On the non-linear stability of the 1:1:1 ABC flow

On the non-linear stability of the 1:1:1 ABC flow

Source :

• Physica D: Nonlinear Phenomena [ 0167-2789 ] ; 1994.

Descripteurs français

• Wicri :
  • topic : Chiffre d'affaires.

English descriptors

• KwdEn :
  • Attractor, Attractors regime, Basic flow, Basic frequencies, Basic modes, Beltrami, Beltrami flow, Beltrami flows, Bifurcation, Cambridge univ, Chaotic, Chaotic behavior, Chaotic dynamics, Chaotic flow, Chaotic oscillations, Chaotic regime, Chaotic streamlines, Chaotic transitions, Chaotic type, Characteristic wavenumber, Coherent structures, Collapse phase, Comptes rendus acad, Contour lines, Convection, Corresponding frequency spectrum, Cyclic permutations, Dynamical, Dynamical system, Dynamical systems, Dynamo, Dynamo action, Dynamo problem, Eddy turnover times, Eigenvalue, Energy levels, Energy spectra, Energy spectrum, Exponent, Exponential departure, First attempt, First bifurcation, First lyapunov exponent, Fluid dynamics, Fluid mech, Fourier, Fourier modes, Fourier space, Frequency spectrum, Good candidates, Grid, Growth rate, Hamiltonian systems, Helical flows, Helicity, Heteroclinic, Heteroclinic connections, High reynolds numbers, Independent symmetries, Individual modes, Initial condition, Initial conditions, Initial perturbation, Initial perturbations, Instability, Isaac newton institute, Kinematic dynamo problem, Kolmogorov flow, Large reynolds numbers, Linear analysis, Linear growth rate, Linear instability, Linear operator, Linear regime, Looses stability, Lorenz attractor, Lyapunov, Magnetic field, Magnetic field generation, Main regimes, Mathematical sciences, Maximal energy, Mech, Moderate reynolds numbers, Natural logarithm, Nonlinear terms, Numerical calculations, Numerical chaos, Numerical investigation, Numerical methods, Oscillation, Other hand, Other symmetries, Periodic boundary conditions, Periodic flow, Periodicity cube, Perturbation, Perturbation energy, Perturbation increases, Phys, Physica, Physical space, Planetary dynamos, Plateau, Podvigina, Pouquet, Pouquet physica, Present paper, Present study, Previous regime, Real part, Regime iiib, Relaminarization window, Relative energy, Relative helicity, Relaxation phase, Reynolds, Reynolds number, Reynolds numbers, Same succession, Same symmetries, Small perturbation, Small reynolds number, Small scales, Spatial resolution, Stable manifold, Stable solution, Stagnation points, Steady flow, Steady flows, Steady solution, Steady solutions, Streamlines, Study institute, Such dynamos, Such flows, Symmetry, Temporal, Temporal behavior, Temporal chaos, Temporal evolution, Temporal frequency spectrum, Temporal schemes, Third component, Time intervals, Time step, Time yields, Total energy, Transition phase, Turbulence, Turbulent boundary layer, Turbulent flow, Turbulent flows, Turnover, Turnover time, Turnover times, Unit wavelength, Unstable manifold, Velocity field, Vestnik moscow state univ, Vorticity explosions, Wavenumber, Wavenumber unity.
• Teeft :
  • Attractor, Attractors regime, Basic flow, Basic frequencies, Basic modes, Beltrami, Beltrami flow, Beltrami flows, Bifurcation, Cambridge univ, Chaotic, Chaotic behavior, Chaotic dynamics, Chaotic flow, Chaotic oscillations, Chaotic regime, Chaotic streamlines, Chaotic transitions, Chaotic type, Characteristic wavenumber, Coherent structures, Collapse phase, Comptes rendus acad, Contour lines, Convection, Corresponding frequency spectrum, Cyclic permutations, Dynamical, Dynamical system, Dynamical systems, Dynamo, Dynamo action, Dynamo problem, Eddy turnover times, Eigenvalue, Energy levels, Energy spectra, Energy spectrum, Exponent, Exponential departure, First attempt, First bifurcation, First lyapunov exponent, Fluid dynamics, Fluid mech, Fourier, Fourier modes, Fourier space, Frequency spectrum, Good candidates, Grid, Growth rate, Hamiltonian systems, Helical flows, Helicity, Heteroclinic, Heteroclinic connections, High reynolds numbers, Independent symmetries, Individual modes, Initial condition, Initial conditions, Initial perturbation, Initial perturbations, Instability, Isaac newton institute, Kinematic dynamo problem, Kolmogorov flow, Large reynolds numbers, Linear analysis, Linear growth rate, Linear instability, Linear operator, Linear regime, Looses stability, Lorenz attractor, Lyapunov, Magnetic field, Magnetic field generation, Main regimes, Mathematical sciences, Maximal energy, Mech, Moderate reynolds numbers, Natural logarithm, Nonlinear terms, Numerical calculations, Numerical chaos, Numerical investigation, Numerical methods, Oscillation, Other hand, Other symmetries, Periodic boundary conditions, Periodic flow, Periodicity cube, Perturbation, Perturbation energy, Perturbation increases, Phys, Physica, Physical space, Planetary dynamos, Plateau, Podvigina, Pouquet, Pouquet physica, Present paper, Present study, Previous regime, Real part, Regime iiib, Relaminarization window, Relative energy, Relative helicity, Relaxation phase, Reynolds, Reynolds number, Reynolds numbers, Same succession, Same symmetries, Small perturbation, Small reynolds number, Small scales, Spatial resolution, Stable manifold, Stable solution, Stagnation points, Steady flow, Steady flows, Steady solution, Steady solutions, Streamlines, Study institute, Such dynamos, Such flows, Symmetry, Temporal, Temporal behavior, Temporal chaos, Temporal evolution, Temporal frequency spectrum, Temporal schemes, Third component, Time intervals, Time step, Time yields, Total energy, Transition phase, Turbulence, Turbulent boundary layer, Turbulent flow, Turbulent flows, Turnover, Turnover time, Turnover times, Unit wavelength, Unstable manifold, Velocity field, Vestnik moscow state univ, Vorticity explosions, Wavenumber, Wavenumber unity.

Abstract

• https://api.istex.fr/document/53F9C2773ACBF444CFDDC9AA100A1953BE0562E0/fulltext/pdf

Affiliations:

• Australie, France, Royaume-Uni, Russie
• District fédéral central, Nouvelle-Galles du Sud, Provence-Alpes-Côte d'Azur
• Moscou, Nice, Sydney
• Université de Sydney

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