| Abstract: |
| The existence of periodic solutions in $\Gamma$-symmetric reversible second order systems of type $\ddot x = F(x)$ can be effectively studied by means of the $\Gamma \times O(2)$-equivariant degree with values in the Bernside ring A((\Gamma \times O(2))$. In this talk we will illustrate the techniques and methods based on the equivariant degree to study the existence of periodic solutions, topological classification of their spatio-temporal symmetries, and the related bifurcation problems including global continuation. We will present several examples of possible applications in various applied areas. |
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