Dynamics on Parameter Spaces: Submanifold and Fractal Subset Questions

2002 ◽  
pp. 425-440 ◽  
Author(s):  
Barak Weiss
Keyword(s):  
Parameter Spaces

scholarly journals Pareto Ranking Bisection Algorithm for EM-Driven Multi-Objective Design of Antennas in Highly-Dimensional Parameter Spaces

2017 ◽  
Vol 108 ◽  
pp. 1453-1462
Author(s):  
Adrian Bekasiewicz ◽  
Slawomir Koziel ◽  
Leifur Leifsson ◽  
Xiaosong Du
Keyword(s):  
Dimensional Parameter ◽  
Parameter Spaces ◽  
Bisection Algorithm ◽  
Multi Objective ◽  
Pareto Ranking

scholarly journals On explicit connections between dynamical and parameter spaces

2003 ◽  
Vol 91 (1) ◽  
pp. 297-327 ◽  
Author(s):  
Genadi Levin
Keyword(s):  
Parameter Spaces

scholarly journals Chaos and Stability in a New Iterative Family for Solving Nonlinear Equations

Algorithms ◽  
2021 ◽  
Vol 14 (4) ◽  
pp. 101
Author(s):  
Alicia Cordero ◽  
Marlon Moscoso-Martínez ◽  
Juan R. Torregrosa
Keyword(s):  
Fixed Points ◽  
Periodic Orbits ◽  
Nonlinear Equations ◽  
Fourth Order ◽  
Complex Dynamics ◽  
Convergence Properties ◽  
Parameter Spaces ◽  
Numerical Tests ◽  
The Family ◽  
Dynamics Stability

In this paper, we present a new parametric family of three-step iterative for solving nonlinear equations. First, we design a fourth-order triparametric family that, by holding only one of its parameters, we get to accelerate its convergence and finally obtain a sixth-order uniparametric family. With this last family, we study its convergence, its complex dynamics (stability), and its numerical behavior. The parameter spaces and dynamical planes are presented showing the complexity of the family. From the parameter spaces, we have been able to determine different members of the family that have bad convergence properties, as attracting periodic orbits and attracting strange fixed points appear in their dynamical planes. Moreover, this same study has allowed us to detect family members with especially stable behavior and suitable for solving practical problems. Several numerical tests are performed to illustrate the efficiency and stability of the presented family.

Restricted Parameter Spaces

2018 ◽  
pp. 215-235
Author(s):  
Dominique Fourdrinier ◽  
William E. Strawderman ◽  
Martin T. Wells
Keyword(s):  
Parameter Spaces

An efficient algorithm for constructing Γ-minimax tests for finite parameter spaces

2001 ◽  
Vol 36 (2) ◽  
pp. 145-161 ◽  
Author(s):  
Roger Fandom Noubiap ◽  
Wilfried Seidel
Keyword(s):  
Efficient Algorithm ◽  
Parameter Spaces

scholarly journals A statistical evaluation of the origin of cypress domes in Florida

2020 ◽  
Author(s):  
Eron Raines
Keyword(s):  
Striking Similarity ◽  
Geologic History ◽  
Parameter Spaces ◽  
Surface Areas ◽  
Biological Explanation ◽  
Starting Conditions ◽  
History Of ◽  
Cypress Domes ◽  
Ecological Feedbacks ◽  
Globally Distributed

Two competing explanations exist for the origin of one type of karstic landform found in Florida called the cypress dome. One explanation relies on complex ecological feedbacks stemming from nutrient cycling suggesting biota contribute more significantly to processes of landscape evolution in Florida than anywhere else in the world. The second explanation is that the landforms are sinkholes that completely preclude the biological explanation while fitting more parsimoniously with the surrounding geological narrative. This work puts forward geostatistical analyses and a model linking the landforms to sinkholes, thus bolstering the geological explanation for origin of the landform. Satellite imagery of sinkholes occurring in limestone from locations spanning the planet was analyzed. Measurements of globally distributed limestone sinkhole surface areas are best characterized by an exponential distribution indicating sinkhole formation is robust to starting conditions (i.e., climate, tectonics). This observation is supported by an analysis of sinkhole geometry and geospatial dispersion. This demonstrates the geospatial parameters space for globally distributed groups of sinkholes forming in limestone are statistically indistinguishable despite sinkhole formation in different climates, tectonic regimes, and at different times. Employing this observation as a tool, sinkholes are directly compared to the cypress domes in Florida and are found to be statistically indistinguishable. From the striking similarity in spatial parameter spaces in conjunction with the geologic history of the area, it is interpreted that these landforms originate through geologic, not biologic, processes.

scholarly journals Parameter spaces for quadrics

1996 ◽  
Vol 36 (1) ◽  
pp. 199-216 ◽  
Author(s):  
Anders Thorup
Keyword(s):  
Parameter Spaces
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