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Volumn 306, Issue 1-3, 2003, Pages 353-372

Exponential transients in continuous-time Liapunov systems

Author keywords

Continuous time; Convergence time; Dynamical system; Hopfield network; Liapunov function

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; LYAPUNOV METHODS;

EID: 0041888472     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(03)00310-4     Document Type: Article
Times cited : (9)

References (16)
  • 1
    • 0036222192 scopus 로고    scopus 로고
    • A theory of complexity for continuous time systems
    • Ben-Hur A., Siegelmann H.T., Fishman S. A theory of complexity for continuous time systems. J. Complexity. 18:2002;51-86.
    • (2002) J. Complexity , vol.18 , pp. 51-86
    • Ben-Hur, A.1    Siegelmann, H.T.2    Fishman, S.3
  • 2
    • 0020970741 scopus 로고
    • Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
    • Cohen M.A., Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Systems Man Cybernet. 13:1983;815-826.
    • (1983) IEEE Trans. Systems Man Cybernet. , vol.13 , pp. 815-826
    • Cohen, M.A.1    Grossberg, S.2
  • 4
    • 0003579696 scopus 로고
    • Exponential transient classes of symmetric neural networks for synchronous and sequential updating
    • Goles E., Martínez S. Exponential transient classes of symmetric neural networks for synchronous and sequential updating. Complex Systems. 3:1989;589-597.
    • (1989) Complex Systems , vol.3 , pp. 589-597
    • Goles, E.1    Martínez, S.2
  • 5
    • 0036436502 scopus 로고    scopus 로고
    • A step towards a complexity theory for analog systems
    • Gori M., Meer K. A step towards a complexity theory for analog systems. Math Logic Quart. 48:2002;45-58.
    • (2002) Math Logic Quart. , vol.48 , pp. 45-58
    • Gori, M.1    Meer, K.2
  • 7
    • 0004469897 scopus 로고
    • 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. Nat. Acad. Sci. 81:1984;3088-3092.
    • (1984) Proc. Nat. Acad. Sci. , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 8
    • 0021835689 scopus 로고
    • "Neural" computation of decisions in optimization problems
    • Hopfield J.J., Tank D.W. "Neural" computation of decisions in optimization problems. Biol. Cybernet. 52:1985;141-152.
    • (1985) Biol. Cybernet. , vol.52 , pp. 141-152
    • Hopfield, J.J.1    Tank, D.W.2
  • 9
    • 0003275150 scopus 로고    scopus 로고
    • Finite-dimensional analog computers: Flows, maps, and recurrent neural networks
    • Auckland, January 1998, Springer-Verlag, Berlin
    • C. Moore, Finite-dimensional analog computers: flows, maps, and recurrent neural networks, in: Proc. 1st Internat. Conf. on Unconventional Models of Computation, Auckland, January 1998, Springer-Verlag, Berlin, 1998, pp. 59-71.
    • (1998) Proc. 1st Internat. Conf. on Unconventional Models of Computation , pp. 59-71
    • Moore, C.1
  • 10
    • 0042967086 scopus 로고    scopus 로고
    • Manual electronically
    • Numerical Algorithms Group, Fortran library routine D02PCF, 2002, Manual electronically available via http://www.nag.co.uk/numeric/fl/manual/pdf/D02/d02pcf.pdf .
    • (2002) Fortran Library Routine D02PCF
  • 11
    • 0000416563 scopus 로고    scopus 로고
    • A survey of continuous-time computation theory
    • DuD.-Z.KoK.-I. Dordrecht: Kluwer Academic Publishers
    • Orponen P. A survey of continuous-time computation theory. Du D.-Z., Ko K.-I. Advances in Algorithms, Languages, and Complexity. 1997;209-224 Kluwer Academic Publishers, Dordrecht.
    • (1997) Advances in Algorithms, Languages, and Complexity , pp. 209-224
    • Orponen, P.1
  • 13
    • 0034824484 scopus 로고    scopus 로고
    • Computing with continuous-time Liapunov systems
    • (Crete, July 2001), Association for Computing Machinery, New York, NY
    • J. Šíma, P. Orponen, Computing with continuous-time Liapunov systems, in: Proc. 33rd Ann. ACM Symp. on Theory of Computing, (Crete, July 2001), Association for Computing Machinery, New York, NY, 2001, pp. 722-731.
    • (2001) Proc. 33rd Ann. ACM Symp. on Theory of Computing , pp. 722-731
    • Šíma, J.1    Orponen, P.2
  • 14
    • 23044526186 scopus 로고    scopus 로고
    • Exponential transients in continuous-time symmetric Hopfield nets
    • Proc. 11th Internat. Conf. on Artificial Neural Networks, Vienna, August 2001, Springer-Verlag, Berlin
    • J. Šíma, P. Orponen, Exponential transients in continuous-time symmetric Hopfield nets, in: Proc. 11th Internat. Conf. on Artificial Neural Networks, Vienna, August 2001, Lecture Notes on Computer Science, vol. 2130, Springer-Verlag, Berlin, 2001, pp. 806-813.
    • (2001) Lecture Notes on Computer Science , vol.2130 , pp. 806-813
    • Šíma, J.1    Orponen, P.2
  • 15
    • 0003640275 scopus 로고    scopus 로고
    • On the computational complexity of binary and analog symmetric Hopfield nets
    • Šíma J., Orponen P., Antti-Poika T. On the computational complexity of binary and analog symmetric Hopfield nets. Neural Comput. 12:2000;2965-2989.
    • (2000) Neural Comput. , vol.12 , pp. 2965-2989
    • Šíma, J.1    Orponen, P.2    Antti-Poika, T.3
  • 16
    • 0024122354 scopus 로고
    • A continuous-time optical neural network
    • San Diego, CA, July 1998
    • H.M. Stoll, L.-S. Lee, A continuous-time optical neural network, in: Proc. IEEE Internat. Conf. on Neural Networks, (San Diego, CA, July 1998), Vol. II, 1988, pp. 373-384.
    • (1988) Proc. IEEE Internat. Conf. on Neural Networks , vol.2 , pp. 373-384
    • Stoll, H.M.1    Lee, L.-S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.