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Volumn 114, Issue 2, 2000, Pages 387-404

Applications of some mathematical methods in the analysis of cellular neural networks

Author keywords

34A47; 34C35; 34D20; 34K05; Bifurcations; Chaos; CNNs; Lyapunov function; PDE; Topological degree

Indexed keywords

APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); LYAPUNOV METHODS; PARTIAL DIFFERENTIAL EQUATIONS; TOPOLOGY;

EID: 0033887522     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00277-0     Document Type: Article
Times cited : (17)

References (32)
  • 2
    • 0017418017 scopus 로고    scopus 로고
    • On the application of degree theory to the analysis of resistive nonlinear networks
    • Chua L.O., Wang N. On the application of degree theory to the analysis of resistive nonlinear networks. Int. J. Circuit Theory Appl. 5:1997;35-68.
    • (1997) Int. J. Circuit Theory Appl. , vol.5 , pp. 35-68
    • Chua, L.O.1    Wang, N.2
  • 5
    • 0024092072 scopus 로고
    • Cellular neural networks: Applications
    • Chua L.O., Yang L. Cellular neural networks: applications. IEEE Trans. Circuit Systems. 35:1988;1272-1290.
    • (1988) IEEE Trans. Circuit Systems , vol.35 , pp. 1272-1290
    • Chua, L.O.1    Yang, L.2
  • 6
    • 0027569219 scopus 로고
    • On stability of cellular neural networks with delay
    • Civalleri P.P., Gilli M., Pandolfi L. On stability of cellular neural networks with delay. IEEE Trans. CAS. 40:1993;270-272.
    • (1993) IEEE Trans. CAS , vol.40 , pp. 270-272
    • Civalleri, P.P.1    Gilli, M.2    Pandolfi, L.3
  • 7
    • 0026883588 scopus 로고
    • A condition for global convergence of a class of symmetric neural circuits
    • Forti M., Manetti S., Marini M. A condition for global convergence of a class of symmetric neural circuits. IEEE Trans. CAS-I. 39(6):1992;480-483.
    • (1992) IEEE Trans. CAS-I , vol.39 , Issue.6 , pp. 480-483
    • Forti, M.1    Manetti, S.2    Marini, M.3
  • 9
    • 0028484639 scopus 로고
    • Stability of CNN and delayed CNN with nonpositive templates and nonmonotonic output function
    • Gilli M. Stability of CNN and delayed CNN with nonpositive templates and nonmonotonic output function. IEEE Trans. CAS-I. 41(8):1994;518-528.
    • (1994) IEEE Trans. CAS-I , vol.41 , Issue.8 , pp. 518-528
    • Gilli, M.1
  • 10
    • 0027701875 scopus 로고
    • Strange attractors in delayed CNN
    • Gilli M. Strange attractors in delayed CNN. IEEE Trans. CAS-I. 40(11):1993;849-853.
    • (1993) IEEE Trans. CAS-I , vol.40 , Issue.11 , pp. 849-853
    • Gilli, M.1
  • 11
    • 0028413190 scopus 로고
    • (Almost) half of any circuit's operating points are unstable
    • M. Green, A. Wilson, (Almost) half of any circuit's operating points are unstable, IEEE Trans. CAS-I 41 (4) (1994).
    • (1994) IEEE Trans. CAS-I , vol.41 , Issue.4
    • Green, M.1    Wilson, A.2
  • 13
    • 0024909476 scopus 로고
    • Convergent activation dynamics in continuous time networks
    • Hirsch M. Convergent activation dynamics in continuous time networks. Neural Networks. 2:1989;331-349.
    • (1989) Neural Networks , vol.2 , pp. 331-349
    • Hirsch, M.1
  • 14
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-state neurons
    • USA
    • J.J. Hopfield, Neurons with graded response have collective computational properties like those of two-state neurons, Proceedings of the National Academy of Sciences, USA, Vol. 81, 1984, pp. 3088-3092.
    • (1984) Proceedings of the National Academy of Sciences , vol.81 , pp. 3088-3092
    • Hopfield, J.J.1
  • 22
    • 0027582973 scopus 로고
    • Stability of CNN with dominant nonlinear and delay-type templates
    • Roska T., Chai W., Chua L. Stability of CNN with dominant nonlinear and delay-type templates. IEEE Trans. CAS-I. 40(4):1993;270-272.
    • (1993) IEEE Trans. CAS-I , vol.40 , Issue.4 , pp. 270-272
    • Roska, T.1    Chai, W.2    Chua, L.3
  • 23
    • 0026913847 scopus 로고
    • Cellular neural networks with nonlinear and delay type template elements
    • Roska T., Chua L.O. Cellular neural networks with nonlinear and delay type template elements. Int. J. Circuit Theory Appl. 20:1992;469-481.
    • (1992) Int. J. Circuit Theory Appl. , vol.20 , pp. 469-481
    • Roska, T.1    Chua, L.O.2
  • 24
    • 0040570574 scopus 로고
    • Simulating nonlinear waves and PDEs via CNN - Part I: Basic techniques, Part II: Typical examples
    • Roska T., Chua L., Wolf D., Kozek T., Tetzlaff R., Puffer F. Simulating nonlinear waves and PDEs via CNN - Part I: basic techniques, Part II: typical examples. IEEE Trans. Circuit Systems - I. 42(10):1995;809-820.
    • (1995) IEEE Trans. Circuit Systems - I , vol.42 , Issue.10 , pp. 809-820
    • Roska, T.1    Chua, L.2    Wolf, D.3    Kozek, T.4    Tetzlaff, R.5    Puffer, F.6
  • 25
    • 0041164720 scopus 로고
    • Cellular neural networks with nonlinear dynamics
    • Slavova A. Cellular neural networks with nonlinear dynamics. J. Neural Parallel Sci. Comput. 3(3):1995;369-378.
    • (1995) J. Neural Parallel Sci. Comput. , vol.3 , Issue.3 , pp. 369-378
    • Slavova, A.1
  • 26
    • 0030379559 scopus 로고    scopus 로고
    • Stability analysis of CNN with hysteresis nonlinearity in the feedback system
    • Sevilla, Spain
    • A. Slavova, Stability analysis of CNN with hysteresis nonlinearity in the feedback system, Proceedings CNNA96, Sevilla, Spain, 1996, pp. 175-180.
    • (1996) Proceedings CNNA96 , pp. 175-180
    • Slavova, A.1
  • 27
    • 0032070376 scopus 로고    scopus 로고
    • Dynamic properties of Cellular Neural Networks with nonlinear output function
    • A. Slavova, Dynamic properties of Cellular Neural Networks with nonlinear output function, IEEE Trans. CAS-I 45 (5) (1998).
    • (1998) IEEE Trans. CAS-I , vol.45 , Issue.5
    • Slavova, A.1
  • 28
    • 85037760719 scopus 로고    scopus 로고
    • Topological degree approach for studying nonlinear Cellular Neural Networks
    • to appear
    • A. Slavova, Topological degree approach for studying nonlinear Cellular Neural Networks, Neural Sci. Parallel Comput. 1998, to appear.
    • (1998) Neural Sci. Parallel Comput.
    • Slavova, A.1
  • 30
    • 0040570576 scopus 로고
    • Special issue on Chaos
    • Special issue on Chaos, IEEE Trans. CAS-I 42 (1995).
    • (1995) IEEE Trans. CAS-I , vol.42
  • 31
    • 0027568004 scopus 로고
    • Bifurcation and chaos in CNN
    • Zou F., Nossek J. Bifurcation and chaos in CNN. IEEE Trans. CAS-I. 40(5):1993;166-171.
    • (1993) IEEE Trans. CAS-I , vol.40 , Issue.5 , pp. 166-171
    • Zou, F.1    Nossek, J.2
  • 32
    • 0026188227 scopus 로고
    • A chaotic attractor with CNN
    • Zou F., Nossek J. A chaotic attractor with CNN. IEEE Trans. CAS-I. 38:1991;811-812.
    • (1991) IEEE Trans. CAS-I , vol.38 , pp. 811-812
    • Zou, F.1    Nossek, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.