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A STUDY OF THE DYNAMICS OF THE FAMILY λ | ||
| Iraqi Journal of Science | ||
| Article 1, Volume 52, Issue 4, 2011, Pages 494-503 | ||
| Author | ||
| Hassan Fadhil AL-Husseiny | ||
| Abstract | ||
| In this paper, the dynamical behavior of a family of non- critically finite transcendental meromorphic function =λ , λ >0 and m is an even natural number is described. The Julia set of , as the closure of the set of points with orbits escaping to infinity under iteration, is obtained. It is observed that, bifurcation in the dynamics of occurs at two critical parameter values λ = λ1, λ2, where λ1 = and λ2 = with x1 and x2 are the unique positive real roots of the equations tanh x = and tanh x = respectively. | ||
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