Document Type
Article
Date of Original Version
2015
Abstract
We find the asymptotic approximations of the stable and unstable manifolds of the saddle equilibrium solutions of the following difference equation xn+1 = a x3n + bx3n-1 + cxn + dxn-1, n = 0,1... where the parameters a, b, c and d are positive numbers and the initial conditions x-1 and x0 are arbitrary numbers. these manifolds determine completely the global dynamics of this equation.
Citation/Publisher Attribution
Bekteševic, J., Kulenović, M. R. S., & Pilav, E. (2015). Asymptotic Approximations of the Stable and Unstable Manifolds of Fixed Points of a Two-dimensional Cubic Map. International Journal of Difference Equations, 10(1), 39-58.
Available at: http://campus.mst.edu/ijde/contents/v10n1p3.pdf
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