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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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.",

keywords = "Chaos, Detonation, Instability, Nonlinear theory, One-dimensional",

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

note = "Funding Information: This work is supported by the Natural Science and Engineering Research Council of Canada (NSERC).",

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AU - Abderrahmane, Hamid Ait

AU - Paquet, Frederick

AU - Ng, Hoi Dick

N1 - Funding Information: This work is supported by the Natural Science and Engineering Research Council of Canada (NSERC).

PY - 2011/4

Y1 - 2011/4

N2 - 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.

AB - 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.

KW - Chaos

KW - Detonation

KW - Instability

KW - Nonlinear theory

KW - One-dimensional

UR - https://www.scopus.com/pages/publications/79952727227

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JO - Combustion Theory and Modelling

JF - Combustion Theory and Modelling

IS - 2

ER -

Applying nonlinear dynamic theory to one-dimensional pulsating detonations

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Keywords

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