A finite-dimensional dynamical system is derived from a coupled system of partial differential
equations modeling the thermoacoustic oscillations inside a solid rocket motor. The …

The dynamics and oscillatory instabilities of multi-spike solutions to the one-dimensional
Gray-Scott reaction–diffusion system on a finite domain are studied in a particular parameter …

The propagation of planar combustion waves in an adiabatic model with two-step chain-
branching reaction mechanism is investigated. The travelling combustion wave becomes …

In this paper we study multiphase models for simultaneous heat and mass transfer
processes during bread baking. Our main objective is to provide an explanation and a …

We investigate the geometric features in the bifurcation and chaos of a partial differential
equation describing the unsteady combustion of solid propellants. Driven by the interaction …

The bifurcation analysis of nonlinear combustion instability in a Rijke burner is studied
numerically. First, a saturated flame model and a third-order saturated flame model are …

One-and two-parameter families of flows in R3 near an Andronov–Hopf bifurcation (AHB)
are investigated in this work. We identify conditions on the global vector field, which yield a …

The influence of heat-losses on the flame dynamics in narrow samples of energetic material
is investigated numerically. The model is reduced to a one-dimensional form with the flame …

The present paper points out a novel scenario for the formation of chaotic attractors in a
class of models of excitable cell membranes near an Andronov–Hopf bifurcation (AHB). The …

In this paper, we analyze a simple free boundary model associated with solid combustion
and some phase transition processes. There is strong evidence that this “one-phase” model …