Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Rădulescu, Anca"'
Susceptible-Infected-Recovered (SIR) models have been used for decades to understand epidemic outbreak dynamics. We develop an SIR model specifically designed to study the effects of population behavior with respect to health and vaccination protocol
Externí odkaz:
http://arxiv.org/abs/2308.01038
Building upon our previous work on the Wilson-Cowan equations with distributed delays, we study the dynamic behavior in a system of two coupled Wilson-Cowan pairs. We focus in particular on understanding the mechanisms that govern the transitions in
Externí odkaz:
http://arxiv.org/abs/2307.06628
Autor:
Radulescu, Anca, Collier, Ashelee
In the context of complex quadratic networks (CQNs) introduced previously, we study escape radius and synchronization properties in two dimensional networks. This establishing the first step towards more general results in higher-dimensional networks
Externí odkaz:
http://arxiv.org/abs/2303.09329
One important question in neuroscience is how global behavior in a brain network emerges from the interplay between network connectivity and the neural dynamics of individual nodes. To better understand this theoretical relationship, we have been exp
Externí odkaz:
http://arxiv.org/abs/2209.05268
Autor:
Radulescu, Anca, Anderson, Michael
The Thalamic Reticular Nuclei (TRN) mediate processes like attentional modulation, sensory gating and sleep spindles. The GABAergic inter neurons in the TRN are know to exhibit widespread synchronized activity patterns. One known contribution to shap
Externí odkaz:
http://arxiv.org/abs/2209.00384
We study the dynamics of template iterations, consisting of arbitrary compositions of functions chosen from a finite set of polynomials. In particular, we focus on templates using complex unicritical maps in the family $\{ z^d + c, c \in \mathbb{C},
Externí odkaz:
http://arxiv.org/abs/2206.03605
Autor:
Radulescu, Anca, Evans, Danae, Augustin, Amani-Daisa, Cooper, Anthony, Nakuci, Johan, Muldoon, Sarah
In continuation of prior work, we investigate ties between a network's connectivity and ensemble dynamics. This relationship is notoriously difficult to approach mathematically in natural, complex networks. In our work, we aim to understand it in a c
Externí odkaz:
http://arxiv.org/abs/2205.02390
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena February 2024 179
Autor:
Radulescu, Anca, Longbotham, Abraham
We introduce mutations in replication systems in which the intact copying mechanism is performed by discrete iterations of a complex quadratic map in the family $f_c(z) = z^2+c$. More specifically, we consider a "correct" function $f_{c_1}$ acting on
Externí odkaz:
http://arxiv.org/abs/2011.14002
Autor:
Radulescu, Anca
We illustrate and study the evolution of reported infections over the month from March 1st to April 1st in the New York State as a whole, as well as in each individual county. We search for exponential trends, and try to understand whether there is a
Externí odkaz:
http://arxiv.org/abs/2004.02366