Natural convection in a vertical channel. Part 2. Oblique solutions and global bifurcations in a spanwise-extended domain.

The text explores the evolution of natural convection in a vertical channel, focusing on fixed points (FP) and periodic orbits (PO) in the system. It discusses various bifurcations, including homoclinic and heteroclinic bifurcations, leading to the termination of periodic orbits. The research aims to understand the dynamics of turbulent flows and the role of periodic orbits in chaotic systems, with a focus on fluid dynamics, convection, and turbulence. The document includes investigations into periodic orbits for Navier-Stokes flows, inclined layer convection, unstable periodic orbits, and standing waves in Couette-Taylor flow, among other topics. [Extracted from the article]