Malko, Anton V.Krawcewicz, Wieslaw2022-11-302022-11-302022-052022-05-01May 2022https://hdl.handle.net/10735.1/9568In this dissertation, we study the existence and spatio-temporal symmetric patterns of peri- odic solutions to second order reversible equivariant non-autonomous periodic systems with multiple delays under the Hartman-Nagumo growth conditions. Our method is based on the usage of the Brouwer D1 × Z2 × Γ-equivariant degree theory, where D1 is related to the reversing symmetry, Z2 is related to the oddness of the right-hand-side and Γ reflects the symmetric character of the coupling in the corresponding network. Abstract results are supported by a concrete example with Γ = Dn – the dihedral group of order 2n.application/pdfenMathematicsThesis2022-11-30