General results on the existence and global exponential stability of periodic solutions for generalized shunting inhibitory cellular neural networks with delays.
Page 1
Displaying 1 – 11 of 11
Global bifurcations in a dynamical model of recurrent neural networks
Anita Windisch, Péter L. Simon (2023)
Applications of Mathematics
The dynamical behaviour of a continuous time recurrent neural network model with a special weight matrix is studied. The network contains several identical excitatory neurons and a single inhibitory one. This special construction enables us to reduce the dimension of the system and then fully characterize the local and global codimension-one bifurcations. It is shown that besides saddle-node and Andronov-Hopf bifurcations, homoclinic and cycle fold bifurcations may occur. These bifurcation curves...
Global dissipativity on uncertain discrete-time neural networks with time-varying delays.
Song, Qiankun, Cao, Jinde (2010)
Discrete Dynamics in Nature and Society
Global Existence and Boundedness of Solutions to a Model of Chemotaxis
J. Dyson, R. Villella-Bressan, G. F. Webb (2008)
Mathematical Modelling of Natural Phenomena
A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system of nonlinear partial differential equations for the spatial population density of a species and the spatial concentration of a chemoattractant in n-dimensional space. We prove the existence of solutions, which exist globally, and are L∞-bounded on finite time intervals. The hypotheses require nonlocal conditions on the species-induced production of the chemoattractant.
Global exponential stability of delayed Cohen-Grossberg BAM neural networks with impulses on time scales.
Li, Yongkun, Hua, Yuchun, Fei, Yu (2009)
Journal of Inequalities and Applications [electronic only]
Global exponential stability of periodic oscillation for nonautonomous BAM neural networks with distributed delay.
Wang, Yi, Ma, Zhongjun, Liu, Hongli (2009)
Journal of Inequalities and Applications [electronic only]
Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure
Chaouki Aouiti, Hediene Jallouli, Mohsen Miraoui (2022)
Applications of Mathematics
We investigate the Cohen-Grosberg differential equations with mixed delays and time-varying coefficient: Several useful results on the functional space of such functions like completeness and composition theorems are established. By using the fixed-point theorem and some properties of the doubly measure pseudo almost automorphic functions, a set of sufficient criteria are established to ensure the existence, uniqueness and global exponential stability of a -pseudo almost automorphic solution. The...
Global robust dissipativity of integro-differential systems modelling neural networks with time delay.
Cui, Baotong, Lou, Xuyang (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Global stability of Clifford-valued Takagi-Sugeno fuzzy neural networks with time-varying delays and impulses
Ramalingam Sriraman, Asha Nedunchezhiyan (2022)
Kybernetika
In this study, we consider the Takagi-Sugeno (T-S) fuzzy model to examine the global asymptotic stability of Clifford-valued neural networks with time-varying delays and impulses. In order to achieve the global asymptotic stability criteria, we design a general network model that includes quaternion-, complex-, and real-valued networks as special cases. First, we decompose the -dimensional Clifford-valued neural network into -dimensional real-valued counterparts in order to solve the noncommutativity...
Global stability of delayed Hopfield neural networks under dynamical thresholds.
Zhang, Fei-Yu, Li, Wan-Tong (2005)
Discrete Dynamics in Nature and Society
Graph pattern analysis with PatternGravisto.
Klukas, Christian, Koschützki, Dirk, Schreiber, Falk (2005)
Journal of Graph Algorithms and Applications
Currently displaying 1 – 11 of 11
Page 1