О динамике бегущих волн в системе уравнений Ван-дер-Поля с малой диффузией
The dynamics of traveling waves for a system of parabolic equations of the van-der-Pol type with small diffusion on a circle with radius r is studied. The existence, interaction, asymptotic form, and stability of these waves are analyzed. It is proved that the number of stable traveling waves increa...
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| Date: | 2007 |
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| Main Author: | |
| Format: | Article |
| Language: | Russian |
| Published: |
Видавничий дім "Академперіодика" НАН України
2007
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | О динамике бегущих волн в системе уравнений Ван-дер-Поля с малой диффузией /О.В. Шиян // Доп. НАН України. — 2007. — N 7. — С. 27–32.— Бібліогр.: 12 назв. — рос. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The dynamics of traveling waves for a system of parabolic equations of the van-der-Pol type with small diffusion on a circle with radius r is studied. The existence, interaction, asymptotic form, and stability of these waves are analyzed. It is proved that the number of stable traveling waves increases with the radius r, and it is shown that the interaction of the waves satisfies the 1 : 2 principle. |
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