Analyzing Devaney Chaos of a Sine-Cosine Compound Function System

The one-dimensional Sine map and Chebyshev map are classical chaotic maps, which have clear chaotic characteristics. In this paper, we establish a chaotic framework based on a Sine–Cosine compound ...

[1]  Zhiliang Zhu,et al.  A Novel Image Encryption Scheme Using the Composite Discrete Chaotic System , 2016, Entropy.

[2]  Guanrong Chen,et al.  YET ANOTHER CHAOTIC ATTRACTOR , 1999 .

[3]  Changpin Li,et al.  On the Marotto–Li–Chen theorem and its application to chaotification of multi-dimensional discrete dynamical systems , 2003 .

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

[5]  Yicong Zhou,et al.  Discrete Wheel-Switching Chaotic System and Applications , 2014, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  A. Devaney Geophysical Diffraction Tomography , 1984, IEEE Transactions on Geoscience and Remote Sensing.

[7]  Xiaoling Huang,et al.  Image encryption algorithm using chaotic Chebyshev generator , 2011, Nonlinear Dynamics.

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

[9]  E. Lorenz Deterministic nonperiodic flow , 1963 .

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

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

[12]  Cai Zhi-jie,et al.  Mathematical foundation of a new complexity measure , 2005 .

[13]  Guifeng Huang,et al.  Distributional chaos in a sequence , 2007 .

[14]  A. Wolf,et al.  Determining Lyapunov exponents from a time series , 1985 .

[15]  Paulo C. Rech,et al.  Chaos, Periodicity, and Quasiperiodicity in a Radio-Physical Oscillator , 2017, Int. J. Bifurc. Chaos.

[16]  Wojciech Mitkowski,et al.  Ergodic theory approach to chaos: Remarks and computational aspects , 2012, Int. J. Appl. Math. Comput. Sci..

[17]  Jacques M. Bahi,et al.  Theoretical Design and FPGA-Based Implementation of Higher-Dimensional Digital Chaotic Systems , 2015, IEEE Transactions on Circuits and Systems I: Regular Papers.

[18]  Zhiliang Zhu,et al.  An image encryption algorithm based on compound homogeneous hyper-chaotic system , 2017, Nonlinear Dynamics.

[19]  Yicong Zhou,et al.  Dynamic Parameter-Control Chaotic System , 2016, IEEE Transactions on Cybernetics.

[20]  Dongdong Lin,et al.  Cryptanalyzing an Image-Scrambling Encryption Algorithm of Pixel Bits , 2016, IEEE MultiMedia.

[21]  Yicong Zhou,et al.  Cascade Chaotic System With Applications , 2015, IEEE Transactions on Cybernetics.

[22]  Xiaole Fang,et al.  Theoretical Design and Circuit Implementation of Integer Domain Chaotic Systems , 2014, Int. J. Bifurc. Chaos.

[23]  Navin Rajpal,et al.  A robust image encryption algorithm resistant to attacks using DNA and chaotic logistic maps , 2015, Multimedia Tools and Applications.

[24]  Guanrong Chen,et al.  On the Dynamical Degradation of Digital Piecewise Linear Chaotic Maps , 2005, Int. J. Bifurc. Chaos.

[25]  P. Grassberger,et al.  Estimation of the Kolmogorov entropy from a chaotic signal , 1983 .

[26]  Akif Akgul,et al.  A new three-dimensional chaotic system, its dynamical analysis and electronic circuit applications , 2016 .

[27]  Xiaoling Huang,et al.  An image encryption algorithm based on hyper-chaos and DNA sequence , 2012, Multimedia Tools and Applications.

[28]  Dongdong Lin,et al.  Cryptanalyzing an Image Encryption Algorithm Based on Autoblocking and Electrocardiography , 2017, IEEE MultiMedia.