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000910246 005__ 20240313103122.0
000910246 0247_ $$2doi$$a10.48550/ARXIV.2210.07877
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000910246 037__ $$aFZJ-2022-03707
000910246 1001_ $$0P:(DE-Juel1)188215$$aStubenrauch, Jakob$$b0$$eCorresponding author$$ufzj
000910246 245__ $$aPhase Space Analysis of Chaotic Neural Networks
000910246 260__ $$barXiv$$c2022
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000910246 520__ $$aWe analytically determine the distribution of fixed points in a canonical model of a chaotic neural network. This distribution reveals that fixed points and dynamics are confined to separate shells in phase space. Furthermore, the distribution enables us to determine the eigenvalue spectra of the Jacobian at the fixed points. Perhaps counter-intuitively, the velocity of the dynamics is strongly correlated with the direction imposed by the nearest fixed point despite the spatial separation. We propose that this influence of the fixed points is mediated by tangentially fixed lines.
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000910246 536__ $$0G:(EU-Grant)945539$$aHBP SGA3 - Human Brain Project Specific Grant Agreement 3 (945539)$$c945539$$fH2020-SGA-FETFLAG-HBP-2019$$x1
000910246 536__ $$0G:(GEPRIS)368482240$$aGRK 2416:  MultiSenses-MultiScales: Novel approaches to decipher neural processing in multisensory integration (368482240)$$c368482240$$x2
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000910246 536__ $$0G:(DE-Juel1)PHD-NO-GRANT-20170405$$aPhD no Grant - Doktorand ohne besondere Förderung (PHD-NO-GRANT-20170405)$$cPHD-NO-GRANT-20170405$$x6
000910246 536__ $$0G:(DE-Juel1)HGF-SMHB-2014-2018$$aMSNN - Theory of multi-scale neuronal networks (HGF-SMHB-2014-2018)$$cHGF-SMHB-2014-2018$$fMSNN$$x7
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000910246 650_7 $$2Other$$aDisordered Systems and Neural Networks (cond-mat.dis-nn)
000910246 650_7 $$2Other$$aChaotic Dynamics (nlin.CD)
000910246 650_7 $$2Other$$aFOS: Physical sciences
000910246 7001_ $$0P:(DE-Juel1)171384$$aKeup, Christian$$b1$$ufzj
000910246 7001_ $$0P:(DE-Juel1)176776$$aKurth, Anno C.$$b2$$ufzj
000910246 7001_ $$0P:(DE-Juel1)144806$$aHelias, Moritz$$b3$$ufzj
000910246 7001_ $$0P:(DE-Juel1)173607$$avan Meegen, Alexander$$b4$$ufzj
000910246 773__ $$a10.48550/ARXIV.2210.07877
000910246 8564_ $$uhttps://doi.org/10.48550/arXiv.2210.07877
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000910246 9141_ $$y2022
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000910246 9201_ $$0I:(DE-Juel1)INM-6-20090406$$kINM-6$$lComputational and Systems Neuroscience$$x0
000910246 9201_ $$0I:(DE-Juel1)IAS-6-20130828$$kIAS-6$$lTheoretical Neuroscience$$x1
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