Email this article Highly Complex Chaotic System with Piecewise Linear Nonlinearity and Compound Structures
Abstract
Keywords
References
[1]E.N. Lorenz, “Deterministic Nonperiodic Flow” J. Atmosphere and Science, vol. 20, 1963, pp. 130.
http://dx.doi.org/10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
[2]J. Lü, G. Chen. “A New Chaotic Attractor Coined.” J. Bifurcation and Chaos, vol. 12, No. 3, pp. 659-661, 2002.
http://dx.doi.org/10.1142/S0218127402004620
[3]W. Zhou, Y. Xu, H. Lu, and L. Pan, “On Dynamics Analysis of a New Chaotic Attractor”, J. Physics Letter A, vol. 372, 2008, pp. 5773-5777.
http://dx.doi.org/10.1016/j.physleta.2008.07.032
[4]X. F. Li, Y. D. Chu, J. G. Zhang, Y.X. Chang, “Nonlinear Dynamics and Circuit Implementation for a New Lorenz-like Attractor”, J. Chaos, Solitons & Fractals, vol. 41, No. 5, 2009, pp. 2360-2370.
[5]Y. Liu, Q.Yanga, “Dynamics of a New Lorenz-like Chaotic System”, J. Nonlinear Analysis: Real World Applications, vol. 11, 2010, pp. 2563-2572.
http://dx.doi.org/10.1016/j.nonrwa.2009.09.001
[6]Í. Pehlívan, Y. Uyaroĝlu, “A New Chaotic Attractor From General Lorenz System Family and iIts Electronic Experimental Implementation”, Turk J. Electrical Engineering & Computer Science, vol.18, No.2, 2010, pp.171-184.
[7]L. Pan, D. Xu, W. Zhou, “Controlling a Novel Chaotic Attractor using Linear Feedback”, J. Information and Computing Science, vol. 5, No. 2, 2010, pp.117-124.
[8]J. C. Sprott, “Some Simple Chaotic Flows”, J. Physical Reviews E, Vol. 50, 1994, pp.647-650.
http://dx.doi.org/10.1103/PhysRevE.50.R647
[9]G. Schrier, L.R.M. Maas, “The Diffusionless Lorenz Equations; Shil’nikov Bifurcations and Reduction to an Explicit Map, J. Physiscs D, vol. 141, 2000, pp. 19-36.
http://dx.doi.org/10.1016/S0167-2789(00)00033-6
[10]B. Munmuangsaen, B. Srisuchinwong, “A New Five-Term Simple Chaotic Attractor”, J. Physics Letters A, vol. 373, No. 44, 2009, pp. 4038-4043.
http://dx.doi.org/10.1016/j.physleta.2009.08.068
[11]J. C. Sprott, “Simplifications of the Lorenz Attractor”, J. Nonlinear Dynamics, Psychology, and Life Sciences, vol. 13, No. 3, 2009, pp. 271-278.
[12]A. S. Elwakil, S. Özôguz, M. P. Kennedy,” Creation of a Complex Butterfly Attractor Using a NovelLorenz-Type System”, IEEE Transaction on circuits and systems I, vol. 49, No. 4, 2002, pp.527-530.
[13]33J.-M. Malasoma, “What is the Simplest Dissipative Chaotic Jerk Equation Which is Parity iInvariant”, J. Physics Letters A, Vol. 264, 2000, pp. 383–389.
[14]J. C. Sprott, “Maximally Complex Simple Attractors”, Int. J. Chaos, vol. 17, 2007, pp. 033124.
http://dx.doi.org/10.1063/1.2781570
PMid:17903006
[15]X. Li, Q. Ou,” Dynamical Properties and Simulation of a New Lorenz-like Chaotic System”, J. Nonlinear dynamics, doi:10.1007/s11071-010-9887-z.
http://dx.doi.org/10.1007/s11071-010-9887-z
[16]L. Wang,” 3-Scroll and 4-Scroll Chaotic Attractors Generated from a New 3-D Quadratic Autonomous System” J. Nonlinear dynamics, vol. 56, 2009, pp. 453–462.
http://dx.doi.org/10.1007/s11071-008-9417-4
[17]S. Dadras, H. R. Momeni, G. Qi, “Analysis of a New 3D Smooth Autonomous System with Different Wing Chaotic Attractors and Transient Chaos”, J. Nonlinear dynamics, Vol. 62, pp. 391–405, 2010.
http://dx.doi.org/10.1007/s11071-010-9726-2
[18]J.C. Sprott, "Elegant Chaos: Algebraically Simple Chaotic Flows", World Scientific Publishing Company, 2010.
http://dx.doi.org/10.1142/9789812838827
[19]S. Celikovsky, C.Guanrong, “On the Generalized Lorenz Canonical Form”, J. Chaos Solitons and Fractals, vol. 5, 2005, pp.1271-1276.
http://dx.doi.org/10.1016/j.chaos.2005.02.040
[20]J. Lu, G. Chen, S. Zhang, “The Compound Structure of a new Chaotic Attractor”, J. Chaos, Solitons and Fractals, Vol. 14, 2002, pp. 669-672.
http://dx.doi.org/10.1016/S0960-0779(02)00007-3
[21]B. Srisuchinwong, B. Munmuangsaen, “A Highly Chaotic Attractor for a Dual-Channel Single-Attractor, Private Communication System”, Proceedings of the 3rd Chaotic Modeling & Simulation International Conference, 2010, pp. 177(1-8).
Full Text: PDF