Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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Outline of Final Research Achievements |
We consider reaction-diffusion systems having a global attractor which collapses and turns to be a single stationary state by a perturbation. Although the dynamical structure largely changed by the perturbation, there is a perturbed orbit close to the unperturbed one during a transient time. In a specific reaction-diffusion system with conservation law we show for the perturbed system that a Turing-like wave takes place and it changes to a single spike, then the pattern finally collapses. The perturbed system has no longer steady state solutions which induce a Turing type instability. Nonetheless in the transient dynamics such a Turing-like pattern can be shown.
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