Camassa-Holm Cuspons, Solitons And Their Interactions Via The Dressing Method, 2020 Technological University Dublin
Camassa-Holm Cuspons, Solitons And Their Interactions Via The Dressing Method, Rossen Ivanov, Tony Lyons, Nigel Orr
Articles
A dressing method is applied to a matrix Lax pair for the Camassa–Holm equation, thereby allowing for the construction of several global solutions of the system. In particular, solutions of system of soliton and cuspon type are constructed explicitly. The interactions between soliton and cuspon solutions of the system are investigated. The geometric aspects of the Camassa–Holm equation are re-examined in terms of quantities which can be explicitly constructed via the inverse scattering method.
Interpretations Of Bicoherence In Space & Lab Plasma Dynamics, 2020 West Virginia University
Interpretations Of Bicoherence In Space & Lab Plasma Dynamics, Gregory Allen Riggs
Graduate Theses, Dissertations, and Problem Reports
The application of bicoherence analysis to plasma research, particularly in non-linear, coupled-wave regimes, has thus far been significantly belied by poor resolution in time, and/or outright destruction of frequency information. Though the typical power spectrum cloaks the phase-coherency between frequencies, Fourier transforms of higher-order convolutions provide an n-dimensional spectrum which is adept at elucidating n-wave phase coherence. As such, this investigation focuses on the utility of the normalized bispectrum for detection of wave-wave coupling in general, with emphasis on distinct implications within the scope of non-linear plasma physics. Interpretations of bicoherent features are given for time series from …
The Effect Of External Perturbations On Ecological Oscillators, 2019 University of Portland
The Effect Of External Perturbations On Ecological Oscillators, Eli Goldwyn
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Analog Implementation Of The Hodgkin-Huxley Model Neuron, 2019 Illinois State University
Analog Implementation Of The Hodgkin-Huxley Model Neuron, Zachary D. Mobille, George H. Rutherford, Jordan Brandt-Trainer, Rosangela Follmann, Epaminondas Rosa
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Analysis Of An Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, 2019 Benedictine University
Analysis Of An Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, Timothy Comar
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Discrete-Time Disease Model With Population Motion Under The Kolmogorov Equation View And Application, 2019 Illinois State University
Discrete-Time Disease Model With Population Motion Under The Kolmogorov Equation View And Application, Ye Li
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Academic Skill Learning And The Problem Of Complexity I: Creational Purposeful Integrated Capability At Skill (Cpics), 2019 Brown University
Academic Skill Learning And The Problem Of Complexity I: Creational Purposeful Integrated Capability At Skill (Cpics), Martin F. Gardiner
Northeast Journal of Complex Systems (NEJCS)
Physical and mental skills are intended to achieve success at acting purposefully. As capability at any skill increases, the need to adjust details of application to complexity of context and goals will increase as well. It will become more and more important to prepare mentally for what I now term Creational Purposeful Integrated Capability at Skill (CPICS). This paper develops what I mean by CPICS. Theory concerning Complex Dynamical Systems (CDS) such as the brain and other evidence points to the likelihood that the mental operations by which our brain produces any kind of skillful behavior cannot remain constant, …
A Patterning Approach To Complexity Thinking And Understanding For Students: A Case Study, 2019 Southern Cross University
A Patterning Approach To Complexity Thinking And Understanding For Students: A Case Study, Shae L. Brown
Northeast Journal of Complex Systems (NEJCS)
Complexity thinking and understanding are vital skills for young people in these times of uncertainty and change. Such skills contribute to resilience and capacities for adaptivity and innovation. Within my teaching practice I have found students to be aware of complex dynamics, uncertainty and change, both in their lives and in the world. However, the current curriculum lacks language and process to conceptualise, articulate and develop complexity understanding. To address this problem, I developed and introduced a patterns-based design and process to a cohort of Australian secondary students. Comprising flowform patterning together with ecological metaphors, the design forms a conceptual …
Being In Uncertainties: An Inquiry-Based Model Leveraging Complexity In Teaching-Learning, 2019 State University of New York, Suffern
Being In Uncertainties: An Inquiry-Based Model Leveraging Complexity In Teaching-Learning, Diane Rosen
Northeast Journal of Complex Systems (NEJCS)
Education is traditionally structured as a closed system, privileging result-driven methods that offer control and predictability. In recent decades this reductionist approach has been effectively challenged by interdisciplinary work in complex systems theory, revealing myriad levels of orderly disorder that make either-or, linear instruction an inadequate norm. Narrowing the broad implications of a complexity lens on education, this paper focuses on generative uncertainty in teaching-learning, a paradoxical state of epistemological and creative growth described by English poet John Keats as "the negative capability of being in uncertainties, mysteries, doubts." Opportunities to advance this potentiating capacity are especially abundant in constructivist …
Creativity As An Emergent Property Of Complex Educational System, 2019 Montclair State University
Creativity As An Emergent Property Of Complex Educational System, Ceire Monahan, Mika Munakata, Ashwin Vaidya
Northeast Journal of Complex Systems (NEJCS)
The importance of creativity in education has been discussed often in the literature. While there remains no agreed-upon definition of creativity, the psychological literature points to traits of a creative person. These include the ability to think outside the box, make connections between seemingly disparate ideas, and question norms. The literature provides several examples of classroom experiments to help foster creativity in the classroom. In science and mathematics, we can start by getting students to recognize mathematics and the sciences as being creative endeavors. While these attempts are noteworthy, they are not necessarily aligned with instructional practices. In this article, …
Rethinking Educational Reforms Through A Complex Dynamical Systems Approach: Preliminary Report From An Empirical Research, 2019 Aristotle University of Thessaloniki
Rethinking Educational Reforms Through A Complex Dynamical Systems Approach: Preliminary Report From An Empirical Research, Eugenia Tsiouplis, Dimitrios Stamovlasis
Northeast Journal of Complex Systems (NEJCS)
Literature on educational reforms is rich of cases where changes have been attempted, without however to attain success. Likewise the Greek education system had experienced a lot of reforms, most of which have failed to make the intended changes and they attenuated shortly after their implementation or they ceased at the stage of legislative planning. On the other hand, the traditional research have failed to develop a coherent theoretical perspective and provide satisfactory interpretations of the perpetually unsuccessful reforms. This paper is part of wider project which attempts to address the above issue following the Complex Dynamical Systems (CDS) perspective, …
Editorial Introduction To The Northeast Journal Of Complex Systems (Nejcs), 2019 Binghamton University, SUNY
Editorial Introduction To The Northeast Journal Of Complex Systems (Nejcs), Hiroki Sayama, Georgi Georgiev
Northeast Journal of Complex Systems (NEJCS)
Editorial Introduction to the Northeast Journal of Complex Systems (NEJCS)
Fractality And Power Law Distributions: Shifting Perspectives In Educational Research, 2019 Mercy College
Fractality And Power Law Distributions: Shifting Perspectives In Educational Research, Matthijs Koopmans
Northeast Journal of Complex Systems (NEJCS)
The dynamical character of education and the complexity of its constituent relationships have long been recognized, but the full appreciation of the implications of these insights for educational research is recent. Most educational research to this day tends to focus on outcomes rather than process, and rely on conventional cross-sectional designs and statistical inference methods that do not capture this complexity. This presentation focuses on two related aspects not well accommodated by conventional models, namely fractality (self-similarity, scale invariance) and power law distributions (an inverse relationship between frequency of occurrence and strength of response). Examples are presented for both phenomena …
One-Note-Samba Approach To Cosmology, 2019 University of New Mexico
One-Note-Samba Approach To Cosmology, Florentin Smarandache, Victor Christianto
Branch Mathematics and Statistics Faculty and Staff Publications
Inspired by One Note Samba, a standard jazz repertoire, we present an outline of Bose-Einstein Condensate Cosmology. Although this approach seems awkward and a bit off the wall at first glance, it is not impossible to connect altogether BEC, Scalar Field Cosmology and Feshbach Resonance with Ermakov-Pinney equation. We also briefly discuss possible link with our previous paper which describes Newtonian Universe with Vortex in terms of Ermakov equation.
Investigation Of Fundamental Principles Of Rigid Body Impact Mechanics, 2019 Southern Methodist University
Investigation Of Fundamental Principles Of Rigid Body Impact Mechanics, Khalid Alluhydan
Mechanical Engineering Research Theses and Dissertations
In impact mechanics, the collision between two or more bodies is a common, yet a very challenging problem. Producing analytical solutions that can predict the post-collision motion of the colliding bodies require consistent modeling of the dynamics of the colliding bodies. This dissertation presents a new method for solving the two and multibody impact problems that can be used to predict the post-collision motion of the colliding bodies. Also, we solve the rigid body collision problem of planar kinematic chains with multiple contacts with external surfaces.
In the first part of this dissertation, we study planar collisions of Balls and …
The Long-Run Effects Of Tropical Cyclones On Infant Mortality, 2019 The University of San Francisco
The Long-Run Effects Of Tropical Cyclones On Infant Mortality, Isabel Miranda
Master's Theses
In the United States alone, each tropical cyclone causes an average of $14.6 billion worth of damages. In addition to the destruction of physical infrastructure, natural disasters also negatively impact human capital formation. These losses are often more difficult to observe, and therefore, are over looked when quantifying the true costs of natural disasters. One particular effect is an increase in infant mortality rates, an important indicator of a country’s general socioeconomic level. This paper utilizes a model created by Anttila-Hughes and Hsiang, that takes advantage of annual variation in tropical cyclones using annual spatial average maximum wind speeds and …
Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, 2019 Virginia Commonwealth University
Characterizing The Permanence And Stationary Distribution For A Family Of Malaria Stochastic Models, Divine Wanduku
Biology and Medicine Through Mathematics Conference
No abstract provided.
School Policy Evaluated With Time-Reversible Markov Chain, 2019 University of Connecticut - Storrs
School Policy Evaluated With Time-Reversible Markov Chain, Trajan Murphy, Iddo Ben-Ari
Honors Scholar Theses
In this work we propose a reversible Markov chain scheme to model for the mobility of students affected by a grade school leveling policy. This model provides unified and mathematically tractable framework in which transition functions are sampled uniformly from the set of {\bf reversible} transition functions. The results from the study appear to confirm the disadvantageous effects of this school policy, on par with the of a previous model on the same policy.
Topology And Dynamics Of Gene Regulatory Networks: A Meta-Analysis, 2019 Iowa State University
Topology And Dynamics Of Gene Regulatory Networks: A Meta-Analysis, Claus Kadelka
Biology and Medicine Through Mathematics Conference
No abstract provided.
Predicting Dynamics From Hardwiring In Canonical Low-Dimensional Coupled Networks, 2019 State University of New York at New Paltz
Predicting Dynamics From Hardwiring In Canonical Low-Dimensional Coupled Networks, Anca R. Radulescu
Biology and Medicine Through Mathematics Conference
No abstract provided.