Research

Research interests

Some pictures from my past studies. See papers for details.

Phase reduction theory of various nonlinear oscillatory systems

• Phase reduction of noisy oscillators

• Stochastic phase reduction of chaotic oscillators

• Phase reduction of time-periodic solutions in reaction-diffusion media

• Phase reduction of time-delayed oscillators

[ Isochron and phase response of the FitzHugh-Nagumo model. ]

Self-organization in network-organized dynamical systems

• Turing patterns in network-organized activator-inhibitor systems

• Synchronization and chaos on complex networks

[ Turing patterns on complex networks. Nature Physics 6, 544 (2010) ]

Synchronization and coherence of nonlinear oscillators induced by common noisy drive

• Synchronization and desynchronization of nonlinear oscillators by common impulses

• Coherence in populations of nonlinear oscillators by common noise

• Optimal phase response curve for noise-induced synchronization

[ Experimental realization of common-noise-induced synchrony. Phys. Rev. E 77, 036218 (2008) ]

Collective dynamics of coupled dynamical systems

• Collective phase response of macroscopic rhythms exhibited by coupled oscillator populations

• Spontaneous phasing and dephasing in populations of coupled oscillators

• Nonlinear waves and spatio-temporal chaos in self-oscillatory media

[ Collective phase response of a group of oscillators. Phys. Rev. Lett. 101, 024101 (2008) ]

Etc

• Statistical analysis of spatio-temporal chaos

• Stochastic processes with non-Gaussian intermittent properties

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