180 citations · 1.3k across the 65 of their papers we have counts for
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Instabilities and disorder of the domain patterns in the systems with competing interactions
C. B. Muratov
The dynamics of the domains is studied in a two-dimensional model of the microphase separation of diblock copolymers in the vicinity of the transition. A criterion for the validity…
Synchronization, chaos, and breakdown of collective domain oscillations in reaction-diffusion systems
C. B. Muratov
The universal equations describing collective oscillations of the multidomain patterns of small period in an arbitrary -dimensional reaction-diffusion system of the activator-in…
Scenarios of domain pattern formation in a reaction-diffusion system
C. B. Muratov, V. V. Osipov
We performed an extensive numerical study of a two-dimensional reaction-diffusion system of the activator-inhibitor type in which domain patterns can form. We showed that both mult…
Self-replication and splitting of domain patterns in reaction-diffusion systems with fast inhibitor
C. B. Muratov
An asymptotic equation of motion for the pattern interface in the domain-forming reaction-diffusion systems is derived. The free boundary problem is reduced to the universal equati…
General theory of instabilities for patterns with sharp interfaces in reaction-diffusion systems
C. B. Muratov, V. V. Osipov
An asymptotic method for finding instabilities of arbitrary -dimensional large-amplitude patterns in a wide class of reaction-diffusion systems is presented. The complete stabil…