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Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays.
- Source :
-
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering . 2021, Vol. 31 Issue 12, p1-23. 23p. - Publication Year :
- 2021
-
Abstract
- Global bifurcation and spatio-temporal patterns of periodic solutions (with prescribed period) to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer/Leray–Schauder O (2) × Γ × ℤ 2 -equivariant degree theory. Here, O (2) is related to the reversal symmetry combined with the autonomous form of the system, Γ reflects extra spacial symmetries of the system, and ℤ 2 is related to the oddness of the right-hand side. Abstract results are supported by a concrete example with Γ = D 6 — the dihedral group of order 12. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TOPOLOGICAL degree
*BIFURCATION theory
*BIFURCATION diagrams
Subjects
Details
- Language :
- English
- ISSN :
- 02181274
- Volume :
- 31
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 152635591
- Full Text :
- https://doi.org/10.1142/S0218127421501807