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Weakly coupled oscillators and topological degree |
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| Authors: | Michal Fe?kan Ruyun Ma Bevan Thompson |
| Affiliation: | a Department of Mathematical Analysis and Numerical Mathematics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia b Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia c Department of Mathematics, Northwest Normal University, Lanzhou 730070, PR China d Department of Mathematics, The University of Queensland, Brisbane, Qld 4072a, Australia |
| Abstract: | By using the topological degree of Brouwer for mappings along with averaging method, we study the existence of forced periodic solutions for certain weakly coupled periodically perturbed ordinary differential equations. |
| Keywords: | 34C25 34C29 47H11 |
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