A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis

[1]  G. Leonov,et al.  Hidden attractors in dynamical systems , 2016 .

[2]  Aceng Sambas,et al.  A new three-dimensional chaotic system with a hidden attractor, circuit design and application in wireless mobile robot , 2017 .

[3]  Ashraf A. Zaher,et al.  An improved chaos-based secure communication technique using a novel encryption function with an embedded cipher key , 2009 .

[4]  Aceng Sambas,et al.  Analysis, synchronisation and circuit implementation of a novel jerk chaotic system and its application for voice encryption , 2017, Int. J. Model. Identif. Control..

[5]  Jianping Cai,et al.  Synchronization of hyperchaotic systems with multiple unknown parameters and its application in secure communication , 2016 .

[6]  Julien Clinton Sprott,et al.  Constructing chaotic systems with conditional symmetry , 2017 .

[7]  Xiangjun Wu,et al.  A new color image cryptosystem via hyperchaos synchronization , 2014, Commun. Nonlinear Sci. Numer. Simul..

[8]  Jacques Kengne,et al.  A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors , 2018, Chaos, Solitons & Fractals.

[9]  Zhihong Zhou,et al.  Image compression–encryption scheme based on hyper-chaotic system and 2D compressive sensing , 2016 .

[10]  Leon O. Chua,et al.  EXPERIMENTAL OBSERVATION OF ANTIMONOTONICITY IN CHUA'S CIRCUIT , 1993 .

[11]  Jacques Kengne,et al.  Dynamic analysis of a unique jerk system with a smoothly adjustable symmetry and nonlinearity: Reversals of period doubling, offset boosting and coexisting bifurcations , 2018, AEU - International Journal of Electronics and Communications.

[12]  G. A. Leonov Generalized Lorenz Equations for Acoustic-Gravity Waves in the Atmosphere. Attractors Dimension, Convergence and Homoclinic Trajectories , 2017 .

[13]  Viet-Thanh Pham,et al.  A Novel Four-Dimensional Hyperchaotic Four-Wing System With a Saddle–Focus Equilibrium , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.

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

[15]  Sundarapandian Vaidyanathan,et al.  Advances in Chaos Theory and Intelligent Control , 2016, Advances in Chaos Theory and Intelligent Control.

[16]  Sundarapandian Vaidyanathan,et al.  Advances and Applications in Nonlinear Control Systems , 2016 .

[17]  Aceng Sambas,et al.  A Six-Term Novel Chaotic System with Hidden Attractor and Its Circuit Design , 2018 .

[18]  S. Vaidyanathan,et al.  A new 4-D chaotic hyperjerk system, its synchronization, circuit design and applications in RNG, image encryption and chaos-based steganography , 2018 .

[19]  Cristiane Stegemann,et al.  Lyapunov exponent diagrams of a 4-dimensional Chua system. , 2011, Chaos.

[20]  Julien Clinton Sprott,et al.  Multistability in symmetric chaotic systems , 2015 .

[21]  D. Baleanu,et al.  New aspects of the adaptive synchronization and hyperchaos suppression of a financial model , 2017 .

[22]  Sundarapandian Vaidyanathan,et al.  Adaptive Backstepping Controller Design for the Anti - Synchronization of Identical WINDMI Chaotic Systems with Unknown Parameters and its SPICE Implementation , 2015 .

[23]  Yong Zhang,et al.  The unified image encryption algorithm based on chaos and cubic S-Box , 2018, Inf. Sci..

[24]  Sundarapandian Vaidyanathan,et al.  Advances and Applications in Chaotic Systems , 2016, Studies in Computational Intelligence.

[25]  Jacques Kengne,et al.  Dynamical analysis of a novel autonomous 4-D hyperjerk circuit with hyperbolic sine nonlinearity: Chaos, antimonotonicity and a plethora of coexisting attractors , 2018 .

[26]  P. Rech Hyperchaos and quasiperiodicity from a four-dimensional system based on the Lorenz system , 2017 .

[27]  O. Rössler An equation for hyperchaos , 1979 .

[28]  Jacques Kengne,et al.  Remerging Feigenbaum trees, and multiple coexisting bifurcations in a novel hybrid diode-based hyperjerk circuit with offset boosting , 2019 .

[29]  Aceng Sambas,et al.  A Novel 4-D Hyperchaotic Rikitake Dynamo System with Hidden Attractor, its Properties, Synchronization and Circuit Design , 2018 .

[30]  Sundarapandian Vaidyanathan,et al.  A new four-scroll chaotic attractor and its engineering applications , 2016 .

[31]  Alireza Khayatian,et al.  Secure communication for non-ideal channel via robust TS fuzzy observer-based hyperchaotic synchronization , 2018 .

[32]  Sundarapandian Vaidyanathan,et al.  A 5-D hyperchaotic Rikitake dynamo system with hidden attractors , 2015 .

[33]  Julien Clinton Sprott,et al.  Coexisting Hidden Attractors in a 4-D Simplified Lorenz System , 2014, Int. J. Bifurc. Chaos.

[34]  Sundarapandian Vaidyanathan,et al.  Adaptive Controller and Synchronizer Design for the Qi-Chen Chaotic System , 2012 .

[35]  Sundarapandian Vaidyanathan,et al.  Hybrid Synchronization of Hyperchaotic Qi and Lü Systems by Nonlinear Control , 2011 .

[36]  Ioannis M. Kyprianidis,et al.  Antimonotonicity and Chaotic Dynamics in a Fourth-Order Autonomous nonlinear Electric Circuit , 2000, Int. J. Bifurc. Chaos.

[37]  Chuandong Li,et al.  Lag synchronization of hyperchaos with application to secure communications , 2005 .

[38]  G. Leonov Analytical analysis of a Nose–Hoover generator , 2016 .

[39]  Sundarapandian Vaidyanathan,et al.  Analysis, Control, and Synchronization of a 3-D Novel Jerk Chaotic System with Two Quadratic Nonlinearities , 2015 .

[40]  Sundarapandian Vaidyanathan,et al.  A Chaotic System With Equilibria Located on the Rounded Square Loop and Its Circuit Implementation , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.

[41]  Jacques Kengne,et al.  Coexisting bifurcations in a memristive hyperchaotic oscillator , 2018, AEU - International Journal of Electronics and Communications.

[42]  Sundarapandian Vaidyanathan,et al.  LabVIEW implementation of chaotic masking with adaptively synchronised forced Van der Pol oscillators and its application in real-time image encryption , 2017, Int. J. Simul. Process. Model..