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math.DS2026
Generalized Kolmogorov systems with applications to astrophysics and biology
Dorota Bors, Robert Stańczy
We consider generalized Kolmogorov system. We prove the existence of heteroclinic trajectory. We apply the results to astrophysical models for self-gravitating particles and predat…
math.DS2016
Dynamical system modeling fermionic limit
Dorota Bors, Robert Stańczy
The existence of multiple radial solutions to the elliptic equation modeling fermionic cloud of interacting particles is proved for the limiting Planck constant and intermediate va…