Zobrazeno 1 - 10
of 421
pro vyhledávání: '"37c20"'
We derive a necessary and sufficient condition for an $\Omega-$stable diffeomorphism to be a topologically transitive Anosov diffeomorphism: to exhibit a nonempty intersection of the stable and unstable manifolds of any pair of periodic orbits. To el
Externí odkaz:
http://arxiv.org/abs/2410.12958
Autor:
Balibrea, Francisco, Rucká, Lenka
In this paper we solve two open problems concerning distributional chaos in non-autonomous discrete dynamical systems stated in [4] and [17]. In the first problem it is wondered if the limit function of pointwise convergent non-autonomous system with
Externí odkaz:
http://arxiv.org/abs/2410.10288
Port-Hamiltonian (pH) systems provide a powerful tool for modeling physical systems. Their energy-based perspective allows for the coupling of various subsystems through energy exchange. Another important class of systems, passive systems, are charac
Externí odkaz:
http://arxiv.org/abs/2409.06256
This is the first part of a series of papers devoted to the study of linear cocycles over chaotic systems. In the present paper, we show that every $\mathrm{SL}(d,\mathbb{R})$ cocycle over a shift of finite type either admits a dominated splitting or
Externí odkaz:
http://arxiv.org/abs/2408.13921
Autor:
Ovtsynov, Illia, Prishlyak, Alexandr
We consider structure of typical gradient flows bifurcations on closed surfaces with minimal number of singular points. There are two type of such bifurcations: saddle-node (SN) and saddle connections (SC). The structure of a bifurcation is determina
Externí odkaz:
http://arxiv.org/abs/2408.10687
We classify connected 3-node restricted excitatory-inhibitory networks, extending our previous paper (`Classification of 2-node Excitatory-Inhibitory Networks', Mathematical Biosciences 373 (2024) 109205). We assume that there are two node-types and
Externí odkaz:
http://arxiv.org/abs/2406.17359
Autor:
Bernardes Jr, Nilson C.
We prove that every invertible generalized hyperbolic operator on a Banach space is time-dependent stable.
Externí odkaz:
http://arxiv.org/abs/2404.10410
We describe all possible topological structures of Morse flows and typical one-parametric gradient bifurcation on the M\"obius strip in the case that the number of singular point of flows is at most six. To describe structures, we use the separatrix
Externí odkaz:
http://arxiv.org/abs/2404.07233
We describe all possible topological structures of Morse flows and typical gradient saddle-nod bifurcation of flows on the 2-dimensional torus with a hole in the case that the number of singular point of flows is at most six. To describe structures,
Externí odkaz:
http://arxiv.org/abs/2404.02223
This paper proposes a new concept of pluripotency inspired by Colli-Vargas [Ergod. Theory Dyn. Syst., 21(6):1657-1681, 2001] and presents fundamental theorems for developing the theory. Pluripotency reprograms dynamics from a statistical or geometric
Externí odkaz:
http://arxiv.org/abs/2404.00337