Phase transition of oscillators and travelling waves in a class of relaxation systems (Q325777)
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scientific article; zbMATH DE number 6637118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Phase transition of oscillators and travelling waves in a class of relaxation systems |
scientific article; zbMATH DE number 6637118 |
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Phase transition of oscillators and travelling waves in a class of relaxation systems (English)
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11 October 2016
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oscillators
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travelling waves
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relaxation systems
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orbit analysis
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homoclinic bifurcation
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FitzHugh-Nagumo equation
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van der Pol equation
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winfree generic system
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The paper is mainly concerned with the system NEWLINE\[NEWLINE\begin{aligned} {du\over dt} &= -u(u-a)(u-b)- v,\\ {dv\over dt} &= \varepsilon(mu+ nv+ p),\end{aligned}\tag{\(*\)}NEWLINE\]NEWLINE where \(\varepsilon\) is a small positive parameter, \(a\neq b\). The author applies known results to study the bifurcation of a limit cycle from a homoclinic orbit of \((*)\).
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