Results 21 to 30 of about 3,221,975 (292)
Dynamics and Computation of Continuous Attractors
Neural Computation, 2008 Continuous attractor is a promising model for describing the encoding of continuous stimuli in neural systems. In a continuous attractor, the stationary states of the neural system form a continuous parameter space, on which the system is neutrally stable.
Si Wu 0001 +2 more
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Network representations of attractors for change point detection
Communications Physics, 2023 A common approach to monitoring the status of physical and biological systems is through the regular measurement of various system parameters. Changes in a system’s underlying dynamics manifest as changes in the behaviour of the observed time series. For
Eugene Tan +4 more
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On the global attractor of delay differential equations with unimodal feedback [PDF]
, 2009 We give bounds for the global attractor of the delay differential equation x(over dot) (t) = -mu x(t) + f(x(t - tau)), where f is unimodal and has negative Schwarzian derivative.
Liz, Eduardo +3 more
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Intrinsic theta oscillation in the attractor network of grid cells
iScience, 2023 Summary: Both grid-like firing fields and theta oscillation are hallmarks of grid cells in the mammalian brain. While bump attractor dynamics have generally been recognized as the substrate for grid firing fields, how theta oscillation arises and ...
Ziqun Wang +4 more
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FINDING ATTRACTORS IN ASYNCHRONOUS BOOLEAN DYNAMICS [PDF]
Advances in Complex Systems, 2011 We present a computational method for finding attractors (ergodic sets of states) of Boolean networks under asynchronous update. The approach is based on a systematic removal of state transitions to render the state transition graph acyclic. In this reduced state transition graph, all attractors are fixed points that can be enumerated with little ...
THOMAS SKODAWESSELY, KONSTANTIN KLEMM
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Noise-driven stem cell and progenitor population dynamics. [PDF]
PLoS ONE, 2008 The balance between maintenance of the stem cell state and terminal differentiation is influenced by the cellular environment. The switching between these states has long been understood as a transition between attractor states of a molecular network ...
Martin Hoffmann +5 more
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Boundary crisis bifurcation in two parameters [PDF]
, 2006 The boundary crisis bifurcation is well known as a mechanism for destroying (or creating) a strange attractor by variation of one parameter: at the moment of the boundary crisis bifurcation the strange attractor touches its own basin of attraction.
Osinga, HM, Osinga, Hinke M
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Task-dependent recurrent dynamics in visual cortex
eLife, 2017 The capacity for flexible sensory-action association in animals has been related to context-dependent attractor dynamics outside the sensory cortices. Here, we report a line of evidence that flexibly modulated attractor dynamics during task switching are
Satohiro Tajima +5 more
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Computing with dynamic attractors in neural networks [PDF]
Biosystems, 1995 In this paper we report on some new architectures for neural computation, motivated in part by biological considerations. One of our goals is to demonstrate that it is just as easy for a neural net to compute with arbitrary attractors--oscillatory or chaotic--as with the more usual asymptotically stable fixed points.
Hirsch, MW, Baird, B
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An attractor dynamics in a non-Hermitian two-level system [PDF]
, 2021 Exceptional points in non-Hermitian systems possess fascinating properties. We present an exactly solvable attractor dynamics for the first time from the two-level time-dependent non-Hermitian Hamiltonian.
Wang, P, Jin, L, Li, C, Song, Z
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