TY - JOUR
T1 - Stability for delayed generalized 2D discrete logistic systems
AU - Tian, Chuan Jun
AU - Chen, Guanrong
PY - 2004
Y1 - 2004
N2 - This paper is concerned with delayed generalized 2D discrete logistic systems of the form xm+1,n = f(m,n,xm,n, xm,n+1, xm-σ,n-τ), where σ and τ are positive integers, f : ℕ02 × ℝ3 → ℝ is a real function, which contains the logistic map as a special case, and m and n are nonnegative integers, where ℕ 0 = {0, 1,...} and ℝ = (- ∞, ∞). Some sufficient conditions for this system to be stable and exponentially stable are derived.
AB - This paper is concerned with delayed generalized 2D discrete logistic systems of the form xm+1,n = f(m,n,xm,n, xm,n+1, xm-σ,n-τ), where σ and τ are positive integers, f : ℕ02 × ℝ3 → ℝ is a real function, which contains the logistic map as a special case, and m and n are nonnegative integers, where ℕ 0 = {0, 1,...} and ℝ = (- ∞, ∞). Some sufficient conditions for this system to be stable and exponentially stable are derived.
UR - http://www.scopus.com/inward/record.url?scp=34547583236&partnerID=8YFLogxK
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U2 - 10.1155/S1687183904308101
DO - 10.1155/S1687183904308101
M3 - RGC 21 - Publication in refereed journal
SN - 1687-1839
VL - 2004
SP - 279
EP - 290
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 4
ER -