About the mechanism of switching between standing and traveling waves is accompanied by a halving of the wavelength

Borina M.Y., Polezhaev A.A.
 pdf (587K)  / Annotation

List of references:

  1. М. Ю. Борина, А. А. Полежаев. Пространственно-временные структуры в многомерной активной среде, обусловленные многомодовым взаимодействием вблизи волновой бифуркации // Известия вузов, Прикладная нелинейная динамика. — 2012. — Т. 20, № 6. — С. 15–24.
  2. В. К. Ванаг. Волны и динамические структуры в реакционно-диффузионных системах. Реакция Белоусова–Жаботинского в обращенной микроэмульсии // УФН. — 2004. — Т. 174, № 9. — С. 991– 1010.
  3. M. Bertram, C. Beta, M. Pollmann, A. S. Mikhailov, H. H. Rotermund, G. Ertl. Pattern formation on the edge of chaos: Experiments with CO oxidation on a Pt(110) surface under global delayed feedback // Phys. Rev. E. — 2003. — V. 67. — 036208. — DOI: 10.1103/PhysRevE.67.036208. — ads: 2003PhRvE..67c6208B.
  4. K. Boronska, L.S. Tuckerman. Standing and travelling waves in cylindrical Rayleigh–Benard convection // J. Fluid Mech. — 2006. — V. 559. — P. 279–298. — DOI: 10.1017/S0022112006000309. — MathSciNet: MR2266169. — ads: 2006JFM...559..279B.
  5. A. E. Deane, E. Knobloch, J. Toomre. Traveling waves and chaos in thermosolutal convection // Phys. Rev. E. — 1987. — V. 36. — P. 2862–2869. — DOI: 10.1103/PhysRevA.36.2862. — MathSciNet: MR0958761.
  6. I. R. Epstein, I. B. Berenstein, M. Dolnik, V. K. Vanag, L. Yang, A. M. Zhabotinsky. Coupled and forced patterns in reaction-diffusion systems // Phil. Trans. R. Soc. A. — 2008. — V. 366. — P. 397–408. — DOI: 10.1098/rsta.2007.2097. — MathSciNet: MR2377654. — ads: 2008RSPTA.366..397E.
  7. S. Jakubith, H. H. Rotermund, W. Engel, A. von Oertzen, G. Ertl. Spatiotemporal Concentration Patterns in a Surface Reaction: Propagating and Standing Waves, Rotating Spirals, and Turbulence // Phys. Rev. Lett. — 1990. — V. 65. — P. 3013. — DOI: 10.1103/PhysRevLett.65.3013. — ads: 1990PhRvL..65.3013J.
  8. A. Kaminaga, V. Vanag, I. Epstein. Wavelength Halving in a Transition between StandingWaves and Traveling Waves // Phys. Rev. Lett. — 2005. — V. 95. — 058302. — DOI: 10.1103/PhysRevLett.95.058302. — ads: 2005PhRvL..95e8302K.
  9. Y. Kuramoto. Chemical Oscillations, Waves, and Turbulence. — Berlin: Springer-Verlag, 1984. — 156 p. — MathSciNet: MR0762432.
  10. B. Marts, A. L. Lin. Transition from traveling to standing waves in the 4:1 resonant Belousov-Zhabotinsky reaction // Phys. Rev. Lett. E. — 2008. — V. 77. — 026211. — DOI: 10.1103/PhysRevE.77.026211. — ads: 2008PhRvE..77B6211M.
  11. G. Nicolis. Introduction to nonlinear science. — Cambridge University Press, 1995. — 254 p. — MathSciNet: MR1338835.
  12. I. Rehberg, S. Rasenat, J. Fineberg, M. de la Torre Juarez, V. Steinberg. Temporal Modulation of Traveling Waves // Phys. Rev. Lett. — 1988. — V. 61. — P. 2449–2452. — DOI: 10.1103/PhysRevLett.61.2449. — ads: 1988PhRvL..61.2449R.
  13. A. M. Zhabotinsky, M. Dolnik, I. R. Epstein, A. B. Rovinsky. Spatio-temporal patterns in a reactiondiffusion system with wave instability // J. Chem. Science. — 2000. — V. 55. — P. 223–231.

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"

Copyright © 2009–2024 Institute of Computer Science