Results 41 to 50 of about 5,681 (163)
The Optimal Order Newton’s Like Methods with Dynamics
Mathematics, 2021 In this paper, we have obtained three optimal order Newton’s like methods of order four, eight, and sixteen for solving nonlinear algebraic equations. The convergence analysis of all the optimal order methods is discussed separately.
Manoj Kumar Singh, Arvind K. Singh
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Generating Root-Finder Iterative Methods of Second Order: Convergence and Stability
Axioms, 2019 In this paper, a simple family of one-point iterative schemes for approximating the solutions of nonlinear equations, by using the procedure of weight functions, is derived. The convergence analysis is presented, showing the sufficient conditions for the
Francisco I. Chicharro +3 more
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On the stability of passive dynamic walker with flat foot and series ankle spring
Advances in Mechanical Engineering, 2018 In this study, the effects of a flat foot and series ankle spring on walking stability and efficiency are investigated with three passive dynamic walking models.
Jiawei He, Gexue Ren
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Scaling solutions in quintessential inflation
European Physical Journal C: Particles and Fields, 2020 In quintessence scalar field theories, the presence of scaling solutions are important during the radiation and matter epoch due to having their attractor character.
Jaume Haro, Jaume Amorós, Supriya Pan
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Basins of attraction of chimera states on networks
Frontiers in Physiology, 2022 Networks of identical coupled oscillators display a remarkable spatiotemporal pattern, the chimera state, where coherent oscillations coexist with incoherent ones. In this paper we show quantitatively in terms of basin stability that stable and breathing chimera states in the original two coupled networks typically have very small basins of attraction.
Qiang Li +12 more
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On Chaotic Attractors Whose Basins of Attraction Coincide with the Whole Space
Journal of Optimization, Differential Equations and Their ApplicationsA new type of chaotic attractors, whose basin of attraction is the entire phase space, is considered. The main difference between these attractors and the known ones is that any trajectory starting from the basin of attraction first enters a unique ...
Vasiliy Ye. Belozyorov +2 more
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Basin of Attraction through Invariant Curves and Dominant Functions
Discrete Dynamics in Nature and Society, 2015 We study a second-order difference equation of the form zn+1=znF(zn-1)+h, where both F(z) and zF(z) are decreasing. We consider a set of invariant curves at h=1 and use it to characterize the behaviour of solutions when h>1 and when ...
Ziyad AlSharawi +2 more
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Mathematical and Computational Applications, 2018 In this study, an iterative scheme of sixth order of convergence for solving systems of nonlinear equations is presented. The scheme is composed of three steps, of which the first two steps are that of third order Potra-Pták method and last is ...
Himani Arora +2 more
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The Basin Stability of Bi-Stable Friction-Excited Oscillators
Lubricants, 2020 Stability considerations play a central role in structural dynamics to determine states that are robust against perturbations during the operation.
Merten Stender +2 more
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NON-LINEAR OPTIMIZATION METHODS FOR SMALL EARTHQUAKE LOCATIONS
TASK Quarterly, 2004 The problem of locating mine tremors using P-wave arrival times is revisited in the paper. A multidimensional, global, non-linear, constrained optimization method is used as a minimization algorithm for tremor location.In order to see the general ...
GRZEGORZ PSZCZOŁA, ANDRZEJ LEŚNIAK
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