Applying nonlinear dynamic theory to one-dimensional pulsating detonations

Hamid Ait Abderrahmane; Frederick Paquet; Hoi Dick Ng

doi:10.1080/13647830.2010.535566

Applying nonlinear dynamic theory to one-dimensional pulsating detonations

Hamid Ait Abderrahmane, Frederick Paquet, Hoi Dick Ng

Mechanical & Nuclear Engineering

Concordia University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 throughthetransformationsoftheshapesoftheattractors.Usingacorrelationdimension method, the dimension of the attractors is determined and we show that the chaos within a one-dimensional pulsating detonation is deterministic.

Original language	British English
Pages (from-to)	205-225
Number of pages	21
Journal	Combustion Theory and Modelling
Volume	15
Issue number	2
DOIs	https://doi.org/10.1080/13647830.2010.535566
State	Published - Apr 2011

Keywords

Chaos
Detonation
Instability
Nonlinear theory
One-dimensional

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10.1080/13647830.2010.535566

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author = "Abderrahmane, {Hamid Ait} and Frederick Paquet and Ng, {Hoi Dick}",

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KW - Instability

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KW - One-dimensional

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Applying nonlinear dynamic theory to one-dimensional pulsating detonations

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Keywords

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