Finite-dimensional dynamical system modeling thermal instabilities
The authors describe an underlying free boundary model, summarize its analytical properties and present certain relevant features of its dynamical behavior. Through the pseudo-spectral approximation the authors derive a three-dimensional system of ordinary differential equations, that is the main subject of the paper. By the system of ordinary differential equations a detailed description of dynamics exhibited is given. There are presented results of numerical simulations, that demonstrate a rich variety of dynamical scenarios.
scientific article; zbMATH DE number 1417775