Abstract
By employing the normal form theory, the Hopf bifurcation and the transition boundary of an autonomous double pendulum with 1:1 internal resonance at the critical point is studied. The results are compared with numerical solutions. Further, by numerical methods, the road to chaos of a non-autonomous system is presented in the end.
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Foundation item: the National Natural Science Foundation of China(19990510)
Biography: Bi Qinsheng(1968∼)
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Qinsheng, B., Yushu, C. Bifurcation analysis of a double pendulum with internal resonance. Appl Math Mech 21, 255–264 (2000). https://doi.org/10.1007/BF02459003
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DOI: https://doi.org/10.1007/BF02459003