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Numerical Range and Bifurcation Points of a Family of Rational Function

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Abstract(s)

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.

Description

Copyright © 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.

Keywords

Matemática Numerical Range Bifurcations Dynamical Systems

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Citation

Melo, 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.

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Springer New York

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