22 citations · 49 across the 12 of their papers we have counts for
4 papers · 1 filter
Computer-assisted validation of the existence of periodic orbit in the Brusselator system
Jakub Banaśkiewicz, Piotr Kalita, Piotr Zgliczyński
We investigate the Brusselator system with diffusion and Dirichlet boundary conditions on one dimensional space interval. Our proof demonstrates that, for certain parameter values,…
Forwards attractors for non-autonomous Lotka-Volterra cooperative systems: a detailed geometrical description
Juan Garcia-Fuentes, José A. Langa, Piotr Kalita +1
Non-autonomous differential equations exhibit a highly intricate dynamics, and various concepts have been introduced to describe their qualitative behavior. In general, it is rare…
Autonomous and non-autonomous unbounded attractors in evolutionary problems
Jakub Banaśkiewicz, Alexandre N. Carvalho, Juan Garcia-Fuentes +1
If the semigroup is slowly non-dissipative, i.e., its solutions can diverge to infinity as time tends to infinity, one still can study its dynamics via the approach by the unbounde…
Structural stability of invasion graphs for Lotka--Volterra systems
Pablo Almaraz, Piotr Kalita, José A. Langa +1
In this paper, we study in detail the structure of the global attractor for the Lotka--Volterra system with a Volterra--Lyapunov stable structural matrix. We consider the invasion…