Normal forms for retarded functional differential equations associated with zero-double-Hopf singularity with 1 1 resonance /
This manuscript introduces a framework that focuses on the singularity of a zero-double-Hopf system with 1 : 1 resonance in general retarded differential equations (RDDs). Initially, practical algorithms are proposed to identify the zero-double-Hopf singularity and the associated generalized eigensp...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet, Hopf-szingularitás |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.59 |
| Online Access: | http://acta.bibl.u-szeged.hu/88861 |
| Tartalmi kivonat: | This manuscript introduces a framework that focuses on the singularity of a zero-double-Hopf system with 1 : 1 resonance in general retarded differential equations (RDDs). Initially, practical algorithms are proposed to identify the zero-double-Hopf singularity and the associated generalized eigenspace that corresponds to zero and two pairs of purely imaginary eigenvalues. Subsequently, by utilizing center manifold reduction and normal form techniques, we derive a reduced form of parameterized retarded differential systems up to third-order terms. |
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| Terjedelem/Fizikai jellemzők: | 23 |
| ISSN: | 1417-3875 |