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Estimating Attraction Basin Sizes [PDF]
, 2016 The performance of local search algorithms is influenced by the properties that the neighborhood imposes on the search space. Among these properties, the number of local optima has been traditionally considered as a complexity measure of the instance, and different methods for its estimation have been developed. The accuracy of these estimators depends
Leticia Hernando +2 more
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BMC Bioinformatics, 2019 Background The ab initio approaches to protein structure prediction usually employ the Monte Carlo technique to search the structural conformation that has the lowest energy.
Chao Wang +6 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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Fractal mechanism of basin of attraction in passive dynamic walking [PDF]
, 2020 Passive dynamic walking is a model that walks down a shallow slope without any control or input. This model has been widely used to investigate how humans walk with low energy consumption and provides design principles for energy-efficient biped robots ...
Aoi, Shinya +5 more
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Robust non-computability of dynamical systems and computability of robust dynamical systems [PDF]
Logical Methods in Computer ScienceIn this paper, we examine the relationship between the stability of the dynamical system $x^{\prime}=f(x)$ and the computability of its basins of attraction.
Daniel S. Graça, Ning Zhong
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Basins of attraction on random topography [PDF]
Physical Review E, 2001 We investigate the consequences of fluid flowing on a continuous surface upon the geometric and statistical distribution of the flow. We find that the ability of a surface to collect water by its mere geometrical shape is proportional to the curvature of the contour line divided by the local slope.
Schorghofer, N., Rothman, D. H.
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Complexity, 2021 In this paper, chaotic dynamics of a mixed Rayleigh–Liénard oscillator driven by parametric periodic damping and external excitations is investigated analytically and numerically.
Yélomè Judicaël Fernando Kpomahou +3 more
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Multistability in a Circulant Dynamical System
Communications in Advanced Mathematical Sciences, 2023 In this paper we report on a two parameter four-dimensional dynamical system with cyclic symmetry, namely a circulant dynamical system. This system is a twelve-term polynomial system with four cubic nonlinearities.
Paulo Rech
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Perturbed Basins of Attraction [PDF]
Mathematische Annalen, 2006 Let F be an automorphism of C^k which has a fixed point. It is well known that the basin of attraction is biholomorphically equivalent to C^k. We will show that the basin of attraction of a sequence of automorphisms is also biholomorphic to C^k if all the automorphisms are small perturbations of the original map F.
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Basins of attraction in human balance [PDF]
The European Physical Journal Special Topics, 2017 Falls are a recognized risk factor for unintentional injuries among older adults, accounting for a large proportion of fractures, emergency department visits, and urgent hospitalizations. Human balance and gait research traditionally uses linear or qualitative tests to assess and describe human motion; however, human motion is neither a simple nor a ...
Victoria A, Smith +2 more
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