Dynamics, Synchronization and Electronic Implementations of a New Lorenz-like Chaotic System with Nonhyperbolic Equilibria

The Lorenz system has attracted increasing attention on the issue of its simplification in order to produce the simplest three-dimensional chaotic systems suitable for secure information processing...

[1]  Julien Clinton Sprott,et al.  Simple Chaotic flows with One Stable equilibrium , 2013, Int. J. Bifurc. Chaos.

[2]  Jamal Daafouz,et al.  Adaptive synchronization of uncertain chaotic colpitts oscillators based on parameter identification , 2005 .

[3]  Ahmed S. Elwakil,et al.  Experimental Verification of the Butterfly Attractor in a Modified Lorenz System , 2002, Int. J. Bifurc. Chaos.

[4]  Julien Clinton Sprott,et al.  Elementary quadratic chaotic flows with no equilibria , 2013 .

[5]  Julien Clinton Sprott,et al.  A New Piecewise Linear Hyperchaotic Circuit , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.

[6]  Julien Clinton Sprott,et al.  Are Perpetual Points Sufficient for Locating Hidden Attractors? , 2017, Int. J. Bifurc. Chaos.

[7]  Xianyi Li,et al.  Dynamical properties and simulation of a new Lorenz-like chaotic system , 2011 .

[8]  Julien Clinton Sprott,et al.  Variable-boostable chaotic flows , 2016 .

[9]  Ahmed S. Elwakil,et al.  Creation of a complex butterfly attractor using a novel Lorenz-Type system , 2002 .

[10]  Luigi Fortuna,et al.  Nonideal Behavior of Analog Multipliers for Chaos Generation , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.

[11]  Leo R. M. Maas,et al.  The diffusionless Lorenz equations; Shil'nikov bifurcations and reduction to an explicit map , 2000 .

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

[13]  Junan Lu,et al.  A Simple Yet Complex One-parameter Family of Generalized Lorenz-like Systems , 2011, Int. J. Bifurc. Chaos.

[14]  Luis Fernando Mello,et al.  Nonlinear analysis in a Lorenz-like system , 2010 .

[15]  Qigui Yang,et al.  Dynamics of a new Lorenz-like chaotic system , 2010 .

[16]  Julien Clinton Sprott,et al.  Simple chaotic systems and circuits , 2000 .

[17]  Teh-Lu Liao,et al.  Adaptive synchronization of chaotic systems and its application to secure communications , 2000 .

[18]  Marcelo Messias,et al.  Bifurcation analysis of a new Lorenz-like chaotic system , 2008 .

[19]  Julien Clinton Sprott,et al.  Infinite Multistability in a Self-Reproducing Chaotic System , 2017, Int. J. Bifurc. Chaos.

[20]  Qiang Lai,et al.  Constructing Chaotic System With Multiple Coexisting Attractors , 2019, IEEE Access.

[21]  Sezgin Kaçar.  Analog circuit and microcontroller based RNG application of a new easy realizable 4D chaotic system , 2016 .

[22]  Qiang Lai,et al.  Dynamic analysis, circuit realization, control design and image encryption application of an extended Lü system with coexisting attractors , 2018, Chaos, Solitons & Fractals.

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

[24]  Luigi Fortuna,et al.  A Simple Chaotic Flow with a Continuously Adjustable Attractor Dimension , 2015, Int. J. Bifurc. Chaos.

[25]  Jiangang Zhang,et al.  Nonlinear dynamics and circuit implementation for a new Lorenz-like attractor , 2009 .

[26]  M Kaur,et al.  Efficient image encryption method based on improved Lorenz chaotic system , 2018 .

[27]  Sundarapandian Vaidyanathan,et al.  A chaotic system with infinite equilibria located on a piecewise linear curve , 2016 .

[28]  Kehui Sun,et al.  Periodically Forced Chaotic System with Signum Nonlinearity , 2010, Int. J. Bifurc. Chaos.

[29]  Chun-Lai Li,et al.  Dynamics, implementation and stability of a chaotic system with coexistence of hyperbolic and non-hyperbolic equilibria , 2018 .

[30]  Julien Clinton Sprott,et al.  Linearization of the Lorenz system , 2015 .

[31]  Qiang Lai,et al.  A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design , 2017, Entropy.

[32]  Mo Chen,et al.  Coexistence of Multiple Attractors in an Active Diode Pair Based Chua's Circuit , 2018, Int. J. Bifurc. Chaos.

[33]  Qiang Lai,et al.  Generating Multiple Chaotic Attractors from Sprott B System , 2016, Int. J. Bifurc. Chaos.

[34]  Rigoberto Martínez-Clark,et al.  A New Simple Chaotic Lorenz-Type System and Its Digital Realization Using a TFT Touch-Screen Display Embedded System , 2017, Complex..

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

[36]  Qiang Lai,et al.  Coexisting attractors generated from a new 4D smooth chaotic system , 2016 .

[37]  Julien Clinton Sprott,et al.  Categorizing Chaotic Flows from the Viewpoint of Fixed Points and Perpetual Points , 2017, Int. J. Bifurc. Chaos.

[38]  Christos Volos,et al.  Coexistence of hidden chaotic attractors in a novel no-equilibrium system , 2017 .

[39]  Viet-Thanh Pham,et al.  Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization , 2018 .