Title :
Existence and Stability of Non-zero Steady State Solutions for Discrete Neutral Networks
Author :
Zhan, Guang ; Luo, Yunling ; Bai, Liang
Author_Institution :
Sch. of Sci., Tianjin Univ. of Commerce, Tianjin
Abstract :
In this paper, a neural networks model is established. The existence of non-zero solution pairs for its steady state equation and the local asymptotically stability of non-zero solutions are studied by using the critical point theory, Lusternik-Schnirelmann category theory, and the linearization technology. The similar method can be also used for the more general neural networks and the coupled map lattice system.
Keywords :
asymptotic stability; category theory; linearisation techniques; neural nets; Lusternik-Schnirelmann category theory; coupled map lattice system; critical point theory; discrete neutral networks; linearization technology; local asymptotic stability; neural networks model; nonzero steady state solutions; steady state equation; Asymptotic stability; Boundary conditions; Business; Computer networks; Equations; Lattices; Neural networks; Neurons; Signal processing; Steady-state;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.24
