Abstract:By using the Kolmogorov-Arnold-Moser (KAM) theory, we investigate the stability of two elliptic equilibrium points (zero equilibrium and negative equilibrium) of the difference equation t n+1 = αt n + βt 2 n − t n−1 , n = 0, 1, 2, . . . , where are t −1 , t 0 , α ∈ R, α = 0, β > 0. By using the symmetries we find the periodic solutions with some periods. Finally, some numerical examples are given to verify our theoretical results.
MSC: 39A10; 39A11; 37E40; 37J40; 37N25In studying the global dynamics of (1) and… Show more
In this paper, we study the qualitative behavior of the rational recursive sequences where the initial conditions are arbitrary real numbers. Also, we give the numerical examples and solutions graphs of some cases of difference equations.
In this paper, we study the qualitative behavior of the rational recursive sequences where the initial conditions are arbitrary real numbers. Also, we give the numerical examples and solutions graphs of some cases of difference equations.
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