Comment on “Reconnection scenarios…” Chaos Solitons and Fractals 2002;14(1):117–127 |
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| Institution: | 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi''an, Shaanxi 710072, PR China;2. School of Astronautics, Northwestern Polytechnical University, Xi''an, Shaanxi 710072, PR China;1. Department of Economics, Society, Politics, University of Urbino, via A. Saffi 42, Urbino 61029, Italy;2. Institute of Mathematics, NASU, 3 Tereshchenkivska st., Kyiv 01601, Ukraine;3. Kyiv School of Economics, 92–94 Dmytrievska st., Kyiv 01135, Ukraine |
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| Abstract: | We point out that Proposition 3.1 in E. Petrisor. Reconnection scenarios and the threshold of reconnection in the dynamics of non-twist maps. Chaos Solitons Fractals 2002;14(1):117–27] is, strictly speaking, false. On the other hand, we suggest that for near integrable mappings, the results of E. Petrisor. Reconnection scenarios and the threshold of reconnection in the dynamics of non-twist maps. Chaos Solitons Fractals 2002;14(1):117–27] are qualitatively correct and quantitatively very approximate. |
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