Results 21 to 30 of about 5,681 (163)
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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Shaping attraction basins in neural networks [PDF]
Neural Networks, 1990 Abstract An interesting duality between two formally related schemes for neural associative memory is exploited to shape the attraction basins of stored memories. Considered are a family of spectral algorithms—based on specifying the spectrum of the matrix of weights as a function of the memories to be stored—and a class of dual spectral algorithms ...
PANCHA, G. +3 more
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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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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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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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Recognizing Sets in Evolutionary Multiobjective Optimization
Journal of Telecommunications and Information Technology, 2012 Among Evolutionary Multiobjective Optimization Algorithms (EMOA) there are many which find only Paretooptimal solutions. These may not be enough in case of multimodal problems and non-connected Pareto fronts, where more information about the shape of ...
Ewa Gajda-Zagórska
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A Novel Mega-stable Chaotic Circuit [PDF]
Radioengineering, 2020 In recent years designing new multistable chaotic oscillators has been of noticeable interest. A multistable system is a double-edged sword which can have many benefits in some applications while in some other situations they can be even dangerous.
V. T. Pham +5 more
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