168 citations · 279 across the 11 of their papers we have counts for
Showing 2013 · nlin.PSShow all
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nlin.PS2013★ 1 cited
Dispersal-induced destabilization of metapopulations and oscillatory Turing patterns in ecological networks
Shigefumi Hata, Hiroya Nakao, Alexander S. Mikhailov
As proposed by Alan Turing in 1952 as a ubiquitous mechanism for nonequilibrium pattern formation, diffusional effects may destabilize uniform distributions of reacting chemical sp…
nlin.PS2013★ 21 cited
Sufficient conditions for wave instability in three-component reaction-diffusion systems
Shigefumi Hata, Hiroya Nakao, Alexander S. Mikhailov
Sufficient conditions for the wave instability in general three-component reaction-diffusion systems are derived. These conditions are expressed in terms of the Jacobian matrix of…