Existence and stability of non-zero steady state solutions for discrete neutral networks

被引：0

作者：

Zhang, Guang ^{[1
]}

Luo, Yunling ^{[1
]}

Bai, Liang ^{[2
]}

机构：

[1] Tianjin Univ Commerce, Sch Sci, Tianjin 300134, Peoples R China

[2] Qingdao Technol Univ, Sch Sci, Qingdao 266033, Peoples R China

来源：

ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 3, PROCEEDINGS | 2008年

关键词：

D O I：

10.1109/ICNC.2008.24

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：185 / +

页数：2

共 50 条

[1] Existence of non-zero solutions for a nonlinear system with a parameter
Zhang, Guang
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (06) : 1410 - 1416
[2] ON THE EXISTENCE OF SOLUTIONS TO EINSTEIN EQUATION WITH NON-ZERO BONDI NEWS
ASHTEKAR, A
DRAY, T
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 79 (04) : 581 - 599
[3] STEADY-STATE DENDRITIC GROWTH AT NON-ZERO CAPILLARITY
BROWER, RC
KESSLER, DA
KOPLIK, J
LEVINE, H
[J]. SCRIPTA METALLURGICA, 1984, 18 (05): : 463 - 466
[4] NON-EXISTENCE OF GOLDSTONE BOSONS WITH NON-ZERO HELICITY
MAISON, D
REEH, H
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 24 (01) : 67 - &
[5] ON EXISTENCE AND STABILITY OF SOLUTIONS OF STEADY-STATE THEORY OF A THERMAL EXPLOSION
SIVASHIN.GI
[J]. JOURNAL OF APPLIED MATHEMATICS AND MECHANICS-USSR, 1967, 31 (01): : 146 - &
[6] Existence of steady state solutions to an epidemic model with screening and their asymptotic stability
Kim, MY
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1996, 74 (01) : 37 - 58
[7] On the Existence of Solutions to Nonlinear Equations Involving Singular Mappings with Non-zero p-Kernel
Agnieszka Prusińska
Alexey A. Tret’yakov
[J]. Set-Valued and Variational Analysis, 2011, 19 : 399 - 416
[8] State transitions for the rational solutions of Kundu equation with non-zero boundary conditions
Qiu, Deqin
Zhang, Yongshuai
Liu, Wei
[J]. Applied Mathematics Letters, 2025, 161
[9] Existence of non-zero solutions for a Dirichlet problem driven by (p(x),q(x)-Laplacian
Chinni, A.
Sciammetta, A.
Tornatore, E.
[J]. APPLICABLE ANALYSIS, 2022, 101 (15) : 5323 - 5333
[10] Existence of two non-zero weak solutions for a p(•)-biharmonic problem with Navier boundary conditions
Bonanno, Gabriele
Chinni, Antonia
Radulescu, Vicentiu D.
[J]. RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2023, 34 (03) : 727 - 743

← 1 2 3 4 5 →