منابع مشابه
The Attractor Mechanism in Five Dimensions
We give a pedagogical introduction to the attractor mechanism. We begin by developing the formalism for the simplest example of spherically symmetric black holes in five dimensions which preserve supersymmetry. We then discuss the refinements needed when spherical symmetry is relaxed. This is motivated by rotating black holes and, especially, black rings. An introduction to nonBPS attractors is...
متن کاملGeneralized dimensions of Feigenbaum’s attractor from renormalization-group functional equations
A method is suggested for the computation of the generalized dimensions of fractal attractors at the period-doubling transition to chaos. The approach is based on an eigenvalue problem formulated in terms of functional equations, with a coefficient expressed in terms of Feigenbaum’s universal fixed-point function. The accuracy of the results is determined only by precision of the representation...
متن کاملNumerical estimates of the generalized dimensions of the Hénon attractor for negative q
The usual fixed-size box-counting algorithms are inefficient for computing generalized fractal dimensions in the range of q < 0. In this letter we describe a new numerical algorithm specifically devised to estimate generalized dimensions for large negative q, providing evidence of its better performance. We compute the complete spectrum of the Hénon attractor, and interpret our results in terms...
متن کاملAttractor networks.
An attractor network is a network of neurons with excitatory interconnections that can settle into a stable pattern of firing. This article shows how attractor networks in the cerebral cortex are important for long-term memory, short-term memory, attention, and decision making. The article then shows how the random firing of neurons can influence the stability of these networks by introducing s...
متن کاملAttractor Networks
Artificial neural networks (ANNs), sometimes referred to as connectionist networks, are computational models based loosely on the neural architecture of the brain. Over the past twenty years, ANNs have proven to be a fruitful framework for modeling many aspects of cognition, including perception, attention, learning and memory, language, and executive control. A particular type of ANN, called a...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2008
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.2110