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Updated: Jul 6, 2026

Evolution of Staircase Structures in Diffusive Convection
Published on: September 5, 2018
Ruelle-Takens-Newhouse scenario in reaction-diffusion-convection system
Marcello Antonio Budroni1, Marco Masia, Mauro Rustici
1Dipartimento di Chimica, Università di Sassari, Via Vienna 2, Sassari, Italy.
Abstract:
Direct numerical simulations of the transition process from periodic to chaotic dynamics are presented for two variable Oregonator-diffusion model coupled with convection. Numerical solutions to the corresponding reaction-diffusion-convection system of equations show that natural convection can change in a qualitative way, the evolution of concentration distribution, as compared with convectionless conditions. The numerical experiments reveal distinct bifurcations as the Grashof number is increased. A transition to chaos similar to Ruelle-Takens-Newhouse scenario is observed. Numerical results are in agreement with the experiments.
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