2017
DOI: 10.1016/j.cobeha.2017.06.007
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Hippocampal hierarchical networks for space, time, and memory

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Cited by 29 publications
(32 citation statements)
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“…Similarly to the jargon based on conventional Lyapunov exponents where presence of two and more positive LE is called "hyperchaos", here we can speak of Fig. 7c, the larger one stems from the y-subsystem of the equations (5,6) whereas the smaller one is related to the intrinsic dynamics of the x-subsystem.…”
Section: B Measuring the Instability Ratesmentioning
confidence: 99%
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“…Similarly to the jargon based on conventional Lyapunov exponents where presence of two and more positive LE is called "hyperchaos", here we can speak of Fig. 7c, the larger one stems from the y-subsystem of the equations (5,6) whereas the smaller one is related to the intrinsic dynamics of the x-subsystem.…”
Section: B Measuring the Instability Ratesmentioning
confidence: 99%
“…Denote it by R 3 1 . This plane is invariant for ε = 0 both for the system (7,8) and (5,6). Inside R 3 1 the point O 33 = (σ 1 , 0, δ 3 ) is the saddle equilibrium point for the system (7,8) This trajectory belongs to the three-dimensional invariant plane x 2 = 0, y 1 = y 2 = 0, say R 3 2 .…”
Section: Saddlementioning
confidence: 99%
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“…to get some water) is at a faster, more fine-grained time scale and last only a few seconds. This principled idea to represent behaviour as a hierarchy of sequences has also been proposed as a way how one may understand recent findings in fields such as speech (Hasson et al 2008), memory and the hippocampus (Collin, Milivojevic, and Doeller 2017), and decision making (Hunt and Hayden 2017). Note that the principled idea that goal-directed control is organised as a hierarchy with elements represented at different time scales can be traced back to concepts outlined for example by Miller, Galanter, and Pribram (1960) and pursued in action control theories (Gollwitzer and Bargh 1996;Heckhausen and Kuhl 1985;Kuhl and Goschke 1994).…”
Section: Uncertainty and A Hierarchy Of Time Scalesmentioning
confidence: 99%