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math.DS2007★ 20 cited
Lyapunov Coefficients for Degenerate Hopf Bifurcations
Jorge Sotomayor, Luis Fernando Mello, Denis de Carvalho Braga
In this paper are studied the codimensions one, two, three and four Hopf bifurcations and the pertinent Lyapunov stability coefficients. Algebraic expressions obtained with compute…
math.DS2007★ 1 cited
The Aharonov-Bohm effect: Mathematical Aspects of the Quantum Flow
Luis Fernando Mello, Yuri Cândido Ribeiro
This paper addresses the scattering of a beam of charged particles by an infinitely long magnetic string in the context of the hydrodynamical approach to quantum mechanics. The sca…