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Strange nonchaotic attractors in a fifth-order amplitude equation of Rayleigh–Bénard system near the codimension-two point

Author

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  • Ketchamen, E.J. Ngamga
  • Nana, L.
  • Kofane, T.C.

Abstract

We consider a fifth-order amplitude equation for a codimension-two bifurcation point in the presence of a periodically modulated Rayleigh number. It is found, by analysis of Poincaré surfaces and a construction of the bifurcation diagram, that the system exhibits strange nonchaotic behaviour close to the codimension-two point. The Lyapunov exponents associated with these trajectories are calculated using a new method that exploits the underlying symplectic structure of Hamiltonian dynamics.

Suggested Citation

  • Ketchamen, E.J. Ngamga & Nana, L. & Kofane, T.C., 2006. "Strange nonchaotic attractors in a fifth-order amplitude equation of Rayleigh–Bénard system near the codimension-two point," Chaos, Solitons & Fractals, Elsevier, vol. 28(5), pages 1139-1148.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:5:p:1139-1148
    DOI: 10.1016/j.chaos.2004.09.102
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    Cited by:

    1. Tusen, Huang, 2007. "Some properties of attractors and quasi-attractors," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 531-537.

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