Periodic Solutions and Approximate Symmetries |
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Authors: | Ünal G. |
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Affiliation: | (1) Faculty of Sciences, Istanbul Technical University, Maslak, 80626 Istanbul, Turkey |
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Abstract: | Assuming that a dynamical system (DS) has a periodic solutionwith period T in the neighborhood of an equilibrium, a newDS can be obtained which governs approximately the motion oftrajectories in the neighborhood of the periodic orbit. Approximatesymmetries and first integrals have been discussed for this DS. Theresults have been demonstrated on the Helmholtz oscillator. |
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Keywords: | dynamical systems approximate symmetries Noether's theorem |
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