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Volumn 219, Issue 3, 2012, Pages 899-910

Multistability and multiperiodicity of delayed bidirectional associative memory neural networks with discontinuous activation functions

Author keywords

Bidirectional associative memory neural network; Discontinuous activation function; Multiperiodicity; Multistability

Indexed keywords

ACTIVATION FUNCTIONS; BI-DIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS; EXPONENTIALLY STABLE; EXTERNAL INPUT; MULTIPERIODICITY; MULTISTABILITY; PERIODIC SOLUTION; SUFFICIENT CONDITIONS;

EID: 84867332754     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2012.06.068     Document Type: Article
Times cited : (61)

References (39)
  • 1
    • 34249709488 scopus 로고    scopus 로고
    • Robust exponential stability analysis of neural networks with multiple time delays
    • Z. Wang, H. Zhang, and W. Yu Robust exponential stability analysis of neural networks with multiple time delays Neurocomputing 70 13-15 2007 2534 2543
    • (2007) Neurocomputing , vol.70 , Issue.1315 , pp. 2534-2543
    • Wang, Z.1    Zhang, H.2    Yu, W.3
  • 2
    • 34547907802 scopus 로고    scopus 로고
    • Robust exponential stability of recurrent neural networks with multiple time-varying delays
    • H. Zhang, Z. Wang, and D. Liu Robust exponential stability of recurrent neural networks with multiple time-varying delays IEEE Transactions on Circuits and Systems II 54 8 2007 730 734
    • (2007) IEEE Transactions on Circuits and Systems II , vol.54 , Issue.8 , pp. 730-734
    • Zhang, H.1    Wang, Z.2    Liu, D.3
  • 3
    • 77955638347 scopus 로고    scopus 로고
    • Generalized projective synchronization of chaotic neural networks: Observer-based approach
    • X. Wang, and J. Meng Generalized projective synchronization of chaotic neural networks: observer-based approach International Journal of Modern Physics B 24 17 2010 3351 3363
    • (2010) International Journal of Modern Physics B , vol.24 , Issue.17 , pp. 3351-3363
    • Wang, X.1    Meng, J.2
  • 4
    • 67849116741 scopus 로고    scopus 로고
    • A multi-ary number communication system based on hyperchaotic system of 6th-order cellular neural network
    • X. Wang, B. Xu, and H. Zhang A multi-ary number communication system based on hyperchaotic system of 6th-order cellular neural network Communications in Nonlinear Science and Numerical Simulation 15 1 2010 124 133
    • (2010) Communications in Nonlinear Science and Numerical Simulation , vol.15 , Issue.1 , pp. 124-133
    • Wang, X.1    Xu, B.2    Zhang, H.3
  • 5
    • 73949132376 scopus 로고    scopus 로고
    • Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay
    • H. Zhang, Z. Liu, G. Huang, and Z. Wang Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay IEEE Transactions on Neural Networks 21 1 2010 91 106
    • (2010) IEEE Transactions on Neural Networks , vol.21 , Issue.1 , pp. 91-106
    • Zhang, H.1    Liu, Z.2    Huang, G.3    Wang, Z.4
  • 6
    • 0023491172 scopus 로고
    • Adaptive bidirectional associative memories
    • B. Kosko Adaptive bidirectional associative memories Applied Optics 26 1987 4947 4960
    • (1987) Applied Optics , vol.26 , pp. 4947-4960
    • Kosko, B.1
  • 8
    • 40949160588 scopus 로고    scopus 로고
    • Multistability in bidirectional associative memory neural networks
    • G. Huang, and J. Cao Multistability in bidirectional associative memory neural networks Physics Letters A 372 2008 2842 2854
    • (2008) Physics Letters A , vol.372 , pp. 2842-2854
    • Huang, G.1    Cao, J.2
  • 9
    • 69249229831 scopus 로고    scopus 로고
    • Some multistability properties of bidirectional associative memory recurrent neural networks with unsaturating piecewise linear transfer functions
    • L. Zhang, Z. Yi, J. Yu, and P. Heng Some multistability properties of bidirectional associative memory recurrent neural networks with unsaturating piecewise linear transfer functions Neurocomputing 72 2009 3809 3817
    • (2009) Neurocomputing , vol.72 , pp. 3809-3817
    • Zhang, L.1    Yi, Z.2    Yu, J.3    Heng, P.4
  • 11
    • 50349098326 scopus 로고    scopus 로고
    • Global exponential stability of BAM neural networks with distributed delays and impulses
    • Q. Zhou Global exponential stability of BAM neural networks with distributed delays and impulses Nonlinear Analysis: Real World Applications 10 2009 144 153
    • (2009) Nonlinear Analysis: Real World Applications , vol.10 , pp. 144-153
    • Zhou, Q.1
  • 12
    • 79953722509 scopus 로고    scopus 로고
    • Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales
    • Z. Zhang, and K. Liu Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales Neural Networks 24 2011 427 439
    • (2011) Neural Networks , vol.24 , pp. 427-439
    • Zhang, Z.1    Liu, K.2
  • 13
    • 0037431453 scopus 로고    scopus 로고
    • Existence and stability of almost periodic solution for BAM neural networks with delays
    • A. Chen, L. Huang, and J. Cao Existence and stability of almost periodic solution for BAM neural networks with delays Applied Mathematics and Computation 137 2003 177 193
    • (2003) Applied Mathematics and Computation , vol.137 , pp. 177-193
    • Chen, A.1    Huang, L.2    Cao, J.3
  • 14
    • 12544251852 scopus 로고    scopus 로고
    • Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms
    • Q. Song, Z. Zhao, and Y. Li Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms Physics Letters A 335 2005 213 225
    • (2005) Physics Letters A , vol.335 , pp. 213-225
    • Song, Q.1    Zhao, Z.2    Li, Y.3
  • 15
    • 33750046030 scopus 로고    scopus 로고
    • Dynamics of bidirectional associative memory networks with distributed delays and reaction-diffusion terms
    • Q. Song, and J. Cao Dynamics of bidirectional associative memory networks with distributed delays and reaction-diffusion terms Nonlinear Analysis: Real World Applications 8 2007 345 361
    • (2007) Nonlinear Analysis: Real World Applications , vol.8 , pp. 345-361
    • Song, Q.1    Cao, J.2
  • 16
    • 34047260556 scopus 로고    scopus 로고
    • An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays
    • Q. Song, and Z. Wang An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays Nonlinear Analysis: Real World Applications 8 2007 1224 1234
    • (2007) Nonlinear Analysis: Real World Applications , vol.8 , pp. 1224-1234
    • Song, Q.1    Wang, Z.2
  • 17
    • 42649106518 scopus 로고    scopus 로고
    • A new stability criterion for bidirectional associative memory neural networks of neutral-type
    • J. Park, C. Park, O. Kwon, and S. Lee A new stability criterion for bidirectional associative memory neural networks of neutral-type Applied Mathematics and Computation 199 2008 716 722
    • (2008) Applied Mathematics and Computation , vol.199 , pp. 716-722
    • Park, J.1    Park, C.2    Kwon, O.3    Lee, S.4
  • 18
    • 42649091828 scopus 로고    scopus 로고
    • On improved delay-dependent criterion for global stability of bidirectional associative memory neural networks with time-varying delays
    • J. Park, and O. Kwon On improved delay-dependent criterion for global stability of bidirectional associative memory neural networks with time-varying delays Applied Mathematics and Computation 199 2008 435 446
    • (2008) Applied Mathematics and Computation , vol.199 , pp. 435-446
    • Park, J.1    Kwon, O.2
  • 19
    • 65249134029 scopus 로고    scopus 로고
    • Delay-dependent stability criterion for bidirectional associative memory neural networks with interval time-varying delays
    • J. Park, and O. Kwon Delay-dependent stability criterion for bidirectional associative memory neural networks with interval time-varying delays Modern Physics Letters B 23 2009 35 46
    • (2009) Modern Physics Letters B , vol.23 , pp. 35-46
    • Park, J.1    Kwon, O.2
  • 20
    • 62949167983 scopus 로고    scopus 로고
    • On exponential stability of bidirectional associative memory neural networks with time-varying delays
    • J. Park, S. Lee, and O. Kwon On exponential stability of bidirectional associative memory neural networks with time-varying delays Chaos, Solitons and Fractals 39 2009 1083 1091
    • (2009) Chaos, Solitons and Fractals , vol.39 , pp. 1083-1091
    • Park, J.1    Lee, S.2    Kwon, O.3
  • 22
    • 33845215509 scopus 로고    scopus 로고
    • Multistability and convergence in delayed neural networks
    • C. Cheng, K. Lin, and C. Shih Multistability and convergence in delayed neural networks Physica D 225 2007 61 74
    • (2007) Physica D , vol.225 , pp. 61-74
    • Cheng, C.1    Lin, K.2    Shih, C.3
  • 23
    • 45049087176 scopus 로고    scopus 로고
    • Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions
    • J. Cao, G. Feng, and Y. Wang Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions Physica D 237 2008 1734 1749
    • (2008) Physica D , vol.237 , pp. 1734-1749
    • Cao, J.1    Feng, G.2    Wang, Y.3
  • 24
    • 84861190559 scopus 로고    scopus 로고
    • Multistability properties of linear threshold discrete-time recurrent neural networks
    • Y. Huang, and X. Zhang Multistability properties of linear threshold discrete-time recurrent neural networks International Journal of Information and Systems Sciences 7 2011 1 10
    • (2011) International Journal of Information and Systems Sciences , vol.7 , pp. 1-10
    • Huang, Y.1    Zhang, X.2
  • 25
    • 73949135312 scopus 로고    scopus 로고
    • Coexistence and local stability of multiple equilibria in neural networks with piecewise linear nondecreasing activation functions
    • L. Wang, W. Lu, and T. Chen Coexistence and local stability of multiple equilibria in neural networks with piecewise linear nondecreasing activation functions Neural Networks 23 2010 189 200
    • (2010) Neural Networks , vol.23 , pp. 189-200
    • Wang, L.1    Lu, W.2    Chen, T.3
  • 26
    • 2442432590 scopus 로고    scopus 로고
    • Multistability of discrete-time recurrent neural networks with unsaturating piecewise linear activation functions
    • Z. Yi, and K. Tan Multistability of discrete-time recurrent neural networks with unsaturating piecewise linear activation functions IEEE Transactions on Neural Networks 15 2004 329 336
    • (2004) IEEE Transactions on Neural Networks , vol.15 , pp. 329-336
    • Yi, Z.1    Tan, K.2
  • 27
    • 78651275127 scopus 로고    scopus 로고
    • Multiple periodic solutions in impulsive hybrid neural networks with delays
    • E. Kaslik, and S. Sivasundaram Multiple periodic solutions in impulsive hybrid neural networks with delays Applied Mathematics and Computation 217 2011 4890 4899
    • (2011) Applied Mathematics and Computation , vol.217 , pp. 4890-4899
    • Kaslik, E.1    Sivasundaram, S.2
  • 28
    • 77955513608 scopus 로고    scopus 로고
    • Multistability of recurrent neural networks with time-varying delays and the piecewise linear activation function
    • Z. Zeng, T. Huang, and W. Zheng Multistability of recurrent neural networks with time-varying delays and the piecewise linear activation function IEEE Transactions on Neural Networks 21 2010 1371 1377
    • (2010) IEEE Transactions on Neural Networks , vol.21 , pp. 1371-1377
    • Zeng, Z.1    Huang, T.2    Zheng, W.3
  • 29
    • 84867337265 scopus 로고    scopus 로고
    • Multistability of neural networks with time-varying delays and concave-convex characteristics
    • Z. Zeng, and W. Zheng Multistability of neural networks with time-varying delays and concave-convex characteristics IEEE Transactions on Neural Networks and Learning Systems 23 2012 293 305
    • (2012) IEEE Transactions on Neural Networks and Learning Systems , vol.23 , pp. 293-305
    • Zeng, Z.1    Zheng, W.2
  • 30
    • 84862794138 scopus 로고    scopus 로고
    • Existence and exponential stability of multiple periodic solutions for a multidirectional associative memory neural network
    • T. Zhou, M. Wang, and M. Long Existence and exponential stability of multiple periodic solutions for a multidirectional associative memory neural network Neural Processing Letters 35 2012 187 202
    • (2012) Neural Processing Letters , vol.35 , pp. 187-202
    • Zhou, T.1    Wang, M.2    Long, M.3
  • 31
    • 28244452021 scopus 로고    scopus 로고
    • Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain
    • M. Forti, P. Nistri, and D. Papini Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain IEEE Transactions on Neural Networks 16 2005 1449 1463
    • (2005) IEEE Transactions on Neural Networks , vol.16 , pp. 1449-1463
    • Forti, M.1    Nistri, P.2    Papini, D.3
  • 32
    • 31144460192 scopus 로고    scopus 로고
    • Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations
    • M. Forti, M. Grazzini, P. Nistri, and L. Pancioni Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations Physica D 214 2006 88 99
    • (2006) Physica D , vol.214 , pp. 88-99
    • Forti, M.1    Grazzini, M.2    Nistri, P.3    Pancioni, L.4
  • 33
    • 69249215144 scopus 로고    scopus 로고
    • LMI conditions for global robust stability of delayed neural networks with discontinuous neuron activations
    • Z. Guo, and L. Huang LMI conditions for global robust stability of delayed neural networks with discontinuous neuron activations Applied Mathematics and Computation 215 2009 889 900
    • (2009) Applied Mathematics and Computation , vol.215 , pp. 889-900
    • Guo, Z.1    Huang, L.2
  • 34
    • 79953207030 scopus 로고    scopus 로고
    • Robust state estimation for neural networks with discontinuous activations
    • X. Liu, and J. Cao Robust state estimation for neural networks with discontinuous activations IEEE Transactions on Systems, Man, and Cybernetics B 40 2010 1425 1437
    • (2010) IEEE Transactions on Systems, Man, and Cybernetics B , vol.40 , pp. 1425-1437
    • Liu, X.1    Cao, J.2
  • 36
    • 80955145744 scopus 로고    scopus 로고
    • Analysis and design of associative memories based on recurrent neural network with discontinuous activation functions
    • G. Bao, and Z. Zeng Analysis and design of associative memories based on recurrent neural network with discontinuous activation functions Neurocomputing 77 2012 101 107
    • (2012) Neurocomputing , vol.77 , pp. 101-107
    • Bao, G.1    Zeng, Z.2
  • 37
    • 84861193650 scopus 로고    scopus 로고
    • Dynamical stability analysis of multiple equilibrium points in time-varying delayed recurrent neural networks with discontinuous activation functions
    • Y. Huang, H. Zhang, and Z. Wang Dynamical stability analysis of multiple equilibrium points in time-varying delayed recurrent neural networks with discontinuous activation functions Neurocomputing 91 2012 21 28
    • (2012) Neurocomputing , vol.91 , pp. 21-28
    • Huang, Y.1    Zhang, H.2    Wang, Z.3
  • 38
    • 0003608428 scopus 로고
    • Differential equations with discontinuous righthand sides
    • Kluwer Academic Boston MA
    • A. Filippov Differential equations with discontinuous righthand sides Mathematics and its Applications (Soviet Series) 1988 Kluwer Academic Boston MA
    • (1988) Mathematics and Its Applications (Soviet Series)
    • Filippov, A.1
  • 39
    • 34250942645 scopus 로고
    • U ̈ ber abbildung von mannigfaltigkeiten
    • L. Brouwer U ̈ ber abbildung von mannigfaltigkeiten Mathmatische Annalen 71 1912 97 115
    • (1912) Mathmatische Annalen , vol.71 , pp. 97-115
    • Brouwer, L.1


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