4 citations · 7 across the 9 of their papers we have counts for
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Qualitatively distinct mechanisms of noise-induced escape in diffusively coupled bistable elements
Hidemasa Ishii, Hiroshi Kori
The analysis of noise-induced escape in populations of bistable elements is challenging, because nonlinearity, coupling, and noise all play essential roles. We show that the interp…
Periodic forces combined with feedback induce quenching in a bistable oscillator
Yusuke Kato, Hiroshi Kori
The coexistence of an abnormal rhythm and a normal steady state is often observed in nature (e.g., epilepsy). Such a system is modeled as a bistable oscillator that possesses both…
Bifurcation analysis of a two-neuron central pattern generator model for both oscillatory and convergent neuronal activities
Kotaro Muramatsu, Hiroshi Kori
The neural oscillator model proposed by Matsuoka is a piecewise affine system, which exhibits distinctive periodic solutions. Although such typical oscillation patterns have been w…
Diffusive coupling facilitates and impedes noise-induced escape in interacting bistable elements
Hidemasa Ishii, Hiroshi Kori
Diverse complex systems often undergo sudden changes in their states, such as epileptic seizures, climate changes, and social uprisings. Such behavior has been modeled by noise-ind…
Synchronization and oscillation quenching in interacting metronomes on a movable platform: simple model and bifurcation analysis
Yusuke Kato, Hiroshi Kori
Various oscillatory phenomena occur in the world. Because some oscillations are related to abnormal states (e.g., particular diseases), establishing state-transition methods from a…