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Title: O jedné formě skryté symetrie chaotických stavů atmosférických procesů (Czech)
Title: On a form of hidden symmetry of chaotic states of atmospheric processes (English)
Author: Horák, Jiří
Language: Czech
Journal: Pokroky matematiky, fyziky a astronomie
ISSN: 0032-2423
Volume: 48
Issue: 4
Year: 2003
Pages: 315-325
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Category: physics
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Date available: 2010-12-11T20:10:22Z
Last updated: 2012-08-26
Stable URL: http://hdl.handle.net/10338.dmlcz/141193
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Reference: [1] Dymnikov, V. P., Filatov, A. N.: Mathematics of Climate Modeling.Birkhäuser, Boston, Basel, Berlin 1997, 264 s. Zbl 0873.76002, MR 1426827
Reference: [2] Horák, J.: Equation of barotropic fluid on a rotating spherical surface and its inertial manifold.Studia geophys. et geodetica 44 (2000), 26–37.
Reference: [3] Foias, J., Sant, J. C.: On the smoothness of the nonlinear spectral manifolds associated to the NavierS̄tokes equations.Indiana Univ. Math. J. 33 (1984), 911–926. MR 0763949
Reference: [4] Dettman, C. P., Morris, G. P.: Proof of Lyapunov exponent pairing for systems at constant kinetic energy.Phys. Rev. E 53 (1996), 5541–5544.
Reference: [5] Dymnikov, V. P., Gricun, A. S.: Parnaja simetrija globalnych pokazatělej Ljapunova na attraktorach modelej dinamiki atmosfery.Izv. AN. Fizika atmosfery i okeana 37 (2001), 291–296. MR 1851892
Reference: [6] Horák, J., Krlín, L.: Deterministický chaos a matematické modely turbulence.Academia, Praha 1996, 444 s.
Reference: [7] Horák, J.: Systems of the Fluid Mechanical Type: Applications and Connections.Academia, Praha 1990, 116 s. MR 1061121
Reference: [8] Oseledec, V. I.: Multiplikativnaja ergodičeskaja teorema. Charakterističeskie pokazatěli Ljapunova dinamičeskich sistem.Trudy Moskevskogo matematičeskogo obščestva 19 (1969), 179–210. MR 0240280
Reference: [9] Horák, J.: Klima, objekt matematického zkoumání. Část 1. Matematický model klimatu.Pokroky mat. fyz. astronom. 4 (2001), 313–327.
Reference: [10] Arnoľd, V. I.: Matematičeskie metody klassičeskoj mechaniky.Nauka, Moskva 1974, 431 s. MR 0474390
Reference: [11] Ruelle, D.: Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics.Report IHRES, Burges sur Yvette 1999, 66 s. Zbl 0934.37010, MR 1705592
Reference: [12] Eckmann, J. P, Ruelle, D.: Ergodic theory of chaos and strange attractors.Rev. Modern. Physics 57 (1985), Pt. I. Zbl 0989.37516, MR 0800052
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