Hyperchaos in convection with the Cattaneo-Christov heat-flux model

摘要

In this paper, we report on the nonlinear dynamics of a five-variable, four-parameter system, which models the effects of thermal relaxation time on Rayleigh-Benard convection of Boussinesq fluid layer heated underneath. Six cross-sections of the four-dimensional parameter-space are considered. By using Lyapunov exponents spectra to characterize the dynamical behavior at each point of each these diagrams, we show that different parameter regions are allowed, from equilibrium points to chaos and hyperchaos regions.