Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …

In this work a two component epidemic reaction–diffusion system posed on the whole space
RN is considered. Uniform boundedness of the solutions is proved using suitable local L p …

This paper is concerned with non-cooperative parabolic reaction–diffusion systems which
share structural similarities with the scalar Fisher–KPP equation. These similarities make it …

This paper is a study of an abstract model of a second-order non-linear elliptic boundary-
value problem in a cylindrical domain by the methods of the theory of dynamical systems. It …

The authors study semilinear parabolic systems on the full space ${\mathbb R}^ n $ that
admit a family of exponentially decaying pulse-like steady states obtained via translations …

In this paper we prove the existence of a compact global attractor for a reaction–diffusion
equation on [TeX:]\[$\mathbb {R}^{N} $. We do not assume that the nonlinear term is …

" Bifurcation and Chaos in Discontinuous and Continuous Systems" provides rigorous
mathematical functional-analytical tools for handling chaotic bifurcations along with precise …