D chaotic system with multiple attractors , 2018, Modern Physics Letters B.

[14]  Lilian Huang,et al.  A new color image encryption using combination of the 1D chaotic map , 2017, Signal Process..

[15]  Wangjie Qiu,et al.  A colour image encryption algorithm using 4-pixel Feistel structure and multiple chaotic systems , 2015, Nonlinear Dynamics.

[16]  Yue Wu,et al.  Image encryption using the two-dimensional logistic chaotic map , 2012, J. Electronic Imaging.

[17]  Kais Bouallegue,et al.  Gallery of Chaotic Attractors Generated by Fractal Network , 2015, Int. J. Bifurc. Chaos.

[18]  Kehui Sun,et al.  A hyperchaotic map with grid sinusoidal cavity , 2018 .

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

[20]  T. Xia,et al.  Image encryption technique based on new two-dimensional fractional-order discrete chaotic map and Menezes?Vanstone elliptic curve cryptosystem* , 2018 .

[21]  Di He,et al.  Chaotic characteristics of a one-dimensional iterative map with infinite collapses , 2001 .

[22]  Majid Khan,et al.  A novel image encryption scheme based on multiple chaotic S-boxes , 2015, Nonlinear Dynamics.

[23]  Yicong Zhou,et al.  2D Sine Logistic modulation map for image encryption , 2015, Inf. Sci..

[24]  Kehui Sun,et al.  Complexity Analysis and DSP Implementation of the Fractional-Order Lorenz Hyperchaotic System , 2015, Entropy.

[25]  Tanmoy Banerjee,et al.  A simple chaotic and hyperchaotic time-delay system: design and electronic circuit implementation , 2016 .

[26]  Yicong Zhou,et al.  Image encryption using 2D Logistic-adjusted-Sine map , 2016, Inf. Sci..

[27]  Jia Liu,et al.  Spatiotemporal chaos of fractional order logistic equation in nonlinear coupled lattices , 2017, Commun. Nonlinear Sci. Numer. Simul..

[28]  K. Bouallegue.  Chaotic attractors with separated scrolls. , 2015, Chaos.

[29]  Kais Bouallegue,et al.  Multi-scroll and multi-wing chaotic attractor generated with Julia process fractal , 2011 .

[30]  Guoyuan Qi,et al.  A multi-wing spherical chaotic system using fractal process , 2016 .

[31]  Guanrong Chen,et al.  Design and ARM-Embedded Implementation of a Chaotic Map-Based Real-Time Secure Video Communication System , 2015, IEEE Transactions on Circuits and Systems for Video Technology.

[32]  Kehui Sun,et al.  Design of multiwing-multiscroll grid compound chaotic system and its circuit implementation , 2018, International Journal of Modern Physics C.

[33]  M. Hénon,et al.  A two-dimensional mapping with a strange attractor , 1976 .