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math.DS2010
Galoisian approach for a Sturm-Liouville problem on the infinite interval
David Blazquez-Sanz, Kazuyuki Yagasaki
We study a Sturm-Liouville type eigenvalue problem for second-order differential equations on the infinite interval. Here the eigenfunctions are nonzero solutions exponentially dec…
math.DS2010
Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria
David Blazquez-Sanz, Kazuyuki Yagasaki
We study bifurcations of homoclinic orbits to hyperbolic saddle equilibria in a class of four-dimensional systems which may be Hamiltonian or not. Only one parameter is enough to t…