Analytic and algebraic conditions for bifurcations of homoclinic orbits in reversible systems (Q2792103)
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scientific article; zbMATH DE number 6556943
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic and algebraic conditions for bifurcations of homoclinic orbits in reversible systems |
scientific article; zbMATH DE number 6556943 |
Statements
16 March 2016
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2 June 2023
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homoclinic orbits
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bifurcation
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differential Galois theory
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Melnikov method
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homoclinic orbit
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reversible system
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math.DS
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0.8239951
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0.82315993
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0.8155231
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0.80389005
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0.80023164
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0.7960838
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0.7884513
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0.78722703
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0.7837987
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Analytic and algebraic conditions for bifurcations of homoclinic orbits in reversible systems (English)
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The author extends the considerations of \textit{D. Blázquez-Sanz} and the author [J. Differ. Equations 253, No. 11, 2916--2950 (2012; Zbl 1260.34081)], to the context of reversible systems. In the same style as there three theorems are presented stating conditions for the occurrence of saddle-node or pitchfork bifurcations of homoclinic orbits.NEWLINENEWLINEIt is announced that details and proofs will be published in an upcoming paper.NEWLINENEWLINEFor the entire collection see [Zbl 1321.35002].
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