| Budget Amount *help |
¥18,720,000 (Direct Cost: ¥14,400,000、Indirect Cost: ¥4,320,000)
Fiscal Year 2014: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2013: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2012: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2011: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
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| Outline of Final Research Achievements |
For the study of transient behaviors of dynamical systems on non-invariant set such as transient chaos, we develop a numerical method based on graph clustering algorithms. We also develop an algorithm to construct pseudo-Lyapunov functions, an analog of Lyapunov function, based on optimization algorithms. This enables us to study a generalization of Conley-Morse decomposition to dynamical systems having no Lyapunov function. These algorithms are successfully applied to dynamical systems including non-linear Leslie model and also to numerical simulations of 2-dimensional fluid flows.
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