| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
The author analyzed bifurcation of periodic motion when we approximate the dry friction of the mechanical model to generate a stick-slip motion in the smooth function as an example of hybrid dynamical systems. The author applied periodic perturbation to the belt speed, tracked the cycle point, and created a 2-parameter bifurcation diagram of 1/1, 2/1, and, 3/1 entrainment region. As a result, it was found that stable periodic point, saddle, and, unstable periodic points coexist in entrainment region, and a nonlinear phenomena such as period-doubling bifurcations, chaos, and so on are observed at stable periodic point. In addition, it was found that adjacent n/1 entrainment regions were connected through two Neimark-Sacker bifurcation curves and the period-doubling bifurcation curve of saddle.
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