Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays
نویسندگان
چکیده
منابع مشابه
Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays
A class of discrete-time Cohen-Grossberg neural networkswith delays is investigated in this paper. By analyzing the corresponding characteristic equations, the asymptotical stability of the null solution and the existence of Neimark-Sacker bifurcations are discussed. By applying the normal form theory and the center manifold theorem, the direction of the Neimark-Sacker bifurcation and the stabi...
متن کاملStability and bifurcation of a Cohen-Grossberg neural network with discrete delays
and Applied Analysis 3 in which a a1 0 b′ 1 0 a2 0 b ′ 2 0 , b a1 0 a2 0 , c b ′ 1 0 b ′ 2 0 , d d1d2f ′ 1 0 f ′ 2 0 . 2.4 If τ 0, it is easy to know that 2.3 has two roots with negative real parts when d < c. Equation 2.10 has at least one positive root when d > c. If τ / 0, let us assume that λ iω ω > 0 is a root of 2.3 ; we have bc −ω2 bd cosωτ, aω −bd sinωτ. 2.5 Adding up the squares of the...
متن کاملStability Results for Cohen-Grossberg Neural Networks with Delays
In this paper we give a sufficient condition to imply local and global asymptotic attractivity of the equilibrium of the Cohen-Grossberg neural network with time-dependent delays of the form ẋi(t) = ci(x(t))
متن کاملDelay-independent criteria for exponential stability of generalized Cohen–Grossberg neural networks with discrete delays
The global exponential stability is investigated for a class of generalized Cohen–Grossberg neural networks with discrete delays. By means of the combination of the nonlinear measure approach and constructing a novel Lyapunov functional together with some nonlinear functional analysis and inequality techniques, general sufficient conditions are obtained for the existence, uniqueness and global ...
متن کاملStability of Cohen-Grossberg Neural Networks with Impulsive and Mixed Time Delays
In this paper, the problem of stability analysis for a class of impulsive Cohen-Grossberg neural networks with mixed time delays is considered. The mixed time delays comprise both the time-varying and distributed delays. By employing a combination of the M -matrix theory and analytic methods, several sufficient conditions are obtained to ensure the global exponential stability of equilibrium po...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2011
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2011/403873