Results 11 to 20 of about 167,470,850 (246)
Energy-optimal steering of transitions through a fractal basin boundary. [PDF]
, 2004 We study fluctuational transitions in a discrete dy- namical system having two co-existing attractors in phase space, separated by a fractal basin boundary. It is shown that transitions occur via a unique ac- cessible point on the boundary.
Luchinsky, D. G. +3 more
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Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions [PDF]
, 2010 summary:In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions $V_n$ in a rational functional ...
Hangos, Katalin M. +3 more
core +2 more sources
Basins of attraction in nonsmooth models of gear rattle [PDF]
, 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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Basin of Attraction in Bird Passive Balance
International audienceThe bird model presented in [1] shows that a passive tensegrity system can explain the postural equilibrium of birds. The goal now is to understand the basin of attraction of this system.
Colotti, Alessandro +4 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
doaj +1 more source
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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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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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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