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

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

Chaos, Solitons & Fractals, 2006, vol. 28, issue 5, 1139-1148

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:5:p:1139-1148

DOI: 10.1016/j.chaos.2004.09.102

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