Intertwined Basins of Attraction in Systems of O.D.E. |
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| Institution: | 1. Department of Mathematics, University of Science and Technology of China, Hefei, 230026 P.R. China;2. Center for Nonlinear Dynamics, Chongqing Institute of Post and Telecommunications, Chongqing, 400065 P.R. China;3. Department of Physics, University of Science and Technology of China, Hefei, 230026 P.R. China;1. Mathematical Institute, Silesian University, 746 01 Opava, Czech Republic;2. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile;1. Center of Mechanics and Structural Dynamics, Vienna University of Technology, Karlsplatz 13, A-1040 Wien, Austria;2. Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale e dei Materiali DICAM, Viale delle Scienze, I-90128 Palermo, Italy;1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, PR China;2. Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, Guangdong, PR China;3. School of Science, Hangzhou Dianzi University, Hangzhou 310018, PR China |
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| Abstract: | We investigate the basins of attraction in two dimensional ordinary differential equations (O.D.E.), and show that under certain conditions the basins of attraction are of fine and intertwined structure, which giving rise to an obstruction to predictability. |
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