Zobrazeno 1 - 10 of 119 pro vyhledávání: '"Kowalczyk, Marta"'
1
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Periodic solutions to symmetric Newtonian systems in neighborhoods of orbits of equilibria
Autor: Gołębiewska, Anna, Kowalczyk, Marta, Rybicki, Sławomir, Stefaniak, Piotr
The aim of this paper is to prove the existence of periodic solutions to symmetric Newtonian systems in any neighborhood of an isolated orbit of equilibria. Applying equivariant bifurcation techniques we obtain a generalization of the classical Lyapu
Externí odkaz: http://arxiv.org/abs/2109.11245
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2
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Symmetric Liapunov center theorem for orbit with nontrivial isotropy group
Autor: Kowalczyk, Marta, Pérez-Chavela, Ernesto, Rybicki, Sławomir
In this article we prove two versions of the Liapunov center theorem for symmetric potentials. We consider a~second order autonomous system $\ddot q(t)=-\nabla U(q(t))$ in the presence of symmetries of a compact Lie group $\Gamma$ acting linearly on
Externí odkaz: http://arxiv.org/abs/1810.09293
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6
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Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the N-body problem
Autor: Kowalczyk, Marta
Publikováno v: Nonlinear Analysis: Real World Applications 24 (2015) pp. 108-125
In this article we study topological bifurcations of critical orbits of equivariant gradient equations. We give necessary and sufficient conditions for the existence of global bifurcations of solutions of these equations. Moreover, we apply these abs
Externí odkaz: http://arxiv.org/abs/1501.07449
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