Zobrazeno 1 - 10
of 230
pro vyhledávání: '"37E99"'
Under mass-action kinetics, complex-balanced systems emerge from biochemical reaction networks and exhibit stable and predictable dynamics. For a reaction network $G$, the associated dynamical system is called $\textit{disguised toric}$ if it can yie
Externí odkaz:
http://arxiv.org/abs/2412.02620
Autor:
Rettberg, Johannes, Kneifl, Jonas, Herb, Julius, Buchfink, Patrick, Fehr, Jörg, Haasdonk, Bernard
Conventional physics-based modeling techniques involve high effort, e.g., time and expert knowledge, while data-driven methods often lack interpretability, structure, and sometimes reliability. To mitigate this, we present a data-driven system identi
Externí odkaz:
http://arxiv.org/abs/2408.08185
Autor:
Thiel, Marco
Intractable phase dynamics often challenge our understanding of complex oscillatory systems, hindering the exploration of synchronisation, chaos, and emergent phenomena across diverse fields. We introduce a novel conceptual framework for phase analys
Externí odkaz:
http://arxiv.org/abs/2407.00235
Autor:
Hoseana, Jonathan
We study the dynamics of the one-dimensional quasi-affine map $x\mapsto \left\lfloor \lambda x +\mu \right\rfloor$, providing a complete description of the map's periodic points, and of the limit points of every $x\in\mathbb{R}$ under the map, for al
Externí odkaz:
http://arxiv.org/abs/2406.14055
Autor:
Sánchez-Gabites, J. J.
Consider a flow in $\mathbb{R}^3$ and let $K$ be the biggest invariant subset of some compact region of interest $N \subseteq \mathbb{R}^3$. The set $K$ is often not computable, but the way the flow crosses the boundary of $N$ can provide indirect in
Externí odkaz:
http://arxiv.org/abs/2405.20945
Inspired by recent work on refraction billiards in dynamics, we introduce a notion of refraction for combinatorial billiards. This allows us to define a generalization of toric promotion that we call toric promotion with reflections and refractions,
Externí odkaz:
http://arxiv.org/abs/2404.03649
Autor:
Sánchez-Gabites, J. J.
Consider a continuous flow in $\mathbb{R}^3$ or any orientable $3$-manifold. Let $(Q_1, Q_0)$ be an index pair in the sense of Conley and consider the region $N := \overline{Q_1 - Q_0}$. (An example of this is a compact $3$-manifold $N$ such that tra
Externí odkaz:
http://arxiv.org/abs/2403.18805
A toroidal set is a compactum $K \subseteq \mathbb{R}^3$ which has a neighbourhood basis of solid tori. We study the topological entropy of toroidal attractors $K$, bounding it from below in terms of purely topological properties of $K$. In particula
Externí odkaz:
http://arxiv.org/abs/2403.18780
Autor:
Im, Mee Seong, Khovanov, Mikhail
This is the first in a series of papers where scissor congruence and K-theoretical invariants are related to cobordism groups of foams in various dimensions. A model example is provided where the cobordism group of weighted one-foams is identified, v
Externí odkaz:
http://arxiv.org/abs/2403.06030
Autor:
Mercat, Paul
We introduce the notion of matrices graph, defining continued fraction algorithms where the past and the future are almost independent. We provide an algorithm to convert more general algorithms into matrices graphs. We present an algorithm that comp
Externí odkaz:
http://arxiv.org/abs/2311.10046