Nonlinear dynamics and chaos analysis of one-dimensional pulsating detonations
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Publication:5697433
DOI10.1080/13647830500098357zbMath1116.80312OpenAlexW2065857977MaRDI QIDQ5697433
Matei Ioan Radulescu, Hoi Dick Ng, Kevin R. Bates, Nikos Nikiforakis, C. B. Kiyanda, John H. S. Lee, Andrew J. Higgins
Publication date: 17 October 2005
Published in: Combustion Theory and Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/13647830500098357
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Cites Work
- Unnamed Item
- Determining Lyapunov exponents from a time series
- A nonlinear oscillator concept for one-dimensional pulsating detonations
- Quantitative universality for a class of nonlinear transformations
- A practical method for calculating largest Lyapunov exponents from small data sets
- Theoretical and Numerical Structure for Unstable One-Dimensional Detonations
- Calculation of linear detonation instability: one-dimensional instability of plane detonation
- Roads to turbulence in dissipative dynamical systems
- Period Three Implies Chaos
- One-dimensional numerical simulations of idealized detonations
- On the nonlinear stability and detonability limit of a detonation wave for a model three-step chain-branching reaction
- Linear stability of idealized detonations
- The dynamical limit of one-dimensional detonations
- Numerical simulations of pulsating detonations: I. Nonlinear stability of steady detonations
- Ergodic theory of chaos and strange attractors
- Pulsating instability of detonations with a two-step chain-branching reaction model: theory and numerics
- Simple mathematical models with very complicated dynamics
- Stability of Idealized One-Reaction Detonations
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