SUSHANTA DATTAGUPTA
Articles written in Indian Academy of Sciences Conference Series
Volume 2 All articles Published: 16 September 2019 Article ID 0007 Special
Pattern formation in nonlinear reaction–diffusion systems
SUSHANTA DATTAGUPTA MANAS KUMAR ROY
Reaction–diffusion equations are ubiquitous in population dynamics, laser physics, bacterial growth, domain wall kinetics, order parameter relaxation and a host of other problems, cutting across disciplines. The occurrence of nonlinearity adds further complexity in terms of bifurcation-solutions, phase transitions, fractalgrowth, etc. In most cases the non-transient, asymptotic solutions of these equations lead to patterns, the nature of which depends on certain symmetry properties of the underlying variable(s). In this paper we discuss a few suchequations with applications to domain motion of different kinds in ferroelectrics, multiferroics and their switching characteristics because of the underlying nonlinearities, and glucose-induced fractal colony growth of Bacillus thuringiensis.
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