-
1
-
-
15044365752
-
On the origin of reproducible sequential activity in neural circuits
-
Afraimovich, V.S., Zhigulin, V.P., Rabinovich, M.I.: On the origin of reproducible sequential activity in neural circuits. Chaos 14(4), 1123-1129 (2004)
-
(2004)
Chaos
, vol.14
, Issue.4
, pp. 1123-1129
-
-
Afraimovich, V.S.1
Zhigulin, V.P.2
Rabinovich, M.I.3
-
2
-
-
0017713690
-
Dynamics of pattern formation in lateral-inhibition type neural fields
-
Amari, S.I.: Dynamics of pattern formation in lateral-inhibition type neural fields. Biol. Cybern. 27, 77-87 (1977)
-
(1977)
Biol. Cybern.
, vol.27
, pp. 77-87
-
-
Amari, S.I.1
-
4
-
-
84866288594
-
Geometric representations for minimalist grammars
-
Beim Graben, P., Gerth, S.: Geometric representations for minimalist grammars. J. Log. Lang. Inf. 21(4), 393-432 (2012)
-
(2012)
J. Log. Lang. Inf.
, vol.21
, Issue.4
, pp. 393-432
-
-
Beim Graben, P.1
Gerth, S.2
-
5
-
-
84930707230
-
Attractor and saddle node dynamics in heterogeneous neural fields
-
Beim Graben, P., Hutt, A.: Attractor and saddle node dynamics in heterogeneous neural fields. EPJ Nonlinear Biomed. Phys. 2, 4 (2014). doi:10.1140/epjnbp17
-
(2014)
EPJ Nonlinear Biomed. Phys.
, vol.2
, pp. 4
-
-
Beim Graben, P.1
Hutt, A.2
-
6
-
-
63849262991
-
Inverse problems in dynamic cognitive modeling
-
Beim Graben, P., Potthast, R.: Inverse problems in dynamic cognitive modeling. Chaos 19(1), 015103 (2009)
-
(2009)
Chaos
, vol.19
, Issue.1
, pp. 015103
-
-
Beim Graben, P.1
Potthast, R.2
-
7
-
-
84884686670
-
A dynamic field account to language-related brain potentials
-
Rabinovich, M., Friston, K., Varona, P. (eds.) MIT, Cambridge
-
Beim Graben, P., Potthast, R.: A dynamic field account to language-related brain potentials. In: Rabinovich, M., Friston, K., Varona, P. (eds.) Principles of Brain Dynamics: Global State Interactions, chap. 5, pp. 93-112. MIT, Cambridge (2012)
-
(2012)
Principles of Brain Dynamics: Global State Interactions, Chap. 5
, pp. 93-112
-
-
Beim Graben, P.1
Potthast, R.2
-
8
-
-
84893186599
-
Implementing Turing machines in dynamic field architectures
-
Bishop, M., Erden, Y.J. (eds.)
-
Beim Graben, P., Potthast, R.: Implementing Turing machines in dynamic field architectures. In: Bishop, M., Erden, Y.J. (eds.) Proceedings of AISB12 World Congress 2012 - Alan Turing 2012, vol. 5th AISB Symposium on Computing and Philosophy: Computing, Philosophy and the Question of Bio-Machine Hybrids, Birmingham, pp. 36-40 (2012). http://arxiv.org/abs/1204.5462
-
(2012)
Proceedings of AISB12 World Congress 2012 - Alan Turing 2012 5th AISB Symposium on Computing and Philosophy: Computing, Philosophy and the Question of Bio-Machine Hybrids, Birmingham
, pp. 36-40
-
-
Beim Graben, P.1
Potthast, R.2
-
9
-
-
13844297730
-
Language processing by dynamical systems
-
Beim Graben, P., Jurish, B., Saddy, D., Frisch, S.: Language processing by dynamical systems. Int. J. Bifurc. Chaos 14(2), 599-621 (2004)
-
(2004)
Int. J. Bifurc. Chaos
, vol.14
, Issue.2
, pp. 599-621
-
-
Beim Graben, P.1
Jurish, B.2
Saddy, D.3
Frisch, S.4
-
10
-
-
49249139448
-
Towards dynamical system models of language-related brain potentials
-
Beim Graben, P., Gerth, S., Vasishth, S.: Towards dynamical system models of language-related brain potentials. Cogn. Neurodynamics 2(3), 229-255 (2008)
-
(2008)
Cogn. Neurodynamics
, vol.2
, Issue.3
, pp. 229-255
-
-
Beim Graben, P.1
Gerth, S.2
Vasishth, S.3
-
11
-
-
45449083219
-
Language processing with dynamic fields
-
Beim Graben, P., Pinotsis, D., Saddy, D., Potthast, R.: Language processing with dynamic fields. Cogn. Neurodynamics 2(2), 79-88 (2008)
-
(2008)
Cogn. Neurodynamics
, vol.2
, Issue.2
, pp. 79-88
-
-
Beim Graben, P.1
Pinotsis, D.2
Saddy, D.3
Potthast, R.4
-
12
-
-
84871886626
-
Applied Koopmanism
-
Budišić, M., Mohr, R., Mezić, I.: Applied Koopmanism. Chaos 22(4), 047510 (2012)
-
(2012)
Chaos
, vol.22
, Issue.4
, pp. 047510
-
-
Budišić, M.1
Mohr, R.2
Mezić, I.3
-
13
-
-
5544234625
-
Topological and metric properties of Hénon-type strange attractors
-
Cvitanović, P., Gunaratne, G.H., Procaccia, I.: Topological and metric properties of Hénon-type strange attractors. Phys. Rev. A 38(3), 1503-1520 (1988)
-
(1988)
Phys. Rev. A
, vol.38
, Issue.3
, pp. 1503-1520
-
-
Cvitanović, P.1
Gunaratne, G.H.2
Procaccia, I.3
-
14
-
-
85047672898
-
Dynamic field theory of movement preparation
-
Erlhagen, W., Schöner, G.: Dynamic field theory of movement preparation. Psychol. Rev. 109(3), 545-572 (2002)
-
(2002)
Psychol. Rev.
, vol.109
, Issue.3
, pp. 545-572
-
-
Erlhagen, W.1
Schöner, G.2
-
15
-
-
0030631860
-
A simple neural network exhibiting selective activation of neuronal ensembles: From winner-take-all to winners-share-all
-
Fukai, T., Tanaka, S.: A simple neural network exhibiting selective activation of neuronal ensembles: from winner-take-all to winners-share-all. Neural Comput. 9(1), 77-97 (1997)
-
(1997)
Neural Comput.
, vol.9
, Issue.1
, pp. 77-97
-
-
Fukai, T.1
Tanaka, S.2
-
16
-
-
33644992342
-
Vector symbolic architectures are a viable alternative for Jackendoff's challenges
-
Gayler, R.W.: Vector symbolic architectures are a viable alternative for Jackendoff's challenges. Behav. Brain Sci. 29, 78-79 (2006)
-
(2006)
Behav. Brain Sci.
, vol.29
, pp. 78-79
-
-
Gayler, R.W.1
-
17
-
-
34347193348
-
Über formal unentscheidbare Sätze der principia mathematica und verwandter Systeme I
-
Gödel, K.: Über formal unentscheidbare Sätze der principia mathematica und verwandter Systeme I. Monatshefte für Mathematik und Physik 38, 173-198 (1931)
-
(1931)
Monatshefte für Mathematik und Physik
, vol.38
, pp. 173-198
-
-
Gödel, K.1
-
18
-
-
4243763672
-
Computing with attractors
-
Arbib, M.A. (ed.) MIT, Cambridge
-
Hertz, J.: Computing with attractors. In: Arbib, M.A. (ed.): The Handbook of Brain Theory and Neural Networks, 1st edn, pp. 230-234. MIT, Cambridge (1995)
-
(1995)
The Handbook of Brain Theory and Neural Networks, 1st Edn
, pp. 230-234
-
-
Hertz, J.1
-
21
-
-
0004469897
-
Neurons with graded response have collective computational properties like those of two-state neurons
-
Hopfield, J.J.: Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. USA 81(10), 3088-3092 (1984)
-
(1984)
Proc. Natl. Acad. Sci. USA
, vol.81
, Issue.10
, pp. 3088-3092
-
-
Hopfield, J.J.1
-
22
-
-
0034352134
-
Spatiotemporal pattern formation in neural systems with heterogeneous connection toplogies
-
Jirsa, V.K., Kelso, J.A.S.: Spatiotemporal pattern formation in neural systems with heterogeneous connection toplogies. Phys. Rev. E 62(6), 8462-8465 (2000)
-
(2000)
Phys. Rev. e
, vol.62
, Issue.6
, pp. 8462-8465
-
-
Jirsa, V.K.1
Kelso, J.A.S.2
-
23
-
-
0141938848
-
Estimating good discrete partitions from observed data: Symbolic false nearest neighbors
-
084
-
Kennel, M.B., Buhl, M.: Estimating good discrete partitions from observed data: symbolic false nearest neighbors. Phys. Rev. Lett. 91(8), 084, 102 (2003)
-
(2003)
Phys. Rev. Lett.
, vol.91
, Issue.8
, pp. 102
-
-
Kennel, M.B.1
Buhl, M.2
-
24
-
-
0001046226
-
Hamiltonian systems and transformations in Hilbert space
-
Koopman, B.O.: Hamiltonian systems and transformations in Hilbert space. Proc. Natl. Acad. Sci. USA 17, 315-318 (1931)
-
(1931)
Proc. Natl. Acad. Sci. USA
, vol.17
, pp. 315-318
-
-
Koopman, B.O.1
-
27
-
-
51249194645
-
A logical calculus of ideas immanent in nervous activity
-
McCulloch, W.S., Pitts, W.: A logical calculus of ideas immanent in nervous activity. Bull. Math. Biophys. 5, 115-133 (1943)
-
(1943)
Bull. Math. Biophys.
, vol.5
, pp. 115-133
-
-
McCulloch, W.S.1
Pitts, W.2
-
28
-
-
0001413858
-
The basic theorems of information theory
-
McMillan, B.: The basic theorems of information theory. Ann. Math. Stat. 24, 196-219 (1953)
-
(1953)
Ann. Math. Stat.
, vol.24
, pp. 196-219
-
-
McMillan, B.1
-
29
-
-
0001102743
-
Unpredictability and undecidability in dynamical systems
-
Moore, C.: Unpredictability and undecidability in dynamical systems. Phys. Rev. Lett. 64(20), 2354-2357 (1990)
-
(1990)
Phys. Rev. Lett.
, vol.64
, Issue.20
, pp. 2354-2357
-
-
Moore, C.1
-
30
-
-
30244452047
-
Generalized shifts: Unpredictability and undecidability in dynamical systems
-
Moore, C.: Generalized shifts: unpredictability and undecidability in dynamical systems. Nonlinearity 4, 199-230 (1991)
-
(1991)
Nonlinearity
, vol.4
, pp. 199-230
-
-
Moore, C.1
-
31
-
-
0001822323
-
Dynamical recognizers: Real-time language recognition by analog computers
-
Moore, C.: Dynamical recognizers: real-time language recognition by analog computers. Theor. Comput. Sci. 201, 99-136 (1998)
-
(1998)
Theor. Comput. Sci.
, vol.201
, pp. 99-136
-
-
Moore, C.1
-
32
-
-
0000134862
-
Quantum automata and quantum grammars
-
Moore, C., Crutchfield, J.P.: Quantum automata and quantum grammars. Theor. Comput. Sci. 237, 275-306 (2000)
-
(2000)
Theor. Comput. Sci.
, vol.237
, pp. 275-306
-
-
Moore, C.1
Crutchfield, J.P.2
-
33
-
-
0003582543
-
-
Cambridge University Press, New York
-
Ott, E.: Chaos in Dynamical Systems. Cambridge University Press, New York (1993)
-
(1993)
Chaos in Dynamical Systems
-
-
Ott, E.1
-
34
-
-
51649199666
-
How we know universals: The perception of auditory and visual forms
-
Pitts, W., McCulloch, W.S.: How we know universals: the perception of auditory and visual forms. Bull. Math. Biophys. 9, 127-147 (1947)
-
(1947)
Bull. Math. Biophys.
, vol.9
, pp. 127-147
-
-
Pitts, W.1
McCulloch, W.S.2
-
35
-
-
0029310084
-
Holographic reduced representations
-
Plate, T.A.: Holographic reduced representations. IEEE Trans. Neural Netw. 6(3), 623-641 (1995)
-
(1995)
IEEE Trans. Neural Netw.
, vol.6
, Issue.3
, pp. 623-641
-
-
Plate, T.A.1
-
36
-
-
0001460434
-
The induction of dynamical recognizers
-
Also published in [37], pp. 283-312
-
Pollack, J.B.: The induction of dynamical recognizers. Mach. Learn. 7, 227-252 (1991). Also published in [37], pp. 283-312
-
(1991)
Mach. Learn.
, vol.7
, pp. 227-252
-
-
Pollack, J.B.1
-
38
-
-
70350714925
-
Inverse problems in neural field theory
-
Potthast, R., beim Graben, P.: Inverse problems in neural field theory. SIAM J. Appl. Dyn. Syst. 8(4), 1405-1433 (2009)
-
(2009)
SIAM J. Appl. Dyn. Syst.
, vol.8
, Issue.4
, pp. 1405-1433
-
-
Potthast, R.1
Beim Graben, P.2
-
39
-
-
44349183017
-
Transient cognitive dynamics, metastability, and decision making
-
e1000
-
Rabinovich, M.I., Huerta, R., Varona, P., Afraimovich, V.S.: Transient cognitive dynamics, metastability, and decision making. PLoS Comput. Biol. 4(5), e1000, 072 (2008)
-
(2008)
PLoS Comput. Biol.
, vol.4
, Issue.5
, pp. 072
-
-
Rabinovich, M.I.1
Huerta, R.2
Varona, P.3
Afraimovich, V.S.4
-
41
-
-
78149496236
-
An embodied account of serial order: How instabilities drive sequence generation
-
Sandamirskaya, Y., Schöner, G.: An embodied account of serial order: how instabilities drive sequence generation. Neural Netw. 23(10), 1164-1179 (2010)
-
(2010)
Neural Netw.
, vol.23
, Issue.10
, pp. 1164-1179
-
-
Sandamirskaya, Y.1
Schöner, G.2
-
42
-
-
33845668158
-
Neural systems and behavior: Dynamical systems approaches
-
Smelser, N.J., Baltes, P.B. (eds.) Pergamon, Oxford
-
Schöner, G.: Neural systems and behavior: dynamical systems approaches. In: Smelser, N.J., Baltes, P.B. (eds.) International Encyclopedia of the Social & Behavioral Sciences, pp. 10571- 10575. Pergamon, Oxford (2002)
-
(2002)
International Encyclopedia of the Social & Behavioral Sciences
, pp. 10571-10575
-
-
Schöner, G.1
-
43
-
-
0029255891
-
On the computational power of neural nets
-
Siegelmann, H.T., Sontag, E.D.: On the computational power of neural nets. J. Comput. Syst. Sci. 50(1), 132-150 (1995)
-
(1995)
J. Comput. Syst. Sci.
, vol.50
, Issue.1
, pp. 132-150
-
-
Siegelmann, H.T.1
Sontag, E.D.2
-
44
-
-
0025516779
-
Tensor product variable binding and the representation of symbolic structures in connectionist systems
-
Smolensky, P.: Tensor product variable binding and the representation of symbolic structures in connectionist systems. Artif. Intell. 46(1-2), 159-216 (1990)
-
(1990)
Artif. Intell.
, vol.46
, Issue.1-2
, pp. 159-216
-
-
Smolensky, P.1
-
45
-
-
33845218471
-
Harmony in linguistic cognition
-
Smolensky, P.: Harmony in linguistic cognition. Cogn. Sci. 30, 779-801 (2006)
-
(2006)
Cogn. Sci.
, vol.30
, pp. 779-801
-
-
Smolensky, P.1
-
46
-
-
84875686406
-
Automata and neural networks
-
Arbib, M.A. (ed.) MIT, Cambridge
-
Sontag, E.D.: Automata and neural networks. In: Arbib, M.A. (ed.): The Handbook of Brain Theory and Neural Networks, 1st edn, pp. 119-123. MIT, Cambridge (1995)
-
(1995)
The Handbook of Brain Theory and Neural Networks, 1st Edn
, pp. 119-123
-
-
Sontag, E.D.1
-
47
-
-
85192413926
-
-
AISB 2013, Exeter
-
Spencer, M.C., Tanay, T., Roesch, E.B., Bishop, J.M., Nasuto, S.J.: Abstract platforms of computation. AISB 2013, Exeter (2013)
-
(2013)
Abstract Platforms of Computation
-
-
Spencer, M.C.1
Tanay, T.2
Roesch, E.B.3
Bishop, J.M.4
Nasuto, S.J.5
-
48
-
-
0033743045
-
Fractal encoding of context-free grammars in connectionist networks
-
Tabor, W.: Fractal encoding of context-free grammars in connectionist networks. Expert Syst.: Int. J. Knowl. Eng. Neural Netw. 17(1), 41-56 (2000)
-
(2000)
Expert Syst.: Int. J. Knowl. Eng. Neural Netw.
, vol.17
, Issue.1
, pp. 41-56
-
-
Tabor, W.1
-
49
-
-
84880331465
-
Fractal analyis illuminates the form of connectionist structural gradualness
-
Tabor, W., Cho, P.W., Szkudlarek, E.: Fractal analyis illuminates the form of connectionist structural gradualness. Top. Cogn. Sci. 5, 634-667 (2013)
-
(2013)
Top. Cogn. Sci.
, vol.5
, pp. 634-667
-
-
Tabor, W.1
Cho, P.W.2
Szkudlarek, E.3
-
50
-
-
0016985840
-
The denotational semantics of programming languages
-
Tennent, R.D.: The denotational semantics of programming languages. Commun. ACM 19(8), 437-453 (1976)
-
(1976)
Commun. ACM
, vol.19
, Issue.8
, pp. 437-453
-
-
Tennent, R.D.1
-
51
-
-
84960561455
-
On computable numbers, with an application to the Entscheidungsproblem
-
Turing, A.M.: On computable numbers, with an application to the Entscheidungsproblem. Proc. Lond. Math. Soc. 2(42), 230-265 (1937)
-
(1937)
Proc. Lond. Math. Soc.
, vol.2
, Issue.42
, pp. 230-265
-
-
Turing, A.M.1
|