Separatrix Splitting in 3D Volume-Preserving Maps
نویسندگان
چکیده
منابع مشابه
Separatrix Splitting in 3D Volume-Preserving Maps
We construct a family of integrable volume-preserving maps in R with a bidimensional heteroclinic connection of spherical shape between two fixed points of saddle-focus type. In other contexts, such structures are called Hill’s spherical vortices or spheromaks. We study the splitting of the separatrix under volume-preserving perturbations using a discrete version of the Melnikov method. Firstly...
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A 3D volume-preserving system is considered. The system differs by a small perturbation from an integrable one. In the phase space of the unperturbed system there are regions filled with closed phase trajectories, where the system has two independent first integrals. These regions are separated by a 2D separatrix passing through nondegenerate singular points. Far from the separatrix, the pertur...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2008
ISSN: 1536-0040
DOI: 10.1137/080713173