A. Gołębiewska, S. Rybicki, Generalization of Lyapunov Center Theorem for Hamiltonian systems via normal forms theory, Journal of Differential Equations, 2025, vol. 421, pp. 241–263. Go to the document by digital ID DOI:10.1016/j.jde.2024.11.058
Ł. Rzepnicki, Integral representation of solutions to Dirac systems, Opuscula Mathematica, 2025, vol. 45, no. 3, pp. 403–416. Go to the document by digital ID DOI:10.7494/opmath.2025.45.3.403
2024
P. S. Hachaj, P. Gierszewski, W. Juśkiewicz, D. Strzelecki, et al The ADDRESS of a grain: sediment particle tracking as an approach to assessing ecosystem quality in dammed reservoirs, Science of the Total Environment, 2024, vol. 957, pp. 1–23, Article number: 177511. Go to the document by digital ID DOI:10.1016/j.scitotenv.2024.177511
2023
R. Skiba, N. Waterstraat, Fredholm theory of discrete dynamical systems and its applications to bifurcation theory, Discrete and Continuous Dynamical Systems A, 43 (5), 2023, 1878-1904.
R. Skiba, N. Waterstraat, The Index Bundle for Self-adjoint Fredholm Operators and Multiparameter Bifurcation for Hamiltonian Systems (accepted 2023), Zeitschrift für Analysis und ihre Anwendungen.
A. Gołębiewska, J. Kluczenko, P. Stefaniak, Bifurcations from degenerate orbits of solutions of nonlinear elliptic systems, Journal of Fixed Point Theory and Applications, Birkhäuser Verlag, 25 (1), 2023, 1-22.
I. Iglewska-Nowak, P. Stefaniak, Wavelet Based Solutions to the Poisson and the Helmholtz Equations on the n-Dimensional Unit Sphere, Journal of Fourier Analysis and Applications, 29 (28), 2023.
2022
A. Gołębiewska, E. Pérez-Chavela, S. Rybicki, A. Ureña, Bifurcation of closed orbits from equilibria of Newtonian systems with Coriolis forces, Journal of Differential Equations, 338, 2022, 441-473.
A. Gołębiewska, M. Kowalczyk, S. Rybicki, P. Stefaniak, Periodic solutions to symmetric Newtonian systems in neighbourhoods of orbits of equilibria, Electronic Research Archive, 30 (5), 2022, 1691-1707.
2021
D. Strzelecki, Bifurcations of quasi-periodic solutions from relative equilibria in the Lennard–Jones 2-body problem, Celestial Mechanics & Dynamical Astronomy, 133 (44), 2021.
A. Gołębiewska, S. Rybicki, P. Stefaniak, Connected sets of solutions of symmetric elliptic systems, Nonlinear Analysis, 202, 2021, 1-14.
A. Gołębiewska, P. Stefaniak, Structure of sets of solutions of parametrised semi-linear elliptic systems on spheres, Nonlinear Analysis, 212, 2021, 1-20.
2020
D. Strzelecki, Periodic solutions of symmetric Hamiltonian systems, Archive for Rational Mechanics and Analysis, 237, 2020, 921-950.
M. Kowalczyk, E. Pérez-Chavela, S. Rybicki, Symmetric Lyapunov center theorem for orbit with non-trivial isotropy group, Advances in Differential Equations, 25 (1-2), 2020, 1-30.
A. Gołębiewska, P. Stefaniak, Global bifurcation from an orbit of solutions to a non-co-operative semi-linear Neumann problem, Journal of Differential Equations, 268 (11), 2020, 6702-6728.
C. Pötzsche, R. Skiba, A continuation principle for Fredholm maps I: theory and basics, Mathematische Nachrichten, 293 (5), 2020, 983-1003.
C. Pötzsche, R. Skiba, A continuation principle for Fredholm maps II: application to homoclinic solutions, Mathematische Nachrichten, 293 (6), 2020, 1174-1199.
2019
A. Gołębiewska, N. Hirano, S. Rybicki, Global symmetry-breaking bifurcations of critical orbits of invariant functionals, Discrete & Continuous Dynamical Systems S, 12 (7), 2019, 2005-2017.
2018
S. Rybicki, N. Shioji, P. Stefaniak, Rabinowitz alternative for non-co-operative elliptic systems on geodesic balls, Advanced Nonlinear Studies, 18 (4), 2018, 845-862.
E. Pérez-Chavela, S. Rybicki, D. Strzelecki, Symmetric Liapunov center theorem for minimal orbit, Journal of Differential Equations, 265 (3), 2018, 752-778.
A. Gołębiewska, J. Kluczenko, P. Stefaniak, Bifurcations from the orbit of solutions of the Neumann problem, Calculus of Variations and Partial Differential Equations, 57 (1), 2018, 1-23.
C. Pötzsche, R. Skiba, Global continuation of homoclinic solutions, Zeitschrift für Analysis und ihre Anwendungen, 37 (2), 2018, 159-187.
2017
Z. Błaszczyk, A. Gołębiewska, S. Rybicki, Conley index in Hilbert spaces versus the generalized topological degree, Advances in Differential Equations, 22 (11-12), 2017, 963-982.
E. Pérez-Chavela, S. Rybicki, D. Strzelecki, Symmetric Liapunov center theorem, Calculus of Variations and Partial Differential Equations, 56 (2), 2017, 1-23.
N. Hirano, S. Rybicki, Multiple existence of symmetry-breaking solutions to a nonlinear Schrödinger equation with a magnetic potential, Journal of Nonlinear and Convex Analysis, 18 (8), 2017, 1563-1569.
A. Gołębiewska, J. Kluczenko, Connected sets of solutions for a nonlinear Neumann problem, Differential and Integral Equations, 30 (11-12), 2017, 833-852.
A. Gołębiewska, Periodic solutions of asymptotically linear autonomous Hamiltonian systems with resonance, Journal of Dynamics and Differential Equations, 25 (3), 2017, 1-16.
R. Skiba, N. Waterstraat, The index bundle and multiparameter bifurcation for discrete dynamical systems, Discrete and Continuous Dynamical Systems A, 37 (11), 2017, 5603-5629.
2016
M. Kowalczyk, Topological bifurcations of spatial central configurations in the N-body problem, Celestial Mechanics & Dynamical Astronomy, 124 (2), 2016, 201-214.
