Zobrazeno 1 - 10
of 76
pro vyhledávání: '"JARRAH, ABDUL SALAM"'
This paper explores a relationship between invariants of certain group actions and the time-reversibility of two-dimensional polynomial differential systems exhibiting a $1:-1$ resonant singularity at the origin. We focus on the connection of time-re
Externí odkaz:
http://arxiv.org/abs/2309.01817
We prove that if G is a graph without 3-cycles and 4-cycles, then the discrete cubical homology of G is trivial in dimension d, for all d\ge 2. We also construct a sequence { G_d } of graphs such that this homology is non-trivial in dimension d for d
Externí odkaz:
http://arxiv.org/abs/1909.02901
Toward defining commutative cubes in all dimensions, Brown and Spencer introduced the notion of "connection" as a new kind of degeneracy. In this paper, for a cubical set with connections, we show that the connections generate an acyclic subcomplex o
Externí odkaz:
http://arxiv.org/abs/1812.07600
In this paper we study and compare two homology theories for (simple and undirected) graphs. The first, which was developed by Barcelo, Caprano, and White, is based on graph maps from hypercubes to the graph. The second theory was developed by Grigor
Externí odkaz:
http://arxiv.org/abs/1803.07497
Inferring dynamic biochemical networks is one of the main challenges in systems biology. Given experimental data, the objective is to identify the rules of interaction among the different entities of the network. However, the number of possible model
Externí odkaz:
http://arxiv.org/abs/1011.6064
Agent-based modeling and simulation is a useful method to study biological phenomena in a wide range of fields, from molecular biology to ecology. Since there is currently no agreed-upon standard way to specify such models it is not always easy to us
Externí odkaz:
http://arxiv.org/abs/1006.0408
The relationship between the properties of a dynamical system and the structure of its defining equations has long been studied in many contexts. Here we study this problem for the class of conjunctive (resp. disjunctive) Boolean networks, that is, B
Externí odkaz:
http://arxiv.org/abs/0805.0275
Feedback loops in a dynamic network play an important role in determining the dynamics of that network. Through a computational study, in this paper we show that networks with fewer independent negative feedback loops tend to exhibit more regular beh
Externí odkaz:
http://arxiv.org/abs/0707.3468
This paper focuses on the study of certain classes of Boolean functions that have appeared in several different contexts. Nested canalyzing functions have been studied recently in the context of Boolean network models of gene regulatory networks. In
Externí odkaz:
http://arxiv.org/abs/q-bio/0606013
Publikováno v:
Advances in Applied Mathematics 39 (2007), 477-489
Multivariate polynomial dynamical systems over finite fields have been studied in several contexts, including engineering and mathematical biology. An important problem is to construct models of such systems from a partial specification of dynamic pr
Externí odkaz:
http://arxiv.org/abs/q-bio/0605032