Results 21 to 30 of about 167,440,803 (249)

Multiple Solutions of the Tristable Energy Harvester

open access: yesEnergies, 2021
This paper presents the results of numerical simulations of a non-linear, tristable system for harvesting energy from vibrating mechanical devices. Detailed model tests were carried out in relation to the system consisting of a beam and three permanent ...
Grzegorz Litak   +4 more
doaj   +1 more source

Basins of attraction

open access: yes, 1996
Many remarkable properties related to chaos have been found in the dynamics of nonlinear physical systems. These properties are often seen in detailed computer studies, but it is almost always impossible to establish these properties rigorously for ...
Nusse, H.E., Yorke, J.A.
core   +3 more sources

Higher-Order Root-Finding Algorithms and Their Basins of Attraction

open access: yesJournal of Mathematics, 2020
In this paper, we proposed and analyzed three new root-finding algorithms for solving nonlinear equations in one variable. We derive these algorithms with the help of variational iteration technique.
Amir Naseem   +2 more
doaj   +1 more source

Basins of attraction of a one-parameter family of root-finding techniques

open access: yesMoroccan Journal of Pure and Applied Analysis, 2023
Initial conditions can have a substantial impact on the behavior of iterative root-finding techniques for nonlinear equations. By allowing complex starting points and complex roots, it is possible to examine the basins of attraction in the complex plane ...
Basto Mário, Basto Mário Alberto
doaj   +1 more source

Basins of Attraction for Various Steffensen-Type Methods

open access: yesJournal of Applied Mathematics, 2014
The dynamical behavior of different Steffensen-type methods is analyzed. We check the chaotic behaviors alongside the convergence radii (understood as the wideness of the basin of attraction) needed by Steffensen-type methods, that is, derivative-free ...
Alicia Cordero   +3 more
doaj   +1 more source

Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions [PDF]

open access: yes, 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 forced systems with time-varying dissipation [PDF]

open access: yes, 2019
We consider dissipative periodically forced systems and investigate cases in which having information as to how the system behaves for constant dissipation may be used when dissipation varies in time before settling at a constant final value.
Gentile, G   +3 more
core   +2 more sources

INTERTWINED BASINS OF ATTRACTION

open access: yes, 2012
This paper deals with intertwined basins of attraction for dynamical systems in a metric space. After giving a general definition of intertwining property, which is preserved by a topological equivalence between dynamical systems, we present a sufficient
丁昌明, Ding, Changming
core   +1 more source

Classifying basins of attraction using the basin entropy

open access: yes, 2022
A basin of attraction represents the set of initial conditions leading to a specific asymptotic state of a given dynamical system. Here, we provide a classification of the most common basins found in nonlinear dynamics with the help of the basin entropy.
Daza, Alvar   +3 more
core   +1 more source

Molecular Details of RNA Interactions With FUS Condensates Altering Assembly, Dynamics, and Aggregation

open access: yesAngewandte Chemie, EarlyView.
Using NMR and molecular simulations, we map how RNA engages FUS LC‐RGG1 within condensates through electrostatic, π‐stacking, and polar contacts. These multivalent RNA contacts help stabilize RNA within FUS condensates while also reshaping condensate composition and dynamics.
Tongyin Zheng   +6 more
wiley   +2 more sources

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