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Asymptotic Analysis of Subcritical Hopf-Homoclinic Bifurcation
Hopf-Homoclinic Bifurcation Asymptotic
2015/8/25
termined by the coincidence of a subcritical Hopf bifurcation with a homoclinic orbit
of the Hopf equilibrium. Our work is motivated by our previous analysis of a
Hodgkin-Huxley neuron model which p...
Effective Non-vanishing of Asymptotic Adjoint Syzygies
Effective Non-vanishing Asymptotic Adjoint Syzygies Algebraic Geometry
2012/4/17
The purpose of this paper is to establish an effective non-vanishing theorem for the syzygies of an adjoint-type line bundle on a smooth variety, as the positivity of the embedding increases. Our purp...
Asymptotic behaviour of rational curves
Asymptotic behaviour rational curves Algebraic Geometry
2011/9/15
Abstract: We investigate the asympotic behaviour of the moduli space of morphisms from the rational curve to a given variety when the degree becomes large. One of the crucial tools is the homogeneous ...