메뉴 건너뛰기




Volumn 68, Issue 1-4, 2005, Pages 196-207

Existence and exponential stability of almost periodic solutions for Hopfield neural networks with delays

Author keywords

Almost periodic solution; Delays; Exponential stability; Fixed point theorem; Hopfield neural networks

Indexed keywords

COMPUTATIONAL METHODS; CONFORMAL MAPPING; DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SYSTEM STABILITY; THEOREM PROVING; TIME VARYING SYSTEMS;

EID: 24344473828     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2005.05.002     Document Type: Article
Times cited : (23)

References (16)
  • 2
    • 0037427557 scopus 로고    scopus 로고
    • Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients
    • A. Chen J. Cao Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients Appl. Math. Comput. 134 1 2003 125-140
    • (2003) Appl. Math. Comput. , vol.134 , Issue.1 , pp. 125-140
    • Chen, A.1    Cao, J.2
  • 3
    • 20444413746 scopus 로고    scopus 로고
    • Existence and attractivity of almost periodic solutions of Hopfield neutral networks
    • (in Chinese)
    • A. Chen L.H. Huang Existence and attractivity of almost periodic solutions of Hopfield neutral networks Math. Acta Scientia 21A 4 2001 505-511 (in Chinese)
    • (2001) Math. Acta Scientia , vol.21 A , Issue.4 , pp. 505-511
    • Chen, A.1    Huang, L.H.2
  • 4
    • 0036568042 scopus 로고    scopus 로고
    • Existence and stability of periodic solutions for Hopfield neural network equations with periodic input
    • Q. Dong K. Matsui X. Huang Existence and stability of periodic solutions for Hopfield neural network equations with periodic input Nonlinear Anal. 49 2002 471-479
    • (2002) Nonlinear Anal. , vol.49 , pp. 471-479
    • Dong, Q.1    Matsui, K.2    Huang, X.3
  • 5
    • 0003233070 scopus 로고
    • Almost periodic differential equations
    • Springer, Berlin
    • A.M. Fink, Almost periodic differential equations, Lecture Notes in Mathematics, vol. 377, Springer, Berlin, 1974, pp. 80-112
    • (1974) Lecture Notes in Mathematics , vol.377 , pp. 80-112
    • Fink, A.M.1
  • 6
    • 0242458400 scopus 로고    scopus 로고
    • Periodic solutions in an inhibitory two-neuron network
    • S. Guo L. Huang Periodic solutions in an inhibitory two-neuron network J. Comput. Appl. Math. 161 1 2003 217-229
    • (2003) J. Comput. Appl. Math. , vol.161 , Issue.1 , pp. 217-229
    • Guo, S.1    Huang, L.2
  • 7
    • 42749108924 scopus 로고    scopus 로고
    • Stability analysis of a delayed Hopfield neutral network
    • 061902
    • S. Guo L. Huang Stability analysis of a delayed Hopfield neutral network Phys. Rev. E 67 061902 2003 1-7
    • (2003) Phys. Rev. E , vol.67 , pp. 1-7
    • Guo, S.1    Huang, L.2
  • 9
    • 0003549329 scopus 로고
    • Almost periodic differential equation
    • Higher Education Publishing House, Beijing (in Chinese)
    • C.Y. He, Almost periodic differential equation, Higher Education Publishing House, Beijing, 1992, pp. 90-100 (in Chinese)
    • (1992) , pp. 90-100
    • He, C.Y.1
  • 10
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • J. Hopfied Neural networks and physical systems with emergent collective computational abilities Proc. Nat. Acad. Sci. U.S.A. 79 1982 2554-2558
    • (1982) Proc. Nat. Acad. Sci. U.S.A. , vol.79 , pp. 2554-2558
    • Hopfied, J.1
  • 11
    • 0004469897 scopus 로고
    • Neurons with graded response have collective computational properties like those of two-stage neurons
    • J. Hopfied Neurons with graded response have collective computational properties like those of two-stage neurons Proc. Nat. Acad. Sci. U.S.A. 81 1984 3088-3092
    • (1984) Proc. Nat. Acad. Sci. U.S.A. , vol.81 , pp. 3088-3092
    • Hopfied, J.1
  • 12
    • 0038103138 scopus 로고    scopus 로고
    • Almost periodic solutions of inhibitory cellular neural networks with time-vary delays
    • X. Huang J. Cao Almost periodic solutions of inhibitory cellular neural networks with time-vary delays Phys. Lett. A 314 3 2003 222-231
    • (2003) Phys. Lett. A , vol.314 , Issue.3 , pp. 222-231
    • Huang, X.1    Cao, J.2
  • 13
    • 0037124336 scopus 로고    scopus 로고
    • Global exponential stability and periodic solutions of recurrent cellular neural networks with delays
    • H. Huang J. Cao J. Wang Global exponential stability and periodic solutions of recurrent cellular neural networks with delays Phys. Lett. A 298 5-6 2002 393-404
    • (2002) Phys. Lett. A , vol.298 , Issue.5-6 , pp. 393-404
    • Huang, H.1    Cao, J.2    Wang, J.3
  • 15
    • 0344009696 scopus 로고    scopus 로고
    • Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays
    • Z. Liu A. Chen J. Cao L. Huang Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays Phys. Lett. A 319 4 2003 305-316
    • (2003) Phys. Lett. A , vol.319 , Issue.4 , pp. 305-316
    • Liu, Z.1    Chen, A.2    Cao, J.3    Huang, L.4
  • 16
    • 1242322176 scopus 로고    scopus 로고
    • Existence and global exponential stability of periodic solutions of cellular neural networks with time-vary delays
    • Z. Liu L. Liao Existence and global exponential stability of periodic solutions of cellular neural networks with time-vary delays J. Math. Anal. Appl. 290 2 2004 247-262
    • (2004) J. Math. Anal. Appl. , vol.290 , Issue.2 , pp. 247-262
    • Liu, Z.1    Liao, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.