Periodic solution and global structure of Oregonator (Q1579830)
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scientific article; zbMATH DE number 1507117
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solution and global structure of Oregonator |
scientific article; zbMATH DE number 1507117 |
Statements
Periodic solution and global structure of Oregonator (English)
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26 February 2001
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Consider the two-differential system \[ \varepsilon dx/dt =x(1-x)-fz(x-\mu)/(x+\mu), \quad dz/dt = x-z, \tag \(*\) \] as an approximation to the Oregonator. The authors derive conditions for the nonexistence of periodic solutions, for the existence of heteroclinic orbits and study the global behavior of \((*)\).
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nonexistence of periodic solutions
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heteroclinic orbits
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global behavior
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