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Diverse perceptual biases emerge from Hebbian plasticity in a recurrent neural network model.
Schönsberg F +4 more
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Head direction cells use a head-referenced dual-axis updating rule in 3D space
Williams M +3 more
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Nontrivial Global Attractors in 2-D Multistable Attractor Neural Networks
IEEE Transactions on Neural Networks, 2009Attractor dynamics is a crucial problem for attractor neural networks, as it is the underling computational mechanism for memory storage and retrieval in neural systems. This brief studies a class of attractor network consisting of linearized threshold neurons, and analyzes global attractors based on a parameterized 2-D model.
Lan, Zou +3 more
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Global attractors for a tropical climate model
Applications of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Pigong +3 more
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Global attractors in electrohydrodynamics
International Journal of Engineering Science, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonstandard analysis of global attractors
Mathematical Logic Quarterly, 2015Key concepts of the theory of abstract dynamical systems are formulated in the language of nonstandard analysis (NSA). We are then able to provide simple and intuitive proofs of the basic facts. In particular, we use the NSA to give an alternative proof of the characterization of global attractors due to Ball. We also address the issue of connectedness.
Pražák, Dalibor, Slavík, Jakub
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Global attractor for Hirota equation
Applied Mathematics-A Journal of Chinese Universities, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Ruifeng, Guo, Boling
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Global attractors in competitive systems
Nonlinear Analysis: Theory, Methods & Applications, 1991This paper deals with the 2-dimensional discrete dynamical system \[ x_ i'=x_ i\lambda_ i(x_ 1+x_ 2),\quad i=1,2, \] on \({\mathbb{R}}^ 2_+=[0,\infty)\times [0,\infty)\). The per capita growth rates \(\lambda_ i\) are assumed to be continuous maps from \({\mathbb{R}}^ 1_+\) to \({\mathbb{R}}^ 1_+\). The resulting map \(F:\;{\mathbb{R}}^ 2_+\to {\mathbb{
Franke, John E., Yakubu, Abdul-Aziz
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