Abstract
In this paper we will show that turbulent motions in confined convecting fluid are well understood in the frame of the theory of non-linear dynamical systems with a small number of degrees of freedom.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
P. Berge, Y. Pomeau and C. Vidal, Order within chaos (translated from l’ordre dans le chaos by L. Tuckerman) Wiley interscience Hermann (1986)
E. Ott, Strange attractors and chaotic motions of dynamical systems, Review of Modern Physics, 53, 655 (1981)
M.I. Rabinovich, Stochastic self-oscillations and turbulence, Soviet Physics Uspekhi, 21, 443 (1978)
C. Normand, Y. Pomeau and M.G. Velarde, Convective instability: a physicist’s approach Review of Modern Physics 49, 581 (1977)
P. Berge and M. Dubois, Rayleigh Benard Convection Contemporary Physics, 25, n°6 535 (1984)
J.P. Eckmann, Roads to turbulence in dissipative dynamical systems, Review of Modern Physics, 53, 643 (1981)
J.P. Gollub, S.V. Benson, Many routes to turbulent convection, Journal of Fluid Mechanics, 100, 449 (1980)
M. Dubois and P. Bergé, Experimental evidence for the oscillators in a convective biperiodic regime, Physics Letters 76A, 53 (1980)
M. Dubois and P. Bergé, Instabilité de couche limite dans un fluide en convection. Evolution vers la turbulence, Journal de Physique, 42, 167 (1981)
M. Dubois and P. Bergé, V. Croquette, Etude de régimes convectifs instationnaires à l’aide des diagrammes de Poincaré, Comptes Rendus dé l’Académie des Sciences de Paris, C293 409 (1981)
M. Dubois, Experimental aspects of the transition to turbulence in Rayleigh Benard convection in “Stability of Thermodynamic System”, Lecture Notes in Physics 164 177 (1981)
P. Bergé, Study of the phase space diagrams through experimental Poincaré sections in prechaotic and chaotic regimes, Physica Script Ti, 71 (1982)
F. Takens, in “Dynamical Systems and Turublence”, Lecture Notes in Mathematics 898 Springer Verlag, Berlin (1981)
P. Grassberger, I. Procaccia, Characterization of strange attractors, Physical Review Letters, 50, 346 (1983)
B. Malraison, P. Atten, P. Bergé, M. Dubois, Dimension d’attracteurs étranges: une détermination expérimentale en régime chaotique de deux systèmes convectifs, Comptes Rendus de 1 ’ Académie des Sciences de Paris, C297 209 (1983)
A. Brandstäter, J. Swift, H.L. Swinney, A. Wolf, J.D. Farmer, E. Jen, J.P. Crutchfield, Low dimensional chaos in a system, Physical Review Letters, 51, 1442 (1983)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bergé, P. (1987). Chaotic Behaviour in a Non-Linear System: Turbulence in Rayleigh Benard Convection. In: Comte-Bellot, G., Mathieu, J. (eds) Advances in Turbulence. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83045-7_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-83045-7_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83047-1
Online ISBN: 978-3-642-83045-7
eBook Packages: Springer Book Archive