# Applied Mathematics Commons™

## All Articles in Applied Mathematics

4,479 full-text articles. Page 1 of 142.

Stability Analysis Of A More General Class Of Systems With Delay-Dependent Coefficients, 2019 Laboratoire des Signaux et Syst`emes (L2S) CentraleSup´elec-CNRS-Universit´e Paris Sud, 3 rue Joliot- Curie 91192 Gif-sur-Yvette cedex, France.

#### Stability Analysis Of A More General Class Of Systems With Delay-Dependent Coefficients, Chi Jin, Keqin Gu, Islam Boussaada, Silviu-Iulian Niculescu

##### SIUE Faculty Research, Scholarship, and Creative Activity

This paper presents a systematic method to analyse the stability of systems with single delay in which the coefficient polynomials of the characteristic equation depend on the delay. Such systems often arise in, for example, life science and engineering systems. A method to analyze such systems was presented by Beretta and Kuang in a 2002 paper, but with some very restrictive assumptions. This work extends their results to the general case with the exception of some degenerate cases. It is found that a much richer behavior is possible when the restrictive assumptions are removed. The interval of interest for the ...

2018 Michigan State University

#### Calculus Of The Impossible: Review Of The Improbability Principle (2014) By David Hand And The Logic Of Miracles (2018) By Lásló Mérő, Samuel L. Tunstall

##### Numeracy

David J. Hand. 2014. The Improbability Principle: Why Coincidences, Miracles, and Rare Events Happen Every Day (New York, NY: Scientific American/Farrar, Straus and Giroux) 288 pp. ISBN: 978-0374175344.

Lásló Mérő. 2018. The Logic of Miracles: Making Sense of Rare, Really Rare, and Impossibly Rare Events (New Haven, CT: Yale University Press) 288 pp. ISBN: 978-0300224153.

David Hand and Lásló Mérő both grapple with the occurrence of seemingly impossible events in these two popular science books. In this comparative review, I describe the two books, and explain why I prefer Hand's treatment of the impossible.

Curve Tracking Control Under State Constraints And Uncertainties, 2018 Louisiana State University

#### Curve Tracking Control Under State Constraints And Uncertainties, Robert Kelly Sizemore

##### LSU Doctoral Dissertations

We study a class of steering control problems for free-moving particles tracking a curve in the plane and also in a three-dimensional environment, which are central problems in robotics. In the two-dimensional case, we provide adaptive controllers for curve tracking under unknown curvatures and control uncertainty. The system dynamics include a nonlinear dependence on the curvature, and are coupled with an estimator for the unknown curvature to form the augmented error dynamics. This nonlinear dependence puts our curvature identification objective outside the scope of existing adaptive tracking and parameter identification results that were limited to cases where the unknown parameters ...

Non-Local Methods In Fracture Dynamics, 2018 Louisiana State University and Agricultural and Mechanical College

#### Non-Local Methods In Fracture Dynamics, Eyad Said

##### LSU Doctoral Dissertations

We first introduce a regularized model for free fracture propagation based on non-local potentials. We work within the small deformation setting and the model is developed within a state based peridynamic formulation. At each instant of the evolution we identify the softening zone where strains lie above the strength of the material. We show that deformation discontinuities associated with flaws larger than the length scale of non-locality $\delta$ can become unstable and grow. An explicit inequality is found that shows that the volume of the softening zone goes to zero linearly with the length scale of non-local interaction. This scaling ...

Spectra Of Quantum Trees And Orthogonal Polynomials, 2018 Louisiana State University and Agricultural and Mechanical College

#### Spectra Of Quantum Trees And Orthogonal Polynomials, Zhaoxia Wang

##### LSU Doctoral Dissertations

We investigate the spectrum of regular quantum-graph trees, where the edges are endowed with a Schr\"odinger operator with self-adjoint Robin vertex conditions. It is known that, for large eigenvalues, the Robin spectrum approaches the Neumann spectrum. In this research, we compute the lower Robin spectrum. The spectrum can be obtained from the roots of a sequence of orthogonal polynomials involving two variables. As the length of the quantum tree increases, the spectrum approaches a band-gap structure. We find that the lowest band tends to minus infinity as the Robin parameter increases, whereas the rest of the bands remain positive ...

2018 Golden Gate University School of Law

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Iteration With Stepsize Parameter And Condition Numbers For A Nonlinear Matrix Equation, 2018 Pusan National University

#### Iteration With Stepsize Parameter And Condition Numbers For A Nonlinear Matrix Equation, Syed M. Raza Shah Naqvi, Jie Meng, Hyun-Min Kim

##### Electronic Journal of Linear Algebra

In this paper, the nonlinear matrix equation $X^p+A^TXA=Q$, where $p$ is a positive integer, $A$ is an arbitrary $n\times n$ matrix, and $Q$ is a symmetric positive definite matrix, is considered. A fixed-point iteration with stepsize parameter for obtaining the symmetric positive definite solution of the matrix equation is proposed. The explicit expressions of the normwise, mixed and componentwise condition numbers are derived. Several numerical examples are presented to show the efficiency of the proposed iterative method with proper stepsize parameter and the sharpness of the three kinds of condition numbers.

Transport Phenomena In Field Effect Transistors, 2018 National Institute of Standards and Technology

#### Transport Phenomena In Field Effect Transistors, Ryan M. Evans, Arvind Balijepalli, Anthony Kearsley

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Quantitative Electroencephalography For Detecting Concussions, 2018 University of Richmond

#### Quantitative Electroencephalography For Detecting Concussions, Sara Krehbiel, Kathy Hoke, Joanna Wares

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

2018 Louisiana State University and Agricultural and Mechanical College

#### Generation Of Nonlinear-Differential-Equations System From A Model Of Boolean Relationships In Arabidopsis Salt Stress Network, Renee Dale

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

A Mathematical Model Of The Obesity Epidemic, 2018 Norfolk State University

#### A Mathematical Model Of The Obesity Epidemic, Ana L. Vivas-Barber

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

2018 DBASSE of National Academy of Sciences, Editor of American Journal of Theoretical and Applied Statistics

#### Applications Of Multidimensional Time Model For Pdf To Model Permeability Of Plasma Membrane And Transcription Of Cytoplasmic Dna For Different Vaccination Trails., Michael Fundator

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Spatial Spread Of Defective Interfering Particles And Its Role In Suppressing Viral Load, 2018 North Carolina State University at Raleigh

#### Spatial Spread Of Defective Interfering Particles And Its Role In Suppressing Viral Load, Qasim Ali Qa, Ruian Ke

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Dynamics Of Quadratic Networks, 2018 SUNY New Paltz

#### Dynamics Of Quadratic Networks, Simone Evans

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Predicting Critical Transitions In Spatially Distributed Populations With Cubical Homology, 2018 College of William and Mary

#### Predicting Critical Transitions In Spatially Distributed Populations With Cubical Homology, Laura Storch, Sarah Day

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Distance-Varying Assortativity And Clustering Of The International Trade Network, 2018 Deutsche Bundesbank

#### Distance-Varying Assortativity And Clustering Of The International Trade Network, Angela Abbate, Luca De Benedictis, Giorgio Fagiolo, Lucia Tajoli

##### Luca De Benedictis

In this paper we study how the topology of the International Trade Network (ITN) changes in geographical space, and along time. We employ geographical distance between countries in the World to filter the links in the ITN, building a sequence of sub-networks, each one featuring trade links occurring at similar distance. We then test if the assortativity
and clustering of ITN subnetworks changes as distance increases, and we nd that this is indeed the case: distance strongly impacts, in a non-linear way, the topology of the ITN.We show that the ITN is disassortative at long distances while it is ...

2018 DePaul University

#### United States Population Future Estimates And Long-Term Distribution, Sean P. Brogan

##### DePaul Discoveries

The population of the United States has always increased year over year. Even now with decreasing birth rates, the overall population continues to grow when looking at conventional models. The present study specifically examines what would happen to the U.S. population if we were to maintain the current birth and survival rates into the future. By 2050, our research shows that the U.S. population will become much older and cease to grow at all.

2018 Florida State University

#### Modeling Hcv Interactions With P53: Implications For Carcinogenesis, Harsh Jain

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Disruption Of Synchronous Behavior In Pancreatic Islets Via Hub Cells, 2018 University of Maryland - Baltimore County

#### Disruption Of Synchronous Behavior In Pancreatic Islets Via Hub Cells, Janita Patwardhan

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Quantifying Effects Of Neutrophil Memory On Migration Patterns Using Microfluidic Platforms And Ode Modeling Of The Mechanistic Molecular Pathways, 2018 Virginia Polytechnic Institute and State University

#### Quantifying Effects Of Neutrophil Memory On Migration Patterns Using Microfluidic Platforms And Ode Modeling Of The Mechanistic Molecular Pathways, Brittany P. Boribong, Mark J. Lenzi, Mirjam Sarah Kadelka, Stanca Ciupe, Liwu Li, Caroline N. Jonea

##### Biology and Medicine Through Mathematics Conference

No abstract provided.