On resonant non linearly coupled oscillators with two equal frequencies |
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| Authors: | Martin Kummer |
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| Affiliation: | 1. Department of Mathematics, The University of Toledo, 43606, Toledo, Ohio, USA
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| Abstract: | This paper contains a detailed study of the flow that the classical Hamiltonian| H = tfrac12(x*20c 2 1 + y*20c 2 1 ) + tfrac12(x*20c 2 2 + y*20c 2 2 ) + O3 H = tfrac{1}{2}(xbegin{array}{*{20}c} 2 1 end{array} + ybegin{array}{*{20}c} 2 1 end{array} ) + tfrac{1}{2}(xbegin{array}{*{20}c} 2 2 end{array} + ybegin{array}{*{20}c} 2 2 end{array} ) + mathcal{O}_3 |
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