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Random Boolean Networks and Evolutionary Game Theory [PDF]
, 2002 Recent years have seen increased interest in the question of whether it is possible to provide an evolutionary game theoretic explanation for certain kinds of social norms. These explanatory approaches often rely on the fact that, in certain evolutionary
Alexander, J McKenzie +1 more
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Education Sciences, 2022 Recent research has suggested that Higher Education would benefit from the adoption of institutional models that relinquish ties to industrial thinking and associated metaphors.
Ian M. Kinchin
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On the region of attraction of dynamical systems: Application to Lorenz equations [PDF]
Archives of Control Sciences, 2020 Many nonlinear dynamical systems can present a challenge for the stability analysis in particular the estimation of the region of attraction of an equilibrium point. The usual method is based on Lyapunov techniques.
M.A., Hammami, N.H., Rettab
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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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Anatomy of the Attraction Basins: Breaking with the Intuition [PDF]
Evolutionary Computation, 2019 Solving combinatorial optimization problems efficiently requires the development of algorithms that consider the specific properties of the problems. In this sense, local search algorithms are designed over a neighborhood structure that partially accounts for these properties.
Leticia Hernando +2 more
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Ball Comparison between Two Efficient Weighted-Newton-like Solvers for Equations
Foundations, 2022 We compare the convergence balls and the dynamical behaviors of two efficient weighted-Newton-like equation solvers by Sharma and Arora, and Grau-Sánchez et al.
Ioannis K. Argyros +3 more
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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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Mathematical and Computational Applications, 2022 We propose a new iterative scheme without memory for solving nonlinear equations. The proposed scheme is based on a cubically convergent Hansen–Patrick-type method.
Himani Sharma +2 more
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Basins of Attraction of a Nonlinear Nanomechanical Resonator [PDF]
Physical Review Letters, 2007 We present an experiment that systematically probes the basins of attraction of two fixed points of a nonlinear nanomechanical resonator and maps them out with high resolution. We observe a separatrix which progressively alters shape for varying drive strength and changes the relative areas of the two basins of attraction.
Kozinsky, I. +4 more
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Efficient two-step with memory methods and their dynamics. [PDF]
Mathematics and Computational SciencesIn this work,a fourth-order without-memory method is proposed that has a self-accelerator parameter.This method doesn’t need to compute a derivative function forsolving nonlinear equations.We have approximated the self-accelerator parameter andhave ...
Vali Torkashvand
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