ANALYTICAL CALCULATION OF BIFURCATION POINTS IN STANDARD MAPPING |
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| Authors: | WANG Bing-hong WANG Guang-rui |
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| Affiliation: | 1. Center of Theoretical Physics, CCAST (World Laboratory), Beijing;2. Department of Modern physics, University of Science and Technblogy of China, Hefei, China;3. Institute of Applied Physics and Computational Mathematics, Beijing, China |
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| Abstract: | For standard mapping, we calculate analytically the values of non-integrable parameter K where the period 1 to 4 orbits variate their stability via tangent bifurcation, period doubling bifurcation and period equal bifurcation.Hence, the analytical stable windows of periodic orbits are given and a complete picture can be seen for the behaviour of bifurcation of periodic motion in standard mapping. |
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