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 attractors' shapes. Using a correlation dimension method, the dimension of the attractors is determined and we show that the chaos within an one-dimensional pulsating detonation is deterministic.

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