Applying nonlinear dynamic theory to one-dimensional pulsating detonations

Abstract

The dynamical behaviour of one-dimensional pulsating detonations was investigated in detail, with the aid of nonlinear theory tools such as phase plots and correlation dimension. The period-doubling cascade, as routes to deterministic chaos, is depicted through the transformations of the shapes of the attractors. Using a correlation dimension method, the dimension of the attractors is determined and we show that the chaos within a one-dimensional pulsating detonation is deterministic.

Keywords:

• detonation
• nonlinear theory
• chaos
• one-dimensional
• instability

Acknowledgment

This work is supported by the Natural Science and Engineering Research Council of Canada (NSERC).