Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Krawcewicz, Wieslaw"'
In this paper, we use the equivariant degree theory to establish a global bifurcation result for the existence of non-stationary branches of solutions to a nonlinear, two-parameter family of hyperbolic wave equations with local delay and non-trivial
Externí odkaz:
http://arxiv.org/abs/2411.05953
In this paper we study local and global symmetric Hopf bifurcation in abstract parabolic systems by means of the twisted equivariant degree.
Comment: 62 pages, 7 figures, submitted to J. Differential Equations (under review)
Comment: 62 pages, 7 figures, submitted to J. Differential Equations (under review)
Externí odkaz:
http://arxiv.org/abs/2311.13136
Publikováno v:
In Journal of Differential Equations 25 August 2024 401:282-307
We study the existence of subharmonic solutions in the system $\ddot {u}(t)=f(t,u(t))$, where $u(t)\in\mathbb{R}^{k}$ and $f$ is an even and $p$-periodic function in time. Under some additional symmetry conditions on the function $f$, the problem of
Externí odkaz:
http://arxiv.org/abs/2008.08132
The existence and spatio-temporal patterns of $2\pi$-periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer $O(2) \times \Gamma \times \mathbb Z_2$-equivariant degree theory
Externí odkaz:
http://arxiv.org/abs/2008.06590
Existence and spatio-temporal patterns of periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer $O(2) \times \Gamma \times \mathbb Z_2$-equivariant degree theory, where $O(
Externí odkaz:
http://arxiv.org/abs/2007.09166
Existence and spatio-temporal symmetric patterns of periodic solutions to second order reversible equivariant non-autonomous periodic systems with multiple delays are studied under the Hartman-Nagumo growth conditions. The method is based on using th
Externí odkaz:
http://arxiv.org/abs/2005.12558
The wave equation on network is defined by $\partial_{tt}u=\Delta_{G}u+g(u)$, where $u\in\mathbb{R}^{n}$ and the graph Laplacian $\Delta_{G}$ is an operator on functions on $n$ vertices. We suppose that $g:\mathbb{R}^{n}\rightarrow \mathbb{R}^{n}$ is
Externí odkaz:
http://arxiv.org/abs/1804.10803
In this paper we analyze nonlinear dynamics of the fullerene molecule. We prove the existence of global branches of periodic solutions emerging from an icosahedral equilibrium (nonlinear normal modes). We also determine the symmetric properties of th
Externí odkaz:
http://arxiv.org/abs/1804.05455
We study nonlinear vibrational modes of oscillations for tetrahedral configurations of particles. In the case of tetraphosphorus, the interaction of atoms is given by bond stretching and van der Waals forces. Using equivariant gradient degree, we pre
Externí odkaz:
http://arxiv.org/abs/1707.07653