Waves induced by heterogeneity in oscillatory media
Various behaviours of nonlinear wave propagation and competition have been discussed and investigated extensively and meticulously, especially when the media are homogeneous. However, corresponding studies in heterogeneous media are much scarcer. In this paper, spontaneously generated waves from one...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aba022 |
| _version_ | 1797750456295882752 |
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| author | Chunli Huang Xiaoqing Huang Xiaoming Zhang Xiaohua Cui |
| author_facet | Chunli Huang Xiaoqing Huang Xiaoming Zhang Xiaohua Cui |
| author_sort | Chunli Huang |
| collection | DOAJ |
| description | Various behaviours of nonlinear wave propagation and competition have been discussed and investigated extensively and meticulously, especially when the media are homogeneous. However, corresponding studies in heterogeneous media are much scarcer. In this paper, spontaneously generated waves from one-dimensional heterogeneous oscillatory media, modelled by complex Ginzburg–Landau equations with spatially varied controlling parameters, are investigated. An unexpected homogeneous wave train clearly emerges under certain conditions. With the theory of interface-selected waves, we can theoretically predict the frequencies and wavenumbers under several conditions. This kind of wave train can be found in a wide region of parameter space. These phenomena are robust when parameters are varied nonlinearly or linearly with fluctuation. Moreover, this kind of homogeneous wave plays an important role in wave competition and affects wave propagation in spatially heterogeneous nonlinear systems, which will bring new applications of heterogeneity and provide new ideas for wave control. |
| first_indexed | 2024-03-12T16:32:59Z |
| format | Article |
| id | doaj.art-e88ac3b4269440479a40bbec380d8fd4 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:32:59Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-e88ac3b4269440479a40bbec380d8fd42023-08-08T15:25:42ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122808301910.1088/1367-2630/aba022Waves induced by heterogeneity in oscillatory mediaChunli Huang0Xiaoqing Huang1Xiaoming Zhang2Xiaohua Cui3School of Systems Science, Beijing Normal University , Beijing, 100875, People’s Republic of ChinaSchool of Biomedical Engineering, Capital Medical University , Beijing, 100069, People’s Republic of ChinaCollege of Physics and Optoelectronic Engineering, Shenzhen University , Shenzhen 518060, People’s Republic of ChinaSchool of Systems Science, Beijing Normal University , Beijing, 100875, People’s Republic of ChinaVarious behaviours of nonlinear wave propagation and competition have been discussed and investigated extensively and meticulously, especially when the media are homogeneous. However, corresponding studies in heterogeneous media are much scarcer. In this paper, spontaneously generated waves from one-dimensional heterogeneous oscillatory media, modelled by complex Ginzburg–Landau equations with spatially varied controlling parameters, are investigated. An unexpected homogeneous wave train clearly emerges under certain conditions. With the theory of interface-selected waves, we can theoretically predict the frequencies and wavenumbers under several conditions. This kind of wave train can be found in a wide region of parameter space. These phenomena are robust when parameters are varied nonlinearly or linearly with fluctuation. Moreover, this kind of homogeneous wave plays an important role in wave competition and affects wave propagation in spatially heterogeneous nonlinear systems, which will bring new applications of heterogeneity and provide new ideas for wave control.https://doi.org/10.1088/1367-2630/aba022nonlinear wavepatterncomplex Ginzburg–Landau equationheterogeneity |
| spellingShingle | Chunli Huang Xiaoqing Huang Xiaoming Zhang Xiaohua Cui Waves induced by heterogeneity in oscillatory media New Journal of Physics nonlinear wave pattern complex Ginzburg–Landau equation heterogeneity |
| title | Waves induced by heterogeneity in oscillatory media |
| title_full | Waves induced by heterogeneity in oscillatory media |
| title_fullStr | Waves induced by heterogeneity in oscillatory media |
| title_full_unstemmed | Waves induced by heterogeneity in oscillatory media |
| title_short | Waves induced by heterogeneity in oscillatory media |
| title_sort | waves induced by heterogeneity in oscillatory media |
| topic | nonlinear wave pattern complex Ginzburg–Landau equation heterogeneity |
| url | https://doi.org/10.1088/1367-2630/aba022 |
| work_keys_str_mv | AT chunlihuang wavesinducedbyheterogeneityinoscillatorymedia AT xiaoqinghuang wavesinducedbyheterogeneityinoscillatorymedia AT xiaomingzhang wavesinducedbyheterogeneityinoscillatorymedia AT xiaohuacui wavesinducedbyheterogeneityinoscillatorymedia |