| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
The gas column in a wall with temperature gradient begins to oscillate spontaneously. This phenomenon is called thermoacoustic oscillation. This phenomenon can be considered as one of the bifurcation phenomena because the limit cycle appears when the temperature gradient (bifurcation parameter) goes beyond the critical value. The equation governing the bifurcation can be essentially written in the differential equation. In this study, the evolution equation was determined by measuring the energy of oscillation.
The unstable points were found in the evolution equation of thermoacoustic system which has the hysteresis phenomena. Therefore, the system in this study is the subcritical Hopf bifurcation.
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