Abstract
A novel four-dimensional hyperchaotic system is presented in this paper. The basic dynamic properties of the new system are investigated. First Lyapunov exponents and Lyapunov dimension are calculated, then Poincare diagrams, power spectrum, time domain chart and phase diagram are studied, furthermore, spectrum of Lypunov exponents and bifurcation diagram are analyzed. The numerical simulation results prove the feasibility and effectiveness of the proposed system.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Lorenz, E.N.: The Essence of Chaos. University of Washington Press, Washington (1993)
Chen, G.R., Lu, J.H.: Dynamics of the Lorenz System Family: Analysis, Control, and Synchronization. Science Press, Beijing (2003)
Rossler, O.E.: An equation for hyperchaos. Phys. Lett. 71, 155–157 (1979)
Kapitaniak, T., Chua, L.O.: Hyperchaotic attractor of unidirectionally-coupled Chua’s circuit. Int. J. Bifurcat Chaos 4, 477–482 (1994)
Goedgebuer, J., Levy, P., Larger, L., Chen, C.C., Rhodes, W.T.: Optical Communications with synchronized hyperchaos generated electro-optical. IEEE J. Quant. Electr. 38, 1178 (2002)
Udaltsov, V.S., Goedgebuer, J.P., Larger, L., Cuenot, J.B., Levy, P., Rhodes, W.T.: Communicating with hyper-chaos: the dynamics of a DNLF emitter and recovery of transmitted information. Opt. Spectr. 95, 114–118 (2003)
Brucoli, M., Carnimeo, L., Grassi, L.: A method for the synchronization of hyper-chaotic circuit. Int. J. Bifurcat Chaos 6, 1673–1681 (1996)
Tsubone, T., Saito, T.: Hyperchaos from a 4-D manifold piecewisw-Linear system. IEEE Trans. Circ. Syst. I 45, 889–894 (1998)
Li, Y.X., Chen, G., Tang, W.K.S.: Controlling a unified chaotic system to hyperchaotic. IEEE Trans. Circ. Sys. II 52, 204–207 (2005)
Nikolov, S., Clodong, S.: Occrttence of regular, chaotic and hyperchaotic behavior in a family of modified Rossler hyperchaotic systems. Chaos, Solitons & Fractals 24, 407–431 (2004)
Cafagna, D., Grassi, G.: New 3D-scroll attractors in hyper-chaotic Chua’s circuits forming a ring. Int. J. Bifurcat Chaos 13, 2889–2903 (2003)
Liu, Z.H.: Fundamentals and Applications of Chaotic Dynamics, p. 18. High Education Press, Beijing (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tang, L., Zhao, L., Zhang, Q. (2011). A Novel Four-Dimensional Hyperchaotic System. In: Zhang, J. (eds) Applied Informatics and Communication. ICAIC 2011. Communications in Computer and Information Science, vol 226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23235-0_51
Download citation
DOI: https://doi.org/10.1007/978-3-642-23235-0_51
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23234-3
Online ISBN: 978-3-642-23235-0
eBook Packages: Computer ScienceComputer Science (R0)