Results 11 to 20 of about 5,721 (292)
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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Fixed Points, Symmetries, and Bounds for Basins of Attraction of Complex Trigonometric Functions
International Journal of Mathematics and Mathematical Sciences, 2020 The dynamical systems of trigonometric functions are explored, with a focus on tz=tanz and the fractal image created by iterating the Newton map, Ftz, of tz.
Kasey Bray +3 more
doaj +2 more sources
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
openaire +6 more sources
A Characterization of the Dynamics of Schröder’s Method for Polynomials with Two Roots
Fractal and Fractional, 2021 The purpose of this work is to give a first approach to the dynamical behavior of Schröder’s method, a well-known iterative process for solving nonlinear equations. In this context, we consider equations defined in the complex plane. By using topological
Víctor Galilea, José M. Gutiérrez
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Papers in Physics, 2023 In statistical mechanics, measuring the number of available states and their probabilities, and thus the system’s entropy, enables the prediction of the macroscopic properties of a physical system at equilibrium. This predictive capacity hinges on
Stefano Martiniani, Mathias Casiulis
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BASINS OF ATTRACTION FOR CASCADING MAPS [PDF]
International Journal of Bifurcation and Chaos, 2004 We study a finite uni-directional array of "cascading" or "threshold coupled" chaotic maps. We describe some of the attractors for such systems and prove general results about their basins of attraction. In particular, we show that the basins of attraction have infinitely many path components.
Erik M. Boczko, Todd R. Young
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Partition of networks into basins of attraction [PDF]
Physical Review E, 2008 We study partition of networks into basins of attraction based on a steepest ascent search for the node of highest degree. Each node is associated with, or "attracted" to its neighbor of maximal degree, as long as the degree is increasing. A node that has no neighbors of higher degree is a peak, attracting all the nodes in its basin.
Carmi, Shai +2 more
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The Transition to Chaos of Pendulum Systems
Applied Sciences, 2022 We examine the nonlinear response of two planar pendula under external and kinematic excitations, which are very relevant as paradigmatic models in nonlinear dynamics. These pendula act under the action of an additional constant torque, and are subjected
Grzegorz Litak +2 more
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Multistability of the Vibrating System of a Micro Resonator
Fractal and Fractional, 2022 Multiple attractors and their fractal basins of attraction can lead to the loss of global stability and integrity of Micro Electro Mechanical Systems (MEMS).
Yijun Zhu, Huilin Shang
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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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