Comparing the basins of attraction for several methods in the circular Sitnikov problem with spheroid primaries
Sign Up to like & getrecommendations! Published in 2018 at "Astrophysics and Space Science"
DOI: 10.1007/s10509-018-3337-7
Abstract: The circular Sitnikov problem, where the two primary bodies are prolate or oblate spheroids, is numerically investigated. In particular, the basins of convergence on the complex plane are revealed by using a large collection of… read more here.
Keywords: complex plane; sitnikov problem; basins attraction; circular sitnikov ... See more keywords
Estimating the number of basins of attraction of multi-objective combinatorial problems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Combinatorial Optimization"
DOI: 10.1007/s10878-018-0357-8
Abstract: The efficiency of local search is proportional to the number and the distribution of basins of attraction. Often combinatorial optimisation problems have a large number of local optima, uncountable with available computational resources. Approximating the… read more here.
Keywords: number; number basins; attraction multi; multi objective ... See more keywords
Investigating the Newton–Raphson basins of attraction in the restricted three-body problem with modified Newtonian gravity
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-016-1061-4
Abstract: The planar circular restricted three-body problem with modified Newtonian gravity is used in order to determine the Newton–Raphson basins of attraction associated with the equilibrium points. The evolution of the position of the five Lagrange… read more here.
Keywords: newtonian gravity; basins attraction; newton raphson;
Basins of Attraction and Stability of Nonlinear Systems’ Equilibrium Points
Sign Up to like & getrecommendations! Published in 2019 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-019-00511-w
Abstract: The system of differential and operator equations is considered. This system is assumed to enjoy an equilibrium point. The Cauchy problem with the initial condition with respect to one of the desired functions is formulated.… read more here.
Keywords: stability nonlinear; equilibrium; basins attraction; nonlinear systems ... See more keywords
Six-dimensional basins of attraction computation on small clusters with semi-parallelized SCM method
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-019-00557-2
Abstract: In modern engineering applications it is needed to determine the robustness of stable steady states, which depends on the shape and size of the associated basins of attraction. Once the basins are known, the quantitative… read more here.
Keywords: six dimensional; method; scm method; attraction computation ... See more keywords
On the Dynamics of a Biomimetic Model of a Sympodial Tree: From Bifurcations Diagrams and 6D Basins of Attraction to Dynamical Integrity and Robustness
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Computational and Nonlinear Dynamics"
DOI: 10.1115/1.4052570
Abstract: This work is concerned with a mechanical model of a sympodial tree with first-level branches, which has been shown to exhibit certain properties potentially suitable for biomimetic applications. To investigate these potential benefits further from… read more here.
Keywords: model sympodial; model; integrity; basins attraction ... See more keywords
Multi-core and many-core SPMD parallel algorithms for construction of basins of attraction
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Theoretical and Applied Mechanics"
DOI: 10.15632/jtam-pl/112463
Abstract: Construction of basins of attraction, used for the analysis of nonlinear dynamical systems which present multistability, are computationaly very expensive. Because of the long runtime needed, in many cases, the construction of basins does not… read more here.
Keywords: construction basins; construction; parallel algorithms; basins attraction ... See more keywords
Optimal Fourth, Eighth and Sixteenth Order Methods by Using Divided Difference Techniques and Their Basins of Attraction and Its Application
Sign Up to like & getrecommendations! Published in 2019 at "Mathematics"
DOI: 10.3390/math7040322
Abstract: The principal objective of this work is to propose a fourth, eighth and sixteenth order scheme for solving a nonlinear equation. In terms of computational cost, per iteration, the fourth order method uses two evaluations… read more here.
Keywords: sixteenth order; eighth sixteenth; order; order methods ... See more keywords
Further Discussions of the Complex Dynamics of a 2D Logistic Map: Basins of Attraction and Fractal Dimensions
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12122001
Abstract: In this paper, we study the complex dynamic characteristics of a simple nonlinear logistic map. The map contains two parameters that have complex influences on the map’s dynamics. Assuming different values for those parameters gives… read more here.
Keywords: logistic map; map; complex dynamics; fractal dimensions ... See more keywords