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math.DS2023
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,…
math.DS2023
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…