메뉴 건너뛰기




Volumn 21, Issue 5, 2012, Pages 821-831

Almost periodic solution of impulsive Hopfield neural networks with finite distributed delays

Author keywords

Almost periodic solution; Finite distributed delays; Fixed point theorems; Impulsive Hopfield neural networks (IHNNs)

Indexed keywords

ALMOST PERIODIC FUNCTION; ALMOST PERIODIC SOLUTIONS; CAUCHY MATRIX; CONTINUOUS NEURAL NETWORKS; EXISTENCE AND STABILITY; FINITE DISTRIBUTED DELAY; FIXED POINT THEOREMS; ILLUSTRATIVE EXAMPLES; IMPULSE EFFECT; IMPULSIVE HOPFIELD NEURAL NETWORKS (IHNNS); INEQUALITY TECHNIQUES; LYAPUNOV FUNCTIONALS; PERIODIC IMPULSE; PIECE-WISE;

EID: 84865636681     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00521-011-0655-x     Document Type: Article
Times cited : (18)

References (22)
  • 1
    • 34249956003 scopus 로고
    • Almost-periodic solutions of nonlinear impulse systems
    • Akhmetov MU, Perestyuk NA (1989) Almost-periodic solutions of nonlinear impulse systems. Ukrain Math J 41(3): 259-263.
    • (1989) Ukrain Math J , vol.41 , Issue.3 , pp. 259-263
    • Akhmetov, M.U.1    Perestyuk, N.A.2
  • 2
    • 47349085614 scopus 로고    scopus 로고
    • Existence of almost periodic solutions for SICNNs with time-varying delays
    • Ding H-S, Liang J, Xiao T-J (2008) Existence of almost periodic solutions for SICNNs with time-varying delays. Phys Lett A 372(33): 5411-5416.
    • (2008) Phys Lett A , vol.372 , Issue.33 , pp. 5411-5416
    • Ding, H.-S.1    Liang, J.2    Xiao, T.-J.3
  • 3
    • 72049115505 scopus 로고    scopus 로고
    • Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying and continuously distributed delays
    • Fan Q-Y, Shao J-Y (2010) Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying and continuously distributed delays. Commun Nonlinear Sci Numer Simul 15(6): 1655-1663.
    • (2010) Commun Nonlinear Sci Numer Simul , vol.15 , Issue.6 , pp. 1655-1663
    • Fan, Q.-Y.1    Shao, J.-Y.2
  • 4
    • 13644277116 scopus 로고    scopus 로고
    • Periodic oscillation for a class of neural networks with variable coefficients
    • Guo S-J, Huang L-H (2005) Periodic oscillation for a class of neural networks with variable coefficients. Nonlinear Anal Real World Appl 6(3): 545-561.
    • (2005) Nonlinear Anal Real World Appl , vol.6 , Issue.3 , pp. 545-561
    • Guo, S.-J.1    Huang, L.-H.2
  • 5
    • 28244469656 scopus 로고    scopus 로고
    • Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays
    • Jiang H-J, Zhang L, Teng Z-D (2005) Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays. IEEE Trans Neural Netw 16(6): 1340-1351.
    • (2005) IEEE Trans Neural Netw , vol.16 , Issue.6 , pp. 1340-1351
    • Jiang, H.-J.1    Zhang, L.2    Teng, Z.-D.3
  • 6
    • 24344473828 scopus 로고    scopus 로고
    • Existence and exponential stability of almost periodic solutions for Hopfield neural networks with delays
    • Liu B-W, Huang L-H (2005) Existence and exponential stability of almost periodic solutions for Hopfield neural networks with delays. Neurocomputing 68: 196-207.
    • (2005) Neurocomputing , vol.68 , pp. 196-207
    • Liu, B.-W.1    Huang, L.-H.2
  • 7
    • 33745185133 scopus 로고    scopus 로고
    • On the almost periodic solution of generalized Hopfield neural networks with time-varying delays
    • Liu Y-G, You Z-S, Cao L-P (2006) On the almost periodic solution of generalized Hopfield neural networks with time-varying delays. Neurocomputing 69(13-15): 1760-1767.
    • (2006) Neurocomputing , vol.69 , Issue.13-15 , pp. 1760-1767
    • Liu, Y.-G.1    You, Z.-S.2    Cao, L.-P.3
  • 8
    • 33846038162 scopus 로고    scopus 로고
    • On the almost periodic solution of cellular neural networks with distributed delays
    • Liu Y-G, You Z-S, Cao L-P (2007) On the almost periodic solution of cellular neural networks with distributed delays. IEEE Trans Neural Netw 18(1): 295-300.
    • (2007) IEEE Trans Neural Netw , vol.18 , Issue.1 , pp. 295-300
    • Liu, Y.-G.1    You, Z.-S.2    Cao, L.-P.3
  • 9
    • 33847183933 scopus 로고    scopus 로고
    • Almost periodic solution of shunting inhibitory cellular neural networks with time varying and continuously distributed delays
    • Liu Y-G, You Z-S, Cao L-P (2007) Almost periodic solution of shunting inhibitory cellular neural networks with time varying and continuously distributed delays. Phys Lett A 364(1): 17-28.
    • (2007) Phys Lett A , vol.364 , Issue.1 , pp. 17-28
    • Liu, Y.-G.1    You, Z.-S.2    Cao, L.-P.3
  • 10
    • 33750332607 scopus 로고    scopus 로고
    • On the almost periodic solution of generalized shunting inhibitory cellular neural networks with continuously distributed delays
    • Liu Y-G, You Z-S, Cao L-P (2006) On the almost periodic solution of generalized shunting inhibitory cellular neural networks with continuously distributed delays. Phys Lett A 360(1): 122-130.
    • (2006) Phys Lett A , vol.360 , Issue.1 , pp. 122-130
    • Liu, Y.-G.1    You, Z.-S.2    Cao, L.-P.3
  • 11
    • 0037391616 scopus 로고    scopus 로고
    • Convergence dynamics of delayed Hopfield-type neural networks under almost periodic stimuli. Acta Applicandae Mathematicae
    • Mohamad S (2003) Convergence dynamics of delayed Hopfield-type neural networks under almost periodic stimuli. Acta Applicandae Mathematicae. Int Survey J Apply Math Math Appl 76(2): 117-135.
    • (2003) Int Survey J Apply Math Math Appl , vol.76 , Issue.2 , pp. 117-135
    • Mohamad, S.1
  • 12
    • 77649189029 scopus 로고    scopus 로고
    • Almost periodic solutions for an impulsive delay Nicholson's blowflies model
    • Alzabut JO (2010) Almost periodic solutions for an impulsive delay Nicholson's blowflies model. J Comput Appl Math 234(1): 233-239.
    • (2010) J Comput Appl Math , vol.234 , Issue.1 , pp. 233-239
    • Alzabut, J.O.1
  • 13
    • 34250104738 scopus 로고
    • Almost-periodic solutions of impulse systems
    • Perestyuk NA, Akhmetov MU (1987) Almost-periodic solutions of impulse systems. Ukrainian Math J 39(1): 61-66.
    • (1987) Ukrainian Math J , vol.39 , Issue.1 , pp. 61-66
    • Perestyuk, N.A.1    Akhmetov, M.U.2
  • 14
    • 21744455449 scopus 로고    scopus 로고
    • Global exponential stability of the periodic solution of a delayed neural network with discontinuous activations
    • Papini D, Taddei V (2005) Global exponential stability of the periodic solution of a delayed neural network with discontinuous activations. Phys Lett A 343(1-3): 117-128.
    • (2005) Phys Lett A , vol.343 , Issue.1-3 , pp. 117-128
    • Papini, D.1    Taddei, V.2
  • 15
    • 60249097031 scopus 로고    scopus 로고
    • Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activity functions
    • Shao J-Y, Wang L-J, Ou C (2009) Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activity functions. Appl Math Model 33(6): 2575-2581.
    • (2009) Appl Math Model , vol.33 , Issue.6 , pp. 2575-2581
    • Shao, J.-Y.1    Wang, L.-J.2    Ou, C.3
  • 16
    • 14644442852 scopus 로고    scopus 로고
    • Separated and almost periodic solutions for impulsive differential equations
    • Stamov GT (2000/2001) Separated and almost periodic solutions for impulsive differential equations. Note di Matematica 20(2): 105-113.
    • (2000) Note di Matematica , vol.20 , Issue.2 , pp. 105-113
    • Stamov, G.T.1
  • 17
    • 14644434410 scopus 로고    scopus 로고
    • Impulsive cellular neural networks and almost periodicity, proceedings of the Japan academy
    • Stamov GT (2004) Impulsive cellular neural networks and almost periodicity, proceedings of the Japan academy. Ser A Math Sci 80(10): 198-203.
    • (2004) Ser A Math Sci , vol.80 , Issue.10 , pp. 198-203
    • Stamov, G.T.1
  • 18
    • 70350325133 scopus 로고    scopus 로고
    • Multistability and new attraction basins of almost-periodic solutions of delayed neural networks
    • Wang L-L, Wen-Lian L, Chen T-P (2009) Multistability and new attraction basins of almost-periodic solutions of delayed neural networks. IEEE Trans Neural Netw 20(10): 1581-1593.
    • (2009) IEEE Trans Neural Netw , vol.20 , Issue.10 , pp. 1581-1593
    • Wang, L.-L.1    Wen-Lian, L.2    Chen, T.-P.3
  • 19
    • 72149103548 scopus 로고    scopus 로고
    • Almost periodic solutions of recurrent neural networks with continuously distributed delays
    • Xiang H-J, Cao J-D (2009) Almost periodic solutions of recurrent neural networks with continuously distributed delays. Nonlinear Anal Theory Methods Appl 71(12): 6097-6108.
    • (2009) Nonlinear Anal Theory Methods Appl , vol.71 , Issue.12 , pp. 6097-6108
    • Xiang, H.-J.1    Cao, J.-D.2
  • 20
    • 21744433519 scopus 로고    scopus 로고
    • Existence and stability of periodic solution in impulsive Hopfield neural networks with finite distributed delays
    • Yang X-F, Liao X-F, Evans DJ, Tang Y (2005) Existence and stability of periodic solution in impulsive Hopfield neural networks with finite distributed delays. Phys Lett A 343(1-3): 108-116.
    • (2005) Phys Lett A , vol.343 , Issue.1-3 , pp. 108-116
    • Yang, X.-F.1    Liao, X.-F.2    Evans, D.J.3    Tang, Y.4
  • 21
    • 28244479485 scopus 로고    scopus 로고
    • Existence and exponential stability of periodic solution for impulsive delay differential equations and applications
    • Yang Z-C, Xu D-Y (2006) Existence and exponential stability of periodic solution for impulsive delay differential equations and applications. Nonlinear Anal 64(1): 130-145.
    • (2006) Nonlinear Anal , vol.64 , Issue.1 , pp. 130-145
    • Yang, Z.-C.1    Xu, D.-Y.2
  • 22
    • 48749112419 scopus 로고    scopus 로고
    • Existence and global exponential stability of almost periodic solution for CNNs with variable coefficients and delays
    • Zhang L-J, Shi B (2008) Existence and global exponential stability of almost periodic solution for CNNs with variable coefficients and delays. J Appl Math Comput 28(1-2): 461-472.
    • (2008) J Appl Math Comput , vol.28 , Issue.1-2 , pp. 461-472
    • Zhang, L.-J.1    Shi, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.