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

Borina M.Y.; Polezhaev A.A.

Issue 4, 2012 Vol. 4

All issues

2024 Vol. 16
- Issue 1 (special issue)
2023 Vol. 15
- Issue 6
- Issue 5
- Issue 4 (special issue)
- Issue 3
- Issue 2 (special issue)
- Issue 1
2022 Vol. 14
- Issue 6
- Issue 5
- Issue 4 (special issue)
- Issue 3
- Issue 2 (special issue)
- Issue 1
2021 Vol. 13
- Issue 6
- Issue 5
- Issue 4
- Issue 3
- Issue 2 (special issue)
- Issue 1
2020 Vol. 12
- Issue 6
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2019 Vol. 11
- Issue 6
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2018 Vol. 10
- Issue 6
- Issue 5 (special issue)
- Issue 4
- Issue 3 (special issue)
- Issue 2
- Issue 1
2017 Vol. 9
- Issue 6
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2016 Vol. 8
- Issue 6
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2015 Vol. 7
- Issue 6
- Issue 5
- Issue 4
- Issue 3 (special issue)
- Issue 2
- Issue 1
2014 Vol. 6
- Issue 6 (special issue)
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2013 Vol. 5
- Issue 6 (special issue)
- Issue 5
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2012 Vol. 4
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2011 Vol. 3
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2010 Vol. 2
- Issue 4
- Issue 3
- Issue 2
- Issue 1
2009 Vol. 1
- Issue 4
- Issue 3
- Issue 2
- Issue 1

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) / List of references

We suggest a possible mechanism for the transition from standing waves with a wavelength λ_SW to traveling waves with a half wavelength: λ_TW ≅λ_SW / 2. This phenomenon was observed in the Belousov–Zhabotinsky reaction dispersed in a water-in-oil aerosol OT/Span-20 microemulsion. The problem is solved in a spatially one-dimensional case using amplitude equations approach. We demonstrate that a transition is possible under certain conditions. We obtain conditions for the mode coupling strength parameters, under which the scenario of transition from a standing wave to a half-period traveling wave, observed experimentally, is realized. The result of theoretical analysis is confirmed by numerical simulations.

Keywords: bifurcation, standing waves, traveling waves, amplitude equations

Citation in English: Borina M.Y., Polezhaev A.A. About the mechanism of switching between standing and traveling waves is accompanied by a halving of the wavelength // Computer Research and Modeling, 2012, vol. 4, no. 4, pp. 673-679

DOI: 10.20537/2076-7633-2012-4-4-673-679

URL: http://crm-en.ics.org.ru/journal/article/1948/

Computer Research and Modeling - 2012 - Issue 4

This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

Views (last year): 2. Citations: 1 (RSCI).

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"