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M. Umeki, Chaos in the Battisti-Hirst original model for El Nin˜o southern oscillation, to appear in Theoretical and Applied Mechanics Japan.
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M. Umeki, A Hamiltonian-Gradient System for Multiple Conservation Laws, Theoretical and Applied Mechanics Japan (2011) 59, 195-201.
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M. Umeki, A Locally Induced Homoclinic Motion of a Vortex Filament, Theor. Comput. Fluid Dyn. (2010) 24, 383-387.
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M. Umeki, A Complicated Double Periodicity in a Model of an Artificial Neural Network, Theoretical and Applied Mechanics Japan (2010) 58, 79-87.
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M. Umeki, Pattern Formation in Periodic Gradient Systems, Theoretical and Applied Mechanics Japan (2009) 57, 227-232.
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M. Umeki, Point Process Analysis of Vortices in a Periodic Box Theoretical and
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Applied Mechanics Japan (2008) 56, 259-265.
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M. Umeki, Clustering of Point Vortices in a Periodic Box Proc. Appl. Math. Mech. (2007) 7, 2100017-2100018.
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M. Umeki, Clustering Analysis of Periodic Point Vortices with the L Function, J.Phys. Soc. Jpn. (2007) 76, 043401.
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M. Umeki, Bifurcations and Chaos in a Six-dimensional Turbulence Model of Gledzer, J. Phys. Soc. Jpn. (2006) 75, 073401.
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C. Coste, F. Lund and M. Umeki, Scattering of Dislocated Wavefronts by Vertical Vorticity and the Aharonov-Bohm Effect I: Shallow Water, Phys. Rev. E. (1999) 60, 4908-4916.
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M. Umeki, Complexification of Wave Numbers in Solitons, Phys. Lett. A. (1997) 236, 69-72.
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M. Umeki and F. Lund, Spirals and Dislocations in Wave-Vortex Systems, Flu. Dyn. Res. (1997) 21, 201-210.
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M. Umeki, Pattern Selection in Faraday Surface Waves, J. Phys. Soc. Jpn. (1996) 65, 2072-2080.
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N. Tokugawa, M. Umeki and T. Kambe, Statistical Analysis of Particle Drifts on Faraday Waves, Flu. Dyn. Res. (1995) 16, 43-55.
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M. Umeki, Numerical Simulation of Plane Poiseuille Turbulence, Flu. Dyn. Res. (1994) 13, 67-79.
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M. Umeki, Probability Distribution of Velocity Circulation in Three-Dimensional Turbulence, J. Phys. Soc. Jpn. (1993) 62, 3788-3791.
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Y. Hattori, N. Ishimura, I. Ohnishi & M. Umeki, Dimension Estimate of the Global Attractor for Forced Oscillation Systems, Japan J. Indust. Appl. Math. (1993) 10, No. 3, 351-366.
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M. Umeki, Lagrangian Motion of Fluid Particles Induced by Three-Dimensional Standing Surface Waves, Phys. Fluids A. (1991) 4, 1968-1978.
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M. Umeki, Particle Transport by Angular Momentum on Three-Dimensional Standing Surface Waves, Phys. Rev. Lett. (1991) 67, 2650-2653.
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M. Umeki, Faraday Resonance in Rectangular Geometry, J. Fluid Mech. (1991) 227, 161-192.
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T. Kambe & M. Umeki, Nonlinear Dynamics of Two-mode Interactions in Parametric Excitation of Surface Waves, J. Fluid Mech. (1990) 212, 373-393.
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M. Umeki & T. Kambe, Nonlinear Dynamics and Chaos in Parametrically Excited Surface Waves, J. Phys. Soc. Jpn. (1989) 58, 140-154.
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M. Umeki & T. Kambe, Stream Patterns of an Isothermal Atmosphere over an Isolated Mountain, Flu. Dyn. Res. (1989) 5, 91-109.