The real and complex Lorenz equations in rotating fluids and lasers
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Publication:995148
DOI10.1016/0167-2789(82)90053-7zbMath1194.76280OpenAlexW1964480025MaRDI QIDQ995148
John D. Gibbon, Mark J. McGuinness
Publication date: 13 September 2010
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(82)90053-7
General theory of rotating fluids (76U05) Lasers, masers, optical bistability, nonlinear optics (78A60)
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Cites Work
- Unnamed Item
- The complex Lorenz equations
- On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
- Amplitude equations at the critical points of unstable dispersive physical systems
- Evolution of baroclinic wave packets in a flow with continuous shear and stratification
- Nonlinear wave packets in the Kelvin-Helmholtz instability
- Deterministic Nonperiodic Flow
- The Post-Buckling Problem for Thin Elastic Shells
