Zobrazeno 1 - 10
of 985
pro vyhledávání: '"37B20"'
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
We fully describe all horocycle orbit closures in $ \mathbb{Z} $-covers of compact hyperbolic surfaces. Our results rely on a careful analysis of the efficiency of all distance minimizing geodesic rays in the cover. As a corollary we obtain in this s
Externí odkaz:
http://arxiv.org/abs/2409.10004
Autor:
Glasscock, Daniel, Le, Anh N.
A subset of the positive integers is \emph{dynamically central syndetic} if it contains the set of times that a point returns to a neighborhood of itself under a minimal transformation of a compact metric space. These sets are part of the highly-infl
Externí odkaz:
http://arxiv.org/abs/2408.12785
Autor:
Colonius, Fritz
A continuous semiflow is introduced for linear control systems with delays in the states and controls and bounded control range. The state includes the control functions. It is proved that there exists a unique chain control set which corresponds to
Externí odkaz:
http://arxiv.org/abs/2408.10048
Autor:
Wiseman, Jim
We show that if an orientation-preserving homeomorphism of the plane has a topologically chain recurrent point, then it has a fixed point, generalizing the Brouwer plane translation theorem.
Externí odkaz:
http://arxiv.org/abs/2408.08183
Autor:
Colonius, Fritz, Santana, Alexandre J.
For control-affine systems on non-compact manifolds, the notion of strong chain control sets is introduced and related to the strong chain transitivity of the associated control flows. Affine control systems on R^n are embedded into bilinear control
Externí odkaz:
http://arxiv.org/abs/2407.18765
Autor:
Kalies, William, Vandervorst, Robert
For an arbitrary dynamical system there is a strong relationship between global dynamics and the order structure of an appropriately constructed Priestley space. This connection provides an order-theoretic framework for studying global dynamics. In t
Externí odkaz:
http://arxiv.org/abs/2407.14359
Autor:
Cardeccia, Rodrigo, Muro, Santiago
We study frequently recurrent unilateral and bilateral backward shift operators on Fr\'echet sequence spaces. We prove that if a backward shift admits a non-zero frequently recurrent vector, then it supports a dense set of such vectors, so that the o
Externí odkaz:
http://arxiv.org/abs/2407.11799
In this paper, we study the problem of Poisson stability of solutions for stochastic semi-linear evolution equation driven by fractional Brownian motion \mathrm{d} X(t)= \left( AX(t) + f(t, X(t)) \right) \mathrm{d}t + g\left(t, X(t)\right)\mathrm{d}B
Externí odkaz:
http://arxiv.org/abs/2407.04313
Building on tools that have been successfully used in the study of rational billiards, such as induced maps and interval exchange transformations, we provide a construction of a one-parameter family of isosceles triangles exhibiting non-periodic traj
Externí odkaz:
http://arxiv.org/abs/2406.17734