| Budget Amount *help |
¥15,600,000 (Direct Cost: ¥12,000,000、Indirect Cost: ¥3,600,000)
Fiscal Year 2018: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2017: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2016: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2015: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2014: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
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| Outline of Final Research Achievements |
A large-scale change in a system called “critical transition” is viewed as a global bifurcation in the dynamics, and is studied by employing recent progress in the theory of dynamical systems such as topological computation theory and Morse decompositions. The obtained results are as follows: (1) The topological computation theory for obtaining the global structure of dynamics in the form of Morse decompositions from time-series data generated from dynamical systems is adapted for noisy time-series data, called the MGSTD method, which is successfully applied to meteorological time-series data capturing an expected transition of pressure patterns. (2) Discovery and analysis of a hysteresis-like “bifurcation” in hybrid systems which models analogue of the walk-run transition in the human bipedal locomotion. (3) Development of the method for obtaining Morse decomposition of the spacio-temporal dynamics from spatial image data by using the methods in the topological data analysis.
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