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physics.data-an2020
Evaluating the phase dynamics of coupled oscillators via time-variant topological features
Kazuha Itabashi, Quoc Hoan Tran, Yoshihiko Hasegawa
By characterizing the phase dynamics in coupled oscillators, we gain insights into the fundamental phenomena of complex systems. The collective dynamics in oscillatory systems are…
physics.data-an2018
Topological time-series analysis with delay-variant embedding
Quoc Hoan Tran, Yoshihiko Hasegawa
Identifying the qualitative changes in time-series data provides insights into the dynamics associated with such data. Such qualitative changes can be detected through topological…