Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays
2021 ◽
Vol 31
(12)
◽
pp. 2150180
Keyword(s):
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 [Formula: see text]-equivariant degree theory. Here, [Formula: see text] is related to the reversal symmetry combined with the autonomous form of the system, [Formula: see text] reflects extra spacial symmetries of the system, and [Formula: see text] is related to the oddness of the right-hand side. Abstract results are supported by a concrete example with [Formula: see text] — the dihedral group of order 12.
Keyword(s):
2009 ◽
Vol 14
(4)
◽
pp. 435-461
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Keyword(s):
1975 ◽
Vol 19
(1)
◽
pp. 62-69
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2006 ◽
Vol 319
(2)
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pp. 567-578
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