Cabral, JoãoMelo, Helena Sousa2013-12-172013-12-172013Melo, H., Cabral, J. (2013). "Numerical Range and Bifurcation Points of a Family of Rational Function". In Pinelas, Sandra; Chipot, Michel; Dosla, Zuzana (Eds.), «Differential and Difference Equations with Applications», Series: Springer Proceedings in Mathematics & Statistics, Part II, Vol. 47, pp 505–515. http://dx.doi.org/10.1007/978-1-4614-7333-6_45.978-1-4614-7332-9 (Print)978-1-4614-7333-6 (Online)2194-1009http://hdl.handle.net/10400.3/2476Copyright © 2013 Springer, Part of Springer Science+Business Media.Capítulo de livro na sequência da comunicação apresentada na "International Conference on Differential & Difference Equations and Application", realizado em 5 de julho de 2011.Using the Numerical Range Theory we make some interesting observations about the behavior of the dynamics of the family of rational function f(x)given by f_a(x)=1-(2a/(x^2+a-4)) in the neighborhood of the bifurcation point.engMatemáticaNumerical RangeBifurcationsDynamical Systemsbook part