Abstract
This paper proposes a new 3D autonomous chaotic system which displays complicated dynamical behavior over a large range of parameters. This new chaotic system has five equilibrium points. Interestingly, this new system can generate two coexisting one-wing attractors with different initial conditions. Besides, this system can generate two-wing and four-wing chaotic attractors with variation of only one parameter. Some basic dynamical behaviors of the proposed chaotic system, such as equilibrium points, bifurcation diagram and Lyapunov exponents are investigated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lorenz EN (1963) Deterministic nonperiodic flow. J Atmos Sci 20:130–141
Chen G, Ueta T (1999) Yet another chaotic attractor. Int J Bifurcat Chaos 9:1465–1470
Lü JH, Chen GR, Cheng DZ, Celikovsky S (2002) Bridge the gap between the Lorenz system and the Chen system. Int J Bifurcat Chaos 12:2917–2926
Lü JH, Chen GR (2002) A new chaotic attractor coined. Int J Bifurcat Chaos 12:659–661
Liu CX, Liu T, Liu L, Liu K (2004) A new chaotic attractor. Chaos Solitons Fractals 22:1031–1038
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yang, X. (2013). A New Three-Dimensional Chaotic System with Different Wing. In: Lu, W., Cai, G., Liu, W., Xing, W. (eds) Proceedings of the 2012 International Conference on Information Technology and Software Engineering. Lecture Notes in Electrical Engineering, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34522-7_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-34522-7_9
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34521-0
Online ISBN: 978-3-642-34522-7
eBook Packages: EngineeringEngineering (R0)