Constructing n-dimensional discrete non-degenerate hyperchaotic maps using QR decomposition

[1]  Yicong Zhou,et al.  An $n$-Dimensional Chaotic System Generation Method Using Parametric Pascal Matrix , 2022, IEEE Transactions on Industrial Informatics.

[2]  Q. Lai,et al.  2D Hyperchaotic System Based on Schaffer Function for Image Encryption , 2022, Expert Systems with Applications.

[3]  Q. Ding,et al.  A universal method for constructing non-degenerate hyperchaotic systems with any desired number of positive Lyapunov exponents , 2022, Chaos, Solitons & Fractals.

[4]  Q. Ding,et al.  Counteracting the dynamic degradation of high-dimensional digital chaotic systems via a stochastic jump mechanism , 2022, Digit. Signal Process..

[5]  Lilian Huang,et al.  A construction method of N-dimensional non-degenerate discrete memristive hyperchaotic map , 2022, Chaos, Solitons & Fractals.

[6]  Q. Ding,et al.  A novel algorithm to analyze the dynamics of digital chaotic maps in finite-precision domain , 2022, Chinese Physics B.

[7]  Zhen Liu,et al.  Bifurcation and chaos analysis of nonlinear vibration in thin-walled components under thermal–mechanical coupling , 2022, Archive of Applied Mechanics.

[8]  Chao-Chung Peng,et al.  Parameters identification of nonlinear Lorenz chaotic system for high-precision model reference synchronization , 2022, Nonlinear Dynamics.

[9]  Han Bao,et al.  n-Dimensional Polynomial Chaotic System With Applications , 2022, IEEE Transactions on Circuits and Systems I: Regular Papers.

[10]  Qi Han,et al.  A Sensitive Image Encryption Algorithm Based on a Higher-Dimensional Chaotic Map and Steganography , 2022, Int. J. Bifurc. Chaos.

[11]  Hanping Hu,et al.  Bit cyclic shift method to reinforce digital chaotic maps and its application in pseudorandom number generator , 2021, Appl. Math. Comput..

[12]  Odemir Martinez Bruno,et al.  Chaotical PRNG based on composition of logistic and tent maps using deep-zoom , 2021, Chaos, Solitons & Fractals.

[13]  Sheng Liu,et al.  Cryptanalyzing Two Image Encryption Algorithms Based on a First-Order Time-Delay System , 2021, IEEE MultiMedia.

[14]  Mangal Deep Gupta,et al.  Hardware Efficient Pseudo-Random Number Generator Using Chen Chaotic System on FPGA , 2021, J. Circuits Syst. Comput..

[15]  Tie Qiu,et al.  Learning Both Dynamic-Shared and Dynamic-Specific Patterns for Chaotic Time-Series Prediction , 2020, IEEE Transactions on Cybernetics.

[16]  Qun Ding,et al.  Theoretical design of controlled digitized chaotic systems with periodic orbit of upper limit length in digital circuit , 2019, Nonlinear Dynamics.

[17]  Erivelton G. Nepomuceno,et al.  Image encryption using finite-precision error , 2019, Chaos, Solitons & Fractals.

[18]  Azman Samsudin,et al.  Enhancing unimodal digital chaotic maps through hybridisation , 2019, Nonlinear Dynamics.

[19]  Jin Bae Park,et al.  Fuzzy‐model‐based sampled‐data chaotic synchronisation under the input constraints consideration , 2019, IET Control Theory & Applications.

[20]  Ahmed M. Soliman,et al.  Reconfigurable chaotic pseudo random number generator based on FPGA , 2019, AEU - International Journal of Electronics and Communications.

[21]  Adem Kilicman,et al.  Designing an M-dimensional nonlinear model for producing hyperchaos , 2018, Chaos, Solitons & Fractals.

[22]  Qun Ding,et al.  Constructing Discrete Chaotic Systems with Positive Lyapunov Exponents , 2018, Int. J. Bifurc. Chaos.

[23]  Lingfeng Liu,et al.  Reducing the Dynamical Degradation by Bi-Coupling Digital Chaotic Maps , 2018, Int. J. Bifurc. Chaos.

[24]  Jinhu Lu,et al.  Constructing Higher-Dimensional Nondegenerate Hyperchaotic Systems with Multiple Controllers , 2017, Int. J. Bifurc. Chaos.

[25]  Lingfeng Liu,et al.  Delay-introducing method to improve the dynamical degradation of a digital chaotic map , 2017, Inf. Sci..

[26]  Jim Harkin,et al.  Counteracting Dynamical Degradation of Digital Chaotic Chebyshev Map via Perturbation , 2017, Int. J. Bifurc. Chaos.

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

[28]  J. Féjoz,et al.  Secular Instability in the Three-Body Problem , 2015, 1505.05389.

[29]  Lingfeng Liu,et al.  An analogue-digital mixed method for solving the dynamical degradation of digital chaotic systems , 2014, IMA J. Math. Control. Inf..

[30]  Iqtadar Hussain,et al.  A technique for digital steganography using chaotic maps , 2014 .

[31]  Guosi Hu,et al.  Generating hyperchaotic attractors with Three Positive Lyapunov Exponents via State Feedback Control , 2009, Int. J. Bifurc. Chaos.

[32]  B. Pompe,et al.  Permutation entropy: a natural complexity measure for time series. , 2002, Physical review letters.

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

[34]  Daniel D. Wheeler,et al.  Supercomputer Investigations of a Chaotic Encryption Algorithm , 1991, Cryptologia.

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

[36]  Claude E. Shannon,et al.  Communication theory of secrecy systems , 1949, Bell Syst. Tech. J..

[37]  You Rong-Yi,et al.  Phase space reconstruction of chaotic dynamical system based on wavelet decomposition , 2011 .