Dynamics of a rational multi-parameter second order difference equation with cubic numerator and quadratic monomial denominator

Details Dynamics of a rational multi-parameter second order difference equation with cubic numerator and quadratic monomial denominator Dynamics of a rational multi-parameter second order difference equation with cubic numerator and quadratic monomial denominator

2010-11-15

arxiv.org/abs/1011.3506v2

Mathematics

Dynamical Systems

Submitted to Nonlinear Analysis:Real World Applications

Scientific paper

The asymptotic behavior (such as convergence to an equilibrium, convergence
to a 2-cycle, and divergence to infinity) of solutions of the following
multi-parameter, rational, second order difference equation x_{n+1} =(ax_{n}^3+
bx_{n}^2x_{n-1}+cx_{n}x_{n-1}^2+dx_{n-1}^3)/x_{n}^2, x_{-1},x_{0}\in R, is
studied in this paper.

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