-
2
-
-
0029637353
-
Universal computation and other capabilities of hybrid and continuous dynamical systems
-
Branicky M.S. Universal computation and other capabilities of hybrid and continuous dynamical systems. Theoret. Comput. Sci. 138 1 (1995) 67-100
-
(1995)
Theoret. Comput. Sci.
, vol.138
, Issue.1
, pp. 67-100
-
-
Branicky, M.S.1
-
3
-
-
84958742393
-
The complexity of real recursive functions
-
Unconventional Models of Computation (UMC'02). Calude C.S., Dinneen M.J., and Peper F. (Eds), Springer
-
Campagnolo M.L. The complexity of real recursive functions. In: Calude C.S., Dinneen M.J., and Peper F. (Eds). Unconventional Models of Computation (UMC'02). Lecture Notes Comput. Sci. vol. 2509 (2002), Springer 1-14
-
(2002)
Lecture Notes Comput. Sci.
, vol.2509
, pp. 1-14
-
-
Campagnolo, M.L.1
-
4
-
-
85069091996
-
-
M.L. Campagnolo, Computational complexity of real valued recursive functions and analog circuits, PhD thesis, Instituto Superior Técnico/Universidade Técnica de Lisboa, 2002
-
M.L. Campagnolo, Computational complexity of real valued recursive functions and analog circuits, PhD thesis, Instituto Superior Técnico/Universidade Técnica de Lisboa, 2002
-
-
-
-
5
-
-
0011287661
-
Iteration, inequalities, and differentiability in analog computers
-
Campagnolo M.L., Moore C., and Costa J.F. Iteration, inequalities, and differentiability in analog computers. J. Complexity 16 4 (2000) 642-660
-
(2000)
J. Complexity
, vol.16
, Issue.4
, pp. 642-660
-
-
Campagnolo, M.L.1
Moore, C.2
Costa, J.F.3
-
6
-
-
0036889222
-
An analog characterization of the Grzegorczyk hierarchy
-
Campagnolo M.L., Moore C., and Costa J.F. An analog characterization of the Grzegorczyk hierarchy. J. Complexity 18 4 (2002) 977-1000
-
(2002)
J. Complexity
, vol.18
, Issue.4
, pp. 977-1000
-
-
Campagnolo, M.L.1
Moore, C.2
Costa, J.F.3
-
7
-
-
0030586641
-
The dynamics of discrete-time computation, with application to recurrent neural networks and finite state machine extraction
-
Casey M. The dynamics of discrete-time computation, with application to recurrent neural networks and finite state machine extraction. Neural Comput. 8 (1996) 1135-1178
-
(1996)
Neural Comput.
, vol.8
, pp. 1135-1178
-
-
Casey, M.1
-
8
-
-
0012959541
-
Correction to proof that recurrent neural networks can robustly recognize only regular languages
-
Casey M. Correction to proof that recurrent neural networks can robustly recognize only regular languages. Neural Comput. 10 (1998) 1067-1069
-
(1998)
Neural Comput.
, vol.10
, pp. 1067-1069
-
-
Casey, M.1
-
10
-
-
0141615048
-
Analog computers and recursive functions over the reals
-
Graça D.S., and Costa J.F. Analog computers and recursive functions over the reals. J. Complexity 19 5 (2003) 644-664
-
(2003)
J. Complexity
, vol.19
, Issue.5
, pp. 644-664
-
-
Graça, D.S.1
Costa, J.F.2
-
11
-
-
26444476497
-
Robust simulations of Turing machines with analytic maps and flows
-
CiE 2005: New Computational Paradigms. Cooper S.B., Löwe B., and Torenvliet L. (Eds), Springer
-
Graça D.S., Campagnolo M.L., and Buescu J. Robust simulations of Turing machines with analytic maps and flows. In: Cooper S.B., Löwe B., and Torenvliet L. (Eds). CiE 2005: New Computational Paradigms. Lecture Notes Comput. Sci. vol. 3526 (2005), Springer 169-179
-
(2005)
Lecture Notes Comput. Sci.
, vol.3526
, pp. 169-179
-
-
Graça, D.S.1
Campagnolo, M.L.2
Buescu, J.3
-
12
-
-
85069103373
-
-
D. Graça, N. Zhong, J. Buescu, Computability, noncomputability and undecidability of maximal intervals of IVPs, Trans. Amer. Math. Soc., in press
-
D. Graça, N. Zhong, J. Buescu, Computability, noncomputability and undecidability of maximal intervals of IVPs, Trans. Amer. Math. Soc., in press
-
-
-
-
16
-
-
0030284189
-
A family of universal recurrent networks
-
Koiran P. A family of universal recurrent networks. Theoret. Comput. Sci. 168 2 (1996) 473-480
-
(1996)
Theoret. Comput. Sci.
, vol.168
, Issue.2
, pp. 473-480
-
-
Koiran, P.1
-
17
-
-
0008854035
-
Closed-form analytic maps in one and two dimensions can simulate universal Turing machines
-
Koiran P., and Moore C. Closed-form analytic maps in one and two dimensions can simulate universal Turing machines. Theoret. Comput. Sci. 210 1 (1999) 217-223
-
(1999)
Theoret. Comput. Sci.
, vol.210
, Issue.1
, pp. 217-223
-
-
Koiran, P.1
Moore, C.2
-
18
-
-
0028496407
-
Computability with low-dimensional dynamical systems
-
Koiran P., Cosnard M., and Garzon M. Computability with low-dimensional dynamical systems. Theoret. Comput. Sci. 132 (1994) 113-128
-
(1994)
Theoret. Comput. Sci.
, vol.132
, pp. 113-128
-
-
Koiran, P.1
Cosnard, M.2
Garzon, M.3
-
20
-
-
0001243798
-
On the effect of analog noise in discrete-time analog computations
-
Maass W., and Orponen P. On the effect of analog noise in discrete-time analog computations. Neural Comput. 10 5 (1998) 1071-1095
-
(1998)
Neural Comput.
, vol.10
, Issue.5
, pp. 1071-1095
-
-
Maass, W.1
Orponen, P.2
-
21
-
-
0001102743
-
Unpredictability and undecidability in dynamical systems
-
Moore C. Unpredictability and undecidability in dynamical systems. Phys. Rev. Lett. 64 20 (1990) 2354-2357
-
(1990)
Phys. Rev. Lett.
, vol.64
, Issue.20
, pp. 2354-2357
-
-
Moore, C.1
-
22
-
-
0003275150
-
Finite-dimensional analog computers: Flows, maps, and recurrent neural networks
-
Calude C., Casti J., and Dinneen M. (Eds), Springer
-
Moore C. Finite-dimensional analog computers: Flows, maps, and recurrent neural networks. In: Calude C., Casti J., and Dinneen M. (Eds). 1st International Conference on Unconventional Models of Computation-UMC'98 (1998), Springer 59-71
-
(1998)
1st International Conference on Unconventional Models of Computation-UMC'98
, pp. 59-71
-
-
Moore, C.1
-
23
-
-
10244239347
-
Real recursive functions and their hierarchy
-
Mycka J., and Costa J.F. Real recursive functions and their hierarchy. J. Complexity 20 6 (2004) 835-857
-
(2004)
J. Complexity
, vol.20
, Issue.6
, pp. 835-857
-
-
Mycka, J.1
Costa, J.F.2
-
24
-
-
84967792518
-
Abstract computability and its relations to the general purpose analog computer
-
Pour-El M.B. Abstract computability and its relations to the general purpose analog computer. Trans. Amer. Math. Soc. 199 (1974) 1-28
-
(1974)
Trans. Amer. Math. Soc.
, vol.199
, pp. 1-28
-
-
Pour-El, M.B.1
-
25
-
-
0001106777
-
The wave equation with computable initial data such that its unique solution is not computable
-
Pour-El M.B., and Richards J.I. The wave equation with computable initial data such that its unique solution is not computable. Adv. Math. 39 (1981) 215-239
-
(1981)
Adv. Math.
, vol.39
, pp. 215-239
-
-
Pour-El, M.B.1
Richards, J.I.2
-
26
-
-
0031285811
-
The wave equation with computable initial data whose unique solution is nowhere computable
-
Pour-El M.B., and Zhong N. The wave equation with computable initial data whose unique solution is nowhere computable. MLQ Math. Log. Q. 43 (1997) 499-509
-
(1997)
MLQ Math. Log. Q.
, vol.43
, pp. 499-509
-
-
Pour-El, M.B.1
Zhong, N.2
-
28
-
-
0011664036
-
Integration in finite terms
-
Rosenlicht M. Integration in finite terms. Amer. Math. Monthly 79 9 (1972) 963-972
-
(1972)
Amer. Math. Monthly
, vol.79
, Issue.9
, pp. 963-972
-
-
Rosenlicht, M.1
-
29
-
-
84968493694
-
A differentially algebraic elimination theorem with application to analog computability in the calculus of variations
-
Rubel L.A., and Singer F. A differentially algebraic elimination theorem with application to analog computability in the calculus of variations. Proc. Amer. Math. Soc. 94 4 (1985) 653-658
-
(1985)
Proc. Amer. Math. Soc.
, vol.94
, Issue.4
, pp. 653-658
-
-
Rubel, L.A.1
Singer, F.2
-
30
-
-
85163157556
-
Mathematical theory of the differential analyzer
-
Shannon C.E. Mathematical theory of the differential analyzer. J. Math. Phys. MIT 20 (1941) 337-354
-
(1941)
J. Math. Phys. MIT
, vol.20
, pp. 337-354
-
-
Shannon, C.E.1
-
32
-
-
0029255891
-
On the computational power of neural networks
-
Siegelmann H.T., and Sontag E.D. On the computational power of neural networks. J. Comput. System Sci. 50 1 (1995) 132-150
-
(1995)
J. Comput. System Sci.
, vol.50
, Issue.1
, pp. 132-150
-
-
Siegelmann, H.T.1
Sontag, E.D.2
-
33
-
-
0038213473
-
Dynamical systems: Moving into the next century
-
Engquist B., and Schmid W. (Eds), Springer
-
Viana M. Dynamical systems: Moving into the next century. In: Engquist B., and Schmid W. (Eds). Mathematics Unlimited-2001 and Beyond (2001), Springer 1167-1178
-
(2001)
Mathematics Unlimited-2001 and Beyond
, pp. 1167-1178
-
-
Viana, M.1
-
34
-
-
0036727286
-
Is wave propagation computable or can wave computers beat the Turing machine?
-
Weihrauch K., and Zhong N. Is wave propagation computable or can wave computers beat the Turing machine?. Proc. London Math. Soc. 85 3 (2002) 312-332
-
(2002)
Proc. London Math. Soc.
, vol.85
, Issue.3
, pp. 312-332
-
-
Weihrauch, K.1
Zhong, N.2
|