scholarly journals Long-term orbit dynamics viewed through the yellow main component in the parameter space of a family of optimal fourth-order multiple-root finders

2020 ◽  
Vol 25 (8) ◽  
pp. 3087-3109 ◽  
Author(s):  
Young Hee Geum ◽  
◽  
Young Ik Kim
Keyword(s):  
Parameter Space ◽  
Fourth Order ◽  
Multiple Root ◽  
Main Component ◽  
Orbit Dynamics

scholarly journals Computational Bifurcations Occurring on Red Fixed Components in the λ-Parameter Plane for a Family of Optimal Fourth-Order Multiple-Root Finders under the Möbius Conjugacy Map

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 763
Author(s):  
Young Hee Geum ◽  
Young Ik Kim
Keyword(s):  
Fourth Order ◽  
Polynomial Function ◽  
Multiple Root ◽  
Parameter Plane ◽  
Connected Components ◽  
Computational Results ◽  
Boundary Equation ◽  
Chaotic Orbits ◽  
Bifurcation Phenomena

Optimal fourth-order multiple-root finders with parameter λ were conjugated via the Möbius map applied to a simple polynomial function. The long-term dynamics of these conjugated maps in the λ -parameter plane was analyzed to discover some properties of periodic, bounded and chaotic orbits. The λ -parameters for periodic orbits in the parameter plane are painted in different colors depending on their periods, and the bounded or chaotic ones are colored black to illustrate λ -dependent connected components. When a red fixed component in the parameter plane branches into a q-periodic component, we encounter geometric bifurcation phenomena whose characteristics determine the desired boundary equation and bifurcation point. Computational results along with illustrated components support the bifurcation phenomena underlying this paper.

Exploring the Fourth Order

2019 ◽  
Vol 2 (1) ◽  
Author(s):  
Barend KLITSIE ◽  
Rebecca PRICE ◽  
Christine DE LILLE
Keyword(s):  
Action Research ◽  
Fourth Order ◽  
Subject Matter ◽  
Action Research Project ◽  
Research Project ◽  
Building Trust ◽  
Current Business

Companies are organised to fulfil two distinctive functions: efficient and resilient exploitation of current business and parallel exploration of new possibilities. For the latter, companies require strong organisational infrastructure such as team compositions and functional structures to ensure exploration remains effective. This paper explores the potential for designing organisational infrastructure to be part of fourth order subject matter. In particular, it explores how organisational infrastructure could be designed in the context of an exploratory unit, operating in a large heritage airline. This paper leverages insights from a long-term action research project and finds that building trust and shared frames are crucial to designing infrastructure that affords the greater explorative agenda of an organisation.

scholarly journals Evaluation of amniotic hydrogel’s impact on the development of murine pre-antral follicles in mouse model

2019 ◽  
Vol 2 (4) ◽  
pp. 32-39
Author(s):  
Van Ngoc Le Trinh ◽  
Hang Thi Kim Tran ◽  
Thu Thuy Anh Vo ◽  
Tuyet Thi Vi Le ◽  
Ha Le Bao Tran
Keyword(s):  
In Vitro Maturation ◽  
High Demand ◽  
Antral Follicles ◽  
Secondary Follicle ◽  
The Moment ◽  
Main Component ◽  
Supporting Frame ◽  
Mature Process

Global average infertility rate is about 6– 12%, and in Vietnam at around 7.7%. As a result, there is a high demand for treatment, especially for female infertility. In vitro maturation (IVM) was evaluated and proven to be the most popular and promising at the moment. In long-term cultivation, the follicle was observed to extend, therefore, the usage of a supporting frame is quite necessary to maintain follicle’s natural sphere structure as well as completing the mature process. Amniotic membrane is an avascular membrane, composed of collagen, fibronectin, nidogen, proteoglycan, containing a big number of growth – factors with antimicrobial, anti-inflammatory, low immunogenicity and viscoelasticity properties. Amniotic hydrogel owns structure formed with thin fibers to help preserve the main component as collagen, which can turn to gel form at 37 degree Celsius. With those properties, amniotic hydrogel showed high potential as a scaffold for the follicle. When amniotic hydrogel is used as a scaffold for cultivating of secondary follicle (100 – 130 µm), the size of oocyte and follicle increased after 12 days of culturing, along with the formation of antrum. The results demonstrated the possibility to use amniotic hydrogel as a scaffold for the development of the secondary follicle.

scholarly journals Long-term orbit dynamics of decommissioned geostationary satellites

2020 ◽  
Author(s):  
Simone Proietti ◽  
Roberto Flores ◽  
Elena Fantino ◽  
Mauro Pontani
Keyword(s):  
Geostationary Satellites ◽  
Orbit Dynamics

Time and Frequency Analysis of Particle Swarm Trajectories for Cognitive Machines

2011 ◽  
Vol 5 (1) ◽  
pp. 18-42 ◽  
Author(s):  
Dario Schor ◽  
Witold Kinsner
Keyword(s):  
Particle Swarm Optimization ◽  
Parameter Space ◽  
Particle Swarm ◽  
Local Area ◽  
Complexity Measures ◽  
Swarm Optimization ◽  
Frequency Domains ◽  
Frequency Domain Techniques ◽  
And Control

This paper examines the inherited persistent behavior of particle swarm optimization and its implications to cognitive machines. The performance of the algorithm is studied through an average particle’s trajectory through the parameter space of the Sphere and Rastrigin function. The trajectories are decomposed into position and velocity along each dimension optimized. A threshold is defined to separate the transient period, where the particle is moving towards a solution using information about the position of its best neighbors, from the steady state reached when the particles explore the local area surrounding the solution to the system. Using a combination of time and frequency domain techniques, the inherited long-term dependencies that drive the algorithm are discerned. Experimental results show the particles balance exploration of the parameter space with the correlated goal oriented trajectory driven by their social interactions. The information learned from this analysis can be used to extract complexity measures to classify the behavior and control of particle swarm optimization, and make proper decisions on what to do next. This novel analysis of a particle trajectory in the time and frequency domains presents clear advantages of particle swarm optimization and inherent properties that make this optimization algorithm a suitable choice for use in cognitive machines.

The Influence of Long-Term Heat Treatment on Microstructure of Zr-Modified Aluminide Coating Deposited by CVD Method on MAR M200+Hf Nickel Superalloy

2013 ◽  
Vol 592-593 ◽  
pp. 469-472 ◽  
Author(s):  
Ryszard Filip ◽  
Marek Góral ◽  
Marcin Zawadzki ◽  
Andrzej Nowotnik ◽  
Maciej Pytel
Keyword(s):  
Heat Treatment ◽  
Aluminide Coating ◽  
Chemical Vapour ◽  
Nickel Superalloy ◽  
Phase Changes ◽  
Vacuum Furnace ◽  
Aluminide Coatings ◽  
Nial Phase ◽  
Main Component

The article presents the investigation of influence of long-term annealing of Zr modified aluminide coatings on its microstructure. The coatings were deposited by Chemical Vapour Deposition on MAR M200+Hf nickel superalloy. Annealing was carried out in a vacuum furnace at the temperature 1020°C within the period of 12, 16 and 20 hours respectively. The microstructral analysis was carried out using Hitachi S-3400 scanning electron microscope. Phase changes in the aluminide layer were observed, particularly the NiAl phase into Ni3Al. Changes in thickness of individual layers in the coating were observed. Conducted research showed that there is no influence of Zr on structure of the aluminide coating during annealing. The structure changes are similar to observed in simple aluminide coating. The maximum time of heat treatment without significant influence on structure of aluminide coating is 16 hours. After that time the main component of coating is NiAl phase.

scholarly journals Sexual reproduction with variable mating systems can resist asexuality in a rock–paper–scissors dynamics

2015 ◽  
Vol 2 (7) ◽  
pp. 140383 ◽  
Author(s):  
Juan Carranza ◽  
Vicente Polo
Keyword(s):  
Mating System ◽  
Sexual Reproduction ◽  
Parameter Space ◽  
Mating Systems ◽  
Reproductive Mode ◽  
Long Term Effects ◽  
Diploid Population ◽  
Theoretical Question ◽  
Equal Contribution

While sex can be advantageous for a lineage in the long term, we still lack an explanation for its maintenance with the twofold cost per generation. Here we model an infinite diploid population where two autosomal loci determine, respectively, the reproductive mode, sexual versus asexual and the mating system, polygynous (costly sex) versus monogamous (assuming equal contribution of parents to offspring, i.e. non-costly sex). We show that alleles for costly sex can spread when non-costly sexual modes buffer the interaction between asexual and costly sexual strategies, even without twofold benefit of recombination with respect to asexuality. The three interacting strategies have intransitive fitness relationships leading to a rock–paper–scissors dynamics, so that alleles for costly sex cannot be eliminated by asexuals in most situations throughout the parameter space. Our results indicate that sexual lineages with variable mating systems can resist the invasion of asexuals and allow for long-term effects to accumulate, thus providing a solution to the persisting theoretical question of why sex was not displaced by asexuality along evolution.

Dynamics of granular band formation: Long-term behavior in slurries, parameter space, and tilted cylinders

2005 ◽  
Vol 71 (1) ◽  
Author(s):  
Tim Arndt ◽  
Tanja Siegmann-Hegerfeld ◽  
Stanley J. Fiedor ◽  
Julio M. Ottino ◽  
Richard M. Lueptow
Keyword(s):  
Parameter Space ◽  
Band Formation ◽  
Long Term Behavior
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