Energy-Preserving Reduced Operator Inference for Efficient Design and Control
Many-query computations, in which a computational model for an engineering system must be evaluated many times, are crucial in design and control. For systems governed by partial differential equations...
View ArticleOn Possible Indicators of Negative Selection in Germinal Centers
A central feature of vertebrate immune response is affinity maturation, wherein antibody-producing B cells undergo evolutionary selection in microanatomical structures called germinal centers, which...
View ArticleLearning Collective Behaviors from Observation
We present a comprehensive examination of learning methodologies employed for the structural identification of dynamical systems. These techniques are designed to elucidate emergent phenomena within...
View ArticleSmallest denominators
We establish higher dimensional versions of a recent theorem by Chen and Haynes [Int. J. Number Theory 19 (2023), 1405-1413] on the expected value of the smallest denominator of rational points in a...
View ArticleIn distributive phosphorylation catalytic constants enable non-trivial dynamics
Ordered distributive double phosphorylation is a recurrent motif in intracellular signaling and control. It is either sequential (where the site phosphorylated last is dephosphorylated first) or cyclic...
View ArticleScattering rigidity for analytic metrics
For analytic negatively curved Riemannian manifold with analytic strictly convex boundary, we show that the scattering map for the geodesic flow determines the manifold up to isometry. In particular...
View ArticleAn approximation of the Collatz map and a lower bound for the average total...
Define the (accelerated) Collatz map on the positive integers by $\mathsf{Col}_2(n)=\frac{n}{2}$ if $n$ is even and $\mathsf{Col}_2(n)=\frac{3n+1}{2}$ if $n$ is odd. We show that $\mathsf{Col}_2$ can...
View Article$\mathcal{Z}$-stability of crossed products by topological full groups
We introduce the property of having good subgroups for actions of countable discrete groups on compact metrizable spaces. We show that it implies comparison for actions of amenable groups and amenable...
View ArticleForwards attractors for non-autonomous Lotka-Volterra cooperative systems: a...
Non-autonomous differential equations exhibit a highly intricate dynamics, and various concepts have been introduced to describe their qualitative behavior. In general, it is rare to obtain time...
View ArticleExponential dichotomy for dynamically defined matrix-valued Jacobi operators
We present in this work a proof of the exponential dichotomy for dynamically defined matrix-valued Jacobi operators in $(\mathbb{C}^{l})^{\mathbb{Z}}$, given for each $\omega \in \Omega$ by the law...
View ArticleConsensus-driven Deviated Pursuit for Guaranteed Simultaneous Interception of...
This work proposes a cooperative strategy that employs deviated pursuit guidance to simultaneously intercept a moving (but not manoeuvring) target. As opposed to many existing cooperative guidance...
View ArticleThe impact of high frequency-based stability on the onset of action...
This paper studies the phenomenon of conduction block in model neurons using high-frequency biphasic stimulation (HFBS). The focus is investigating the triggering of undesired onset action potentials...
View ArticleConnectedness of level sets for non-degenerate integrable systems that extend...
In this paper we study the connectedness of the level sets of integrable systems that have only non-degenerate singular points and extend complexity one $T$-spaces with proper moment maps. Our main...
View ArticleLimit theorems for a strongly irreducible product of independent random...
Let $ \nu $ be a probability distribution over the linear semi-group $ \mathrm{End}(E) $ for $ E $ a finite dimensional vector space over a locally compact field. We assume that $ \nu $ is proximal,...
View ArticleMetamodeling and Control of Medical Digital Twins
The vision of personalized medicine is to identify interventions that maintain or restore a person's health based on their individual biology. Medical digital twins, computational models that integrate...
View ArticleOptimum dimensional synthesis of planar mechanisms with geometric constraints
The deformed energy method has shown to be a good option for dimensional synthesis of mechanisms. In this paper the introduction of some new features to such approach is proposed. First, constraints...
View ArticleThe bifurcation structure within robust chaos for two-dimensional...
We study two-dimensional, two-piece, piecewise-linear maps having two saddle fixed points. Such maps reduce to a four-parameter family and are well known to have a chaotic attractor throughout open...
View ArticleContinuity of the natural dimension of piecewise linear iterated function...
We consider iterated function systems on the real line that consist of continuous, piecewise linear functions. We show that typically the natural dimension of these systems changes continuously with...
View ArticleUsing nodal coordinates as variables for the dimensional synthesis of mechanisms
The method of the lower deformation energy has been successfully used for the synthesis of mechanisms for quite a while. It has shown to be a versatile, yet powerful method for assisting in the design...
View ArticleInternal Maps With Dense Periodicity
We consider the class of interval maps with dense set of periodic points CP and its closure CP equipped with the metric of uniform convergence. Besides studying basic topological properties and density...
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