On the nature of turbulence

Keywords

Complex system, Turbulence, Statistical physics, Physics, Mathematics

References

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• One-dimensional non-wandering setsR. F. Williams — 1967
• Foundations Of MechanicsRalph Abraham, Hugh D. Young — 2019
• Existence of convective solutions of the generalized Bénard problem which are analytic in their normPaul C. Fife, D. D. Joseph — 1969
• Existence and nonuniqueness of rectangular solutions of the Bénard problemPaul H. Rabinowitz — 1968
• Sur le mouvement d'un liquide visqueux emplissant l'espaceJean Leray — 1934
• The stable, center-stable, center, center-unstable, unstable manifoldsAl Kelley — 1967
• Topological methods in the theory of nonlinear integral equationsE. H. Rothe, M. A. Krasnosel’skii, A. H. Armstrong — 1968
• The Bifurcation of a Rotating Flow of LiquidV. I. Yudovich — 1967
• The Institute of Advanced Study at PrincetonH. M. Fitzpatrick — 1932
• Differentiable dynamical systemsStephen T. Smale — 1967
• One-parameter families of diffeomorphismsP. Brunovksý — 1971

Cited by

• Recent Progress in Dynamical Systems TheoryRalph Abraham — 2009
• A few results and open problems regarding incompressible fluidsPeter Constantin — 1995
• Physical basis of long-range persistence in the climate systemÓscar J. Mesa, Vijay Gupta — 2008
• Periodicity, mixed-mode oscillations, and quasiperiodicity in a rhythm-generating neural network.Josefa Romero Ródenas — 2002
• Chaos, Topology, and Social OrganizationRuss Marion — 1992
• The chaotic time series of Indian monsoon rainfall and its predictionSujit Basu, H. I. Andharia — 1992
• Hyperbolic chaotic attractor in amplitude dynamics of coupled self-oscillators with periodic parameter modulation.О. Б. Исаева, С. П. Кузнецов, Erik Mosekilde — 2011
• Local Causal States and Discrete Coherent Structures磯次郎 吉村, 紀代子 種村, 基行 篠田 — 2018
• Etude du couplage instationnaire calculs-expériences en écoulements turbulentsLaurent Perret — 2004
• Connectionist models of catergorization : a dynamical approach to cognition.Tijsseling Ag — 1998
• Unstable breathing rhythms and quasiperiodicity in the pre-Bötzinger complex.Christopher A. Del Negro, Christopher G. Wilson, Robert J. Butera — 2001
• Application of large eddy interaction model to a mixing layerS. Narasimha Murthy — 1989
• Vibrational Resonance and Cognitive InternalizationRalph Abraham — 2000
• Dynamics of layered Jahn–Teller crystals of rare-earth compounds (Review)V. I. Kut’ko — 2005
• Caos determinista en un modelo de mercado especulativoFernando Fernández Rodríguez — 1996
• Changement catégoriel et transition de phase : les catégories perceptives comme des attracteursEmmanuel Viglieno — 2013
• Formation of Nonlinear Structures in Hydrodynamic-Type SystemsА. Р. Каримов, H. Schamel, V. A. Shcheglov — 2003
• ON THE DRAG OF FLUID AND SOLID PARTICLES FREELY MOVING IN A CONTINUOUS MEDIUMIgor Haljasmaa — 2006
• Error Estimate for Retrieving Parameters of a Nonlinear Map from Noisy Chaotic Time SeriesO. Ya. Butkovsky, Yu. A. Kravtsov, M. Yu. Logunov — 2002
• Chaotic behavior of MHD flow in a sheared magnetic fieldQiu Xiaoming, Xiaogang Wang — 1987

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