loading...| Preferred Name |
structural stability |
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| Synonyms |
Andronov's structural stability |
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| Definitions |
A system x ̇=f(x), x ∈ Rn (1), defined in a region D ⊂ Rn is called structurally stable in a region D0 ⊂ D if for any sufficiently C1-close in D system x ̇=g(x), x ∈ Rn (2), there are regions U, V ⊂ D, D0 ⊂ U such that (1) is topologically equivalent in U to (2) in V. |
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| ID |
http://identifiers.org/teddy/TEDDY_0000167 |
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| altLabel |
Andronov's structural stability |
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| definition |
A system x ̇=f(x), x ∈ Rn (1), defined in a region D ⊂ Rn is called structurally stable in a region D0 ⊂ D if for any sufficiently C1-close in D system x ̇=g(x), x ∈ Rn (2), there are regions U, V ⊂ D, D0 ⊂ U such that (1) is topologically equivalent in U to (2) in V. |
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| label |
structural stability |
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| prefixIRI |
TEDDY_0000167 |
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| prefLabel |
structural stability |
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| seeAlso | ||
| disjointWith |
http://identifiers.org/teddy/TEDDY_obsolete http://identifiers.org/teddy/TEDDY_0000179 |
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| subClassOf |