A chaotic mapping that displays its own homoclinic structure
We describe some properties of a two-dimensional non-linear mapping which has been derived from a differential equation model of turbulence. For certain parameter values the mapping displays chaotic behaviour. Owing to the peculiar way in which the phase space expands and contracts, parts of the attractor follow the oscillatory invariant curves associated with homoclinic points in non-integrable systems.
transition from laminar to turbulent flow
differential equation model of turbulence
scientific article; zbMATH DE number 3934628