메뉴 건너뛰기




Volumn 38, Issue 5, 2013, Pages 1269-1280

Multiperiodicity and Attractivity Analysis for Discrete-Time Second Order Delayed Recurrent Neural Networks

Author keywords

Attractivity; Discrete time; Multiperiodicity; Periodic orbit; Second order recurrent neural network

Indexed keywords


EID: 84876444672     PISSN: 2193567X     EISSN: 21914281     Source Type: Journal    
DOI: 10.1007/s13369-013-0603-4     Document Type: Article
Times cited : (9)

References (34)
  • 1
    • 0025632457 scopus 로고
    • Stability of a class of nonreciprocal cellular neural networks
    • Chua L. O., Roska T.: Stability of a class of nonreciprocal cellular neural networks. IEEE Trans. Circuits. Syst 37, 1520-1527 (1990).
    • (1990) IEEE Trans. Circuits. Syst , vol.37 , pp. 1520-1527
    • Chua, L.O.1    Roska, T.2
  • 2
    • 0026913847 scopus 로고
    • Cellular neural networks with nonlinear and delay type template elements and non-uniform grids
    • Chua L. O., Roska T.: Cellular neural networks with nonlinear and delay type template elements and non-uniform grids. Int. J. Circuit Theory Appl 20, 449-451 (1992).
    • (1992) Int. J. Circuit Theory Appl , vol.20 , pp. 449-451
    • Chua, L.O.1    Roska, T.2
  • 3
    • 20444495356 scopus 로고    scopus 로고
    • Memory pattern analysis of cellular neural networks
    • Zeng Z. G., Huang D. S., Wang Z. F: Memory pattern analysis of cellular neural networks. Phys. Lett. A 342, 114-128 (2005).
    • (2005) Phys. Lett. A , vol.342 , pp. 114-128
    • Zeng, Z.G.1    Huang, D.S.2    Wang, Z.F.3
  • 4
    • 23844515863 scopus 로고    scopus 로고
    • Global stability of a general class of discrete-time recurrent neural networks
    • Zeng Z. G., Huang D. S., Wang Z. F.: Global stability of a general class of discrete-time recurrent neural networks. Neural Process. Lett 22, 33-47 (2005).
    • (2005) Neural Process. Lett , vol.22 , pp. 33-47
    • Zeng, Z.G.1    Huang, D.S.2    Wang, Z.F.3
  • 5
    • 0036608391 scopus 로고    scopus 로고
    • Stability analyses of cellular neural networks with continuous time delay
    • 21
    • Liao, X. F.; Wu, Z. F.; Yu, J. B.: Stability analyses of cellular neural networks with continuous time delay, J. Comput. Appl. Math. 143, 29-47. 21 (2002).
    • (2002) J. Comput. Appl. Math. , vol.143 , pp. 29-47
    • Liao, X.F.1    Wu, Z.F.2    Yu, J.B.3
  • 6
    • 33645877679 scopus 로고    scopus 로고
    • Image-processing algorithms realized by discrete-time cellular neural networks and their circuit implementations
    • Chen, H. C.; Hung, Y. C.; Chen, C. K.; Liao, T. L.; Chen, C. K.: Image-processing algorithms realized by discrete-time cellular neural networks and their circuit implementations. Chaos Solitons Fractals 29, 1100-1108 (2006).
    • (2006) Chaos Solitons Fractals , vol.29 , pp. 1100-1108
    • Chen, H.C.1    Hung, Y.C.2    Chen, C.K.3    Liao, T.L.4    Chen, C.K.5
  • 7
    • 0003216105 scopus 로고    scopus 로고
    • Noninvertibility and resonance indiscrete-time neural networks for time-series processing
    • Gicquel, N.; Anderson, J. S.; Kevrekidis, I. G.: Noninvertibility and resonance indiscrete-time neural networks for time-series processing. Phys. Lett. A 238, 8-18 (1998).
    • (1998) Phys. Lett. A , vol.238 , pp. 8-18
    • Gicquel, N.1    Anderson, J.S.2    Kevrekidis, I.G.3
  • 8
    • 0742306448 scopus 로고    scopus 로고
    • Global exponential stability of discrete-time neural networks for constrained quadratic optimization
    • Tan, K. C.; Tang, H. J.; Yi, Z.: Global exponential stability of discrete-time neural networks for constrained quadratic optimization. Neurocomputing 56, 399-406 (2004).
    • (2004) Neurocomputing , vol.56 , pp. 399-406
    • Tan, K.C.1    Tang, H.J.2    Yi, Z.3
  • 9
    • 0036147916 scopus 로고    scopus 로고
    • Discrete-time analogues of integrodifferential equations modelling bidirectional neural network
    • Mohamad, S.; Naim, A. G.: Discrete-time analogues of integrodifferential equations modelling bidirectional neural network. J. Comput. Appl. Math. 138, 1-20 (2002).
    • (2002) J. Comput. Appl. Math. , vol.138 , pp. 1-20
    • Mohamad, S.1    Naim, A.G.2
  • 10
    • 0037440578 scopus 로고    scopus 로고
    • Exponential stability of continuous-time and discrete time cellular neural networks with delays
    • Mohamad S., Gopalsamy K.: Exponential stability of continuous-time and discrete time cellular neural networks with delays. Appl. Math. Comput. 135, 17-38 (2003).
    • (2003) Appl. Math. Comput. , vol.135 , pp. 17-38
    • Mohamad, S.1    Gopalsamy, K.2
  • 11
    • 0032096386 scopus 로고    scopus 로고
    • On the piecewise analysis of linear threshold neural networks
    • Hahnloser R.: On the piecewise analysis of linear threshold neural networks. Neur. Netw. 11, 691-697 (1998).
    • (1998) Neur. Netw. , vol.11 , pp. 691-697
    • Hahnloser, R.1
  • 12
    • 33750093023 scopus 로고    scopus 로고
    • Multiperiodicity of discrete-time delayed neural networks evoked by periodic external inputs
    • Zeng Z. G., Wang J.: Multiperiodicity of discrete-time delayed neural networks evoked by periodic external inputs. IEEE Trans. Neural. Netw. 17, 1141-1151 (2006).
    • (2006) IEEE Trans. Neural. Netw. , vol.17 , pp. 1141-1151
    • Zeng, Z.G.1    Wang, J.2
  • 13
    • 84876443639 scopus 로고    scopus 로고
    • Self-excitation of neurons leads to multiperiodicity of discrete-time neural networks with distributed delays
    • Huang Z. K., Wang X. H., Mohamod S.: Self-excitation of neurons leads to multiperiodicity of discrete-time neural networks with distributed delays. Sci. China Inf. Sci. 54(2), 305-317 (2011).
    • (2011) Sci. China Inf. Sci. , vol.54 , Issue.2 , pp. 305-317
    • Huang, Z.K.1    Wang, X.H.2    Mohamod, S.3
  • 14
    • 78651275127 scopus 로고    scopus 로고
    • Multiple periodic solutions in impulsive hybrid neural networks with delays
    • Kaslik E., Sivasundaram S.: Multiple periodic solutions in impulsive hybrid neural networks with delays. Appl. Math. Comput. 217(10), 4890-4899 (2011).
    • (2011) Appl. Math. Comput. , vol.217 , Issue.10 , pp. 4890-4899
    • Kaslik, E.1    Sivasundaram, S.2
  • 15
    • 77957770402 scopus 로고    scopus 로고
    • Multiperiodicity of periodically oscillated discrete-time neural networks with transient excitatory self-connections and sigmoidal nonlinearities
    • Huang, Z. k.; Wang, X. H.; Feng, C. H.: Multiperiodicity of periodically oscillated discrete-time neural networks with transient excitatory self-connections and sigmoidal nonlinearities. IEEE Trans. Neural. Netw. 21(10), 1643-1655 (2010).
    • (2010) IEEE Trans. Neural. Netw. , vol.21 , Issue.10 , pp. 1643-1655
    • Huang, Z.K.1    Wang, X.H.2    Feng, C.H.3
  • 16
    • 70449532213 scopus 로고    scopus 로고
    • Multiperiodicity analysis and numerical simulation of discrete-time transiently chaotic non-autonomous neural networks with time-varying delays
    • Huang Z. k., Mohamod S., Bin H. H.: Multiperiodicity analysis and numerical simulation of discrete-time transiently chaotic non-autonomous neural networks with time-varying delays. Commun. Nonlinear Sci. Numer. Simulat. 15(5), 1348-1357 (2010).
    • (2010) Commun. Nonlinear Sci. Numer. Simulat. , vol.15 , Issue.5 , pp. 1348-1357
    • Huang, Z.K.1    Mohamod, S.2    Bin, H.H.3
  • 17
    • 39549123043 scopus 로고    scopus 로고
    • Multiperiodicity and attractivity of delayed recurrent neural networks with unsaturating piecewise linear transfer functions
    • Zhang L., Yi Z., Yu J. l.: Multiperiodicity and attractivity of delayed recurrent neural networks with unsaturating piecewise linear transfer functions. IEEE Trans. Neural. Netw. 19(1), 158-167 (2008).
    • (2008) IEEE Trans. Neural. Netw. , vol.19 , Issue.1 , pp. 158-167
    • Zhang, L.1    Yi, Z.2    Yu, J.L.3
  • 18
    • 56549098455 scopus 로고    scopus 로고
    • Multistability of competitive neural networks with time varying and distributed delays
    • Nie X. B., Cao J. D.: Multistability of competitive neural networks with time varying and distributed delays. Nonlinear Anal. Real World Appl. 10, 928-942 (2009).
    • (2009) Nonlinear Anal. Real World Appl. , vol.10 , pp. 928-942
    • Nie, X.B.1    Cao, J.D.2
  • 19
    • 45049087176 scopus 로고    scopus 로고
    • Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions
    • Cao, J. D.; Feng, G.; Wang, Y. Y.: Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions. Phys. D 237, 1734-1749 (2008).
    • (2008) Phys. D , vol.237 , pp. 1734-1749
    • Cao, J.D.1    Feng, G.2    Wang, Y.Y.3
  • 20
    • 10644236158 scopus 로고    scopus 로고
    • Exponential stability of high-order bidirectional associative memory neural networks with time delays
    • Cao, J. D.; Liang, J.; Lam, J.: Exponential stability of high-order bidirectional associative memory neural networks with time delays, Phys. D 199, 425-436 (2004).
    • (2004) Phys. D , vol.199 , pp. 425-436
    • Cao, J.D.1    Liang, J.2    Lam, J.3
  • 21
    • 33846896705 scopus 로고    scopus 로고
    • Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays
    • Lou X. Y., Cui B. T.: Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays. J. Math. Anal. Appl. 330, 144-158 (2007).
    • (2007) J. Math. Anal. Appl. , vol.330 , pp. 144-158
    • Lou, X.Y.1    Cui, B.T.2
  • 22
    • 0038344694 scopus 로고    scopus 로고
    • Global asymptotic stability of high-order Hop-field type neural networks with time delays
    • Xu, B. J.; Liu, X. Z.; Liao, X. X.: Global asymptotic stability of high-order Hop-field type neural networks with time delays, Comput. Math. Appl. 45, 1729-1737 (2003).
    • (2003) Comput. Math. Appl. , vol.45 , pp. 1729-1737
    • Xu, B.J.1    Liu, X.Z.2    Liao, X.X.3
  • 23
    • 0025745927 scopus 로고
    • High-order absolutely stable neural networks, IEEE Trans
    • Dembo A., Farotimi O., Kailath T.: High-order absolutely stable neural networks, IEEE Trans. Circuits Syst. 38, 57-65 (1991).
    • (1991) Circuits Syst. , vol.38 , pp. 57-65
    • Dembo, A.1    Farotimi, O.2    Kailath, T.3
  • 24
    • 2142713119 scopus 로고    scopus 로고
    • Capacity of oscillatory associative-memory networks with error-free retrieval
    • Nishikawa, T.; Lai, Y. C.; Hoppensteadt, F. C.: Capacity of oscillatory associative-memory networks with error-free retrieval. Phys. Rev. Lett. 92, 108101 (2004).
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 108101
    • Nishikawa, T.1    Lai, Y.C.2    Hoppensteadt, F.C.3
  • 26
    • 0036506134 scopus 로고    scopus 로고
    • Stability analysis of discrete-time recurrent neural networks, IEEE Trans
    • Barabanov N. E., Prokhorov D. V.: Stability analysis of discrete-time recurrent neural networks, IEEE Trans. Neural. Netw. 13, 292-303 (2002).
    • (2002) Neural. Netw. , vol.13 , pp. 292-303
    • Barabanov, N.E.1    Prokhorov, D.V.2
  • 27
    • 0031166854 scopus 로고    scopus 로고
    • Chaos and asymptotical stability in discrete-time neural networks
    • Chen L., Aihara K.: Chaos and asymptotical stability in discrete-time neural networks. Physica D Nonlinear Phenomena 104, 286-325 (1997).
    • (1997) Physica D Nonlinear Phenomena , vol.104 , pp. 286-325
    • Chen, L.1    Aihara, K.2
  • 28
    • 8444242130 scopus 로고    scopus 로고
    • Global stability and existence of periodic solutions of discrete delayed cellular neural networks
    • Li Y.: Global stability and existence of periodic solutions of discrete delayed cellular neural networks. Phys. Lett. A 333, 51-61 (2004).
    • (2004) Phys. Lett. A , vol.333 , pp. 51-61
    • Li, Y.1
  • 29
    • 33846401362 scopus 로고    scopus 로고
    • Discrete-time recurrent neural networks with time-varying delays: Exponential stability analysis
    • Liu Y. R., Wang Z. D., Serrano A., Liu X. H.: Discrete-time recurrent neural networks with time-varying delays: Exponential stability analysis. Phys. Lett. A 362, 480-488 (2007).
    • (2007) Phys. Lett. A , vol.362 , pp. 480-488
    • Liu, Y.R.1    Wang, Z.D.2    Serrano, A.3    Liu, X.H.4
  • 30
    • 2542528501 scopus 로고    scopus 로고
    • Identification and control of a nonlinear discrete-time system based on its linearization: a unified framework
    • Chen L., Narendra K. S.: Identification and control of a nonlinear discrete-time system based on its linearization: a unified framework. IEEE Trans. Neural Netw. 15, 663-673 (2004).
    • (2004) IEEE Trans. Neural Netw. , vol.15 , pp. 663-673
    • Chen, L.1    Narendra, K.S.2
  • 31
    • 1542273542 scopus 로고    scopus 로고
    • Stable auto-tuning of adaptive fuzzy/neural controllers for nonlinear discrete-time systems
    • Nounou H. N., Passino K. M.: Stable auto-tuning of adaptive fuzzy/neural controllers for nonlinear discrete-time systems. IEEE Trans. Fuzzy Syst. 12, 70-83 (2004).
    • (2004) IEEE Trans. Fuzzy Syst. , vol.12 , pp. 70-83
    • Nounou, H.N.1    Passino, K.M.2
  • 33
  • 34
    • 0024000737 scopus 로고    scopus 로고
    • Neural networks, orientations of the hypercube and algebraic threshold functions, IEEE Trans
    • Baldi P.: Neural networks, orientations of the hypercube and algebraic threshold functions, IEEE Trans. Inform. Theory 34, 523-530 (1998).
    • (1998) Inform. Theory , vol.34 , pp. 523-530
    • Baldi, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.