Free Access
Math. Model. Nat. Phenom.
Volume 6, Number 1, 2011
Instability and patterns. Issue dedicated to the memory of A. Golovin
Page(s) 138 - 148
Published online 09 June 2010
  1. T. M. Antonsen, Z. Fan, E. Ott, E. Garcia-Lopes. The role of chaotic orbits in the determination of power spectra of passive scalars. Phys. Fluids, 8 (1996), 3094–3104. [NASA ADS] [CrossRef] [Google Scholar]
  2. L. M. Pismen. Differential flow induced chemical instability and Turing instability for Couette flow. Phys. Rev. E, 58 (1998), 4524–4531. [CrossRef] [Google Scholar]
  3. J. Huisman, N. N. P. Thi, D. M. Karl, B. Sommeijer. Reduced mixing generates oscillations and chaos in the oceanic deep chlorophyll maximum. Nature, 439 (2002), 322–325. [CrossRef] [Google Scholar]
  4. Y. Khazan, L. M. Pismen. Differential flow induced chemical instability on a rotating disk. Phys. Rev. Lett., 75 (1995), 4318–4321. [CrossRef] [PubMed] [Google Scholar]
  5. M. Leconte, J. Martin, N. Rakotomalala, D. Salin. Pattern of reaction diffusion fronts in laminar flows. Phys. Rev. Lett., 90 (2002), 128302. [Google Scholar]
  6. G. Nicolis, G. Prigogine. Self-organization in nonequilibrium systems: from dissipative structures to order through fluctuations. Wiley & Sons, New York, 1977. [Google Scholar]
  7. A. S. Pikovsky. Spatial development of chaos in nonlinear media. Phys. Lett. A, 137 (1989), 121–127. [CrossRef] [MathSciNet] [Google Scholar]
  8. A. Pikovsky, O. Popovych. Persistent patterns in deterministic mixing flows. Europhys. Lett., 61 (2003), 625–631. [CrossRef] [Google Scholar]
  9. L. Pismen. Patterns and interfaces in dissipative dynamics. Springer, Berlin, 2006. [Google Scholar]
  10. D. Rothstein, E. Henry, J. P. Gollub. Persistent patterns in transient chaotic fluid mixing. Nature, 401 (1999), 770–772. [CrossRef] [Google Scholar]
  11. A. B. Rovinsky, M. Menzinger. Differential flow instability in dynamical systems without an unstable (activator) subsystem. Phys. Rev. Lett., 72 (1994), 2017–2020. [CrossRef] [PubMed] [Google Scholar]
  12. A. Straube, M. Abel, A. Pikovsky. Temporal chaos versus spatial mixing in reaction-advection-diffusion systems. Phys. Rev. Lett., 93 (2004), 174501. [CrossRef] [PubMed] [Google Scholar]
  13. T. Tél, A. de Moura, C. Grebogi, G. Károlyi. Chemical and biological activity in open flows: a dynamical system approach. Physics Reports, 413 (2005), 91–196. [Google Scholar]
  14. A. M. Turing. The chemical basis of morphogenesis, Philos. Trans. Roy. Soc. London, Ser. B 237 (1952), 37–72. [Google Scholar]
  15. D. A. Vasquez Chemical instability induced by a shear flow. Phys. Rev. Lett., 93 (2004), 104501. [CrossRef] [PubMed] [Google Scholar]
  16. V. Z. Yakhnin, A. B. Rovinsky, M. Menzinger. Convective instability induced by differential transport in the tubular packed-bed reactor. Chemical Engineering Science, 50 (1995), 2853–2859. [CrossRef] [Google Scholar]

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