Applying nonlinear dynamic theory to one-dimensional pulsating detonations |
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| Authors: | Hamid Ait Abderrahmane Frederick Paquet Hoi Dick Ng |
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| Affiliation: | Department of Mechanical and Industrial Engineering , Concordia University , Montréal, Québec, Canada , H3G 1M8 |
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| 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. |
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| Keywords: | detonation nonlinear theory chaos one-dimensional instability |
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