Results 31 to 40 of about 5,721 (292)
Newton’s method’s basins of attraction revisited [PDF]
Applied Mathematics and Computation, 2009 In this paper, we revisit the chaotic number of iterations needed by Newton's method to converge to a root. Here, we consider a simple modified Newton method depending on a parameter. It is demonstrated using polynomiography that even in the simple algorithm the presence and the position of the convergent regions, i.e.
Hadi Susanto, Natanael Karjanto
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Classifying basins of attraction using the basin entropy
, 2022 A basin of attraction represents the set of initial conditions leading to a specific asymptotic state of a given dynamical system. Here, we provide a classification of the most common basins found in nonlinear dynamics with the help of the basin entropy.
Daza, Alvar +3 more
core +1 more source
Basins of attraction in nonsmooth models of gear rattle
, 2008 This paper is concerned with the computation of the basins of attraction of a simple one degree-of-freedom backlash oscillator using cell-to-cell mapping techniques. This analysis is motivated by the modeling of order vibration in geared systems.
Wilson, RE +7 more
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Abstract Basins of Attraction [PDF]
, 2015 Abstract basins appear naturally in different areas of several complex variables. In this survey we want to describe three different topics in which they play an important role, leading to interesting open problems.
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A Borane Sandwich Analogue of Ferrocene
Angewandte Chemie, EarlyView.The first ferrocene analogue with two boron‐based ligands is identified through a global exploration of the FeB10H20 potential energy surface. The η5,η5‐Fe(B5H10)2 complex emerges as the global minimum, showing that metal coordination inverts borane stability and enables aromatic boron rings inaccessible in isolation.
Viviana Roman‐Ventura +8 more
wiley +2 more sources
Unpredictability, Uncertainty and Fractal Structures in Physics
Chaos Theory and Applications, 2021 In Physics, we have laws that determine the time evolution of a given physical system, depending on its parameters and its initial conditions. When we have multi-stable systems, many attractors coexist so that their basins of attraction might possess ...
Miguel A. F. Sanjuan
doaj
Estimation of the basin of attractions in CNNs
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1998 Summary: A technique is discussed in order to find an estimation of the basin of attraction for each stable equilibrium point in cellular neural networks. The technique is based on the determination of the direction of the trajectories for each of the regions in which the state space is devided via the piecewise linear output function of each cell.
Mladenov, V.M. +2 more
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Potentials and limits to basin stability estimation
New Journal of Physics, 2017 Stability assessment methods for dynamical systems have recently been complemented by basin stability and derived measures, i.e. probabilistic statements whether systems remain in a basin of attraction given a distribution of perturbations.
Paul Schultz +3 more
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Basins of attraction for family of Popovski’s methods and their extension to multiple roots
Journal of Numerical Analysis and Approximation Theory, 2022 In this paper we revisit Popovski’s family of methods for simple roots. We compare several members using basins of attraction visually and qualitatively by comparing the run-time on several examples, the average number of iterations and the number of ...
Beny Neta
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Advanced Science, EarlyView.An integrated computational screening strategy identified ursolic acid (UA) and 18β‐glycyrrhetinic acid (18βGA) as a self‐assembling food‐derived molecular pair. The resulting carrier‐free nanoparticles (UA‐18βGA) showed synergistic antiparasitic activity, reduced combined toxicity, and host‐protective anti‐inflammatory effects in zebrafish and murine ...
Shenye Qu +8 more
wiley +1 more source