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Dynamic Landscape Analysis of Cell Fate Decisions: Predictive Models of Neural Development From Single-Cell Data

Fontaine M, Delas MJ, Saez M, Maizels RJ, Finnie E, Briscoe J, Rand DA.   +6 more
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A mechanistic theory of planning in prefrontal cortex

Jensen KT, Doohan P, Sablé-Meyer M, Reinert S, Baram A, Akam T, Behrens TEJ.   +6 more
europepmc   +1 more source

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Nontrivial Global Attractors in 2-D Multistable Attractor Neural Networks

IEEE Transactions on Neural Networks, 2009
Attractor 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, Huajin, Tang, Kay Chen, Tan, Weinian, Zhang   +3 more
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Global attractors for a tropical climate model

Applications of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Pigong, Lei, Keke, Liu, Chenggang, Wang, Xuewen   +3 more
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Global attractors in electrohydrodynamics

International Journal of Engineering Science, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonstandard analysis of global attractors

Mathematical Logic Quarterly, 2015
Key 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, 2008
zbMATH 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, 1991
This 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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