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Chin. Phys. B, 2010, Vol. 19(6): 060506    DOI: 10.1088/1674-1056/19/6/060506
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Generating one-, two-, three- and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system

Sara Dadras and Hamid Reza Momeni
Automation and Instruments Lab, Electrical Engineering Department, Tarbiat Modares University, P.O. Box 14115-143, Tehran, Iran
Abstract  A new four-dimensional quadratic smooth autonomous chaotic system is presented in this paper, which can exhibit periodic orbit and chaos under the conditions on the system parameters. Importantly, the system can generate one-, two-, three- and four-scroll chaotic attractors with appropriate choices of parameters. Interestingly, all the attractors are generated only by changing a single parameter. The dynamic analysis approach in the paper involves time series, phase portraits, Poincaré maps, a bifurcation diagram, and Lyapunov exponents, to investigate some basic dynamical behaviours of the proposed four-dimensional system.
Keywords:  new smooth autonomous four-dimensional chaotic system      multi-scroll chaotic attractor      Poincaré mapping      bifurcation      Lyapunov exponent  
Received:  20 October 2009      Accepted manuscript online: 
PACS:  05.45.Ac (Low-dimensional chaos)  
  05.45.Tp (Time series analysis)  
  02.30.Uu (Integral transforms)  
  02.30.Yy (Control theory)  

Cite this article: 

Sara Dadras and Hamid Reza Momeni Generating one-, two-, three- and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system 2010 Chin. Phys. B 19 060506

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