A new model shift mapping was given in bilateral symbol space. It is topologically conjugate with the traditional shift mapping. Similar to Smale Horseshoe, a model was constructed correspondent to the model shift map...A new model shift mapping was given in bilateral symbol space. It is topologically conjugate with the traditional shift mapping. Similar to Smale Horseshoe, a model was constructed correspondent to the model shift mapping, i.e., a class of mapping on Mbius strip was given. Its attractors' structure and dynamical behaviour were described.展开更多
This paper describes the problem of stability for one-dimensional Cellular Neural Networks（CNNs）. A sufficient condition is presented to ensure complete stability for a class of special CNN＇s with nonsymmetric temp...This paper describes the problem of stability for one-dimensional Cellular Neural Networks（CNNs）. A sufficient condition is presented to ensure complete stability for a class of special CNN＇s with nonsymmetric templates, where the parameter in the output function is greater than or equal to zero. The main method is analysising the property of the equilibrium point of the CNNs system.展开更多
文摘A new model shift mapping was given in bilateral symbol space. It is topologically conjugate with the traditional shift mapping. Similar to Smale Horseshoe, a model was constructed correspondent to the model shift mapping, i.e., a class of mapping on Mbius strip was given. Its attractors' structure and dynamical behaviour were described.
基金Supported by the NSF of Zhejiang Province(M103087) Supported by the Science Research Fund of Hushou Teacher's College
文摘This paper describes the problem of stability for one-dimensional Cellular Neural Networks（CNNs）. A sufficient condition is presented to ensure complete stability for a class of special CNN＇s with nonsymmetric templates, where the parameter in the output function is greater than or equal to zero. The main method is analysising the property of the equilibrium point of the CNNs system.
