| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Research Abstract |
We proposed a procedure `ultradiscretization with parityvariables’, which is an extended version of usual ultradiscretization method. By meansof this procedure, we obtained various results on integrable cellular automata, forexample, construction of an ultradiscrete analog of the q-Painleve II equation and a classof its special solutions. We studied oscillatory solutions of ultradiscrete systems,derivation of soliton solutions to the Box and Ball system based on an algebro-geometricmethod and so on by usual ultradiscretization method. We also investigated anultradiscrete analog of the optimal velocity model and Kalman filter for apiecewise-linear system, which are non-integrable systems.
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