DIFFERENT TYPES OF INSTABILITIES AND COMPLEX DYNAMICS IN FRACTIONAL REACTION-DIFFUSION SYSTEMS

摘要

In this article we analyze a influence of possible instabilities on pattern formations in the reaction-diffusion systems with fractional derivatives. The results of qualitative analysis are confirmed by numerical simulations. The main attention is paid to two models: a fractional order reaction diffusion system with Bonhoeffer-van der Pol kinetics and to Brusselator model.