Homoclinic saddle to saddle-focus transitions in 4D systems
نویسندگان
چکیده
منابع مشابه
Bifurcation of Homoclinic Orbits to a Saddle-Focus in Reversible Systems with SO(2)-Symmetry
We study reversible, SO(2)-invariant vector fields in R depending on a real parameter = which possess for ==0 a primary family of homoclinic orbits T:H0 , : # S. Under a transversality condition with respect to = the existence of homoclinic n-pulse solutions is demonstrated for a sequence of parameter values = (n) k 0 for k . The existence of cascades of 2 3-pulse solutions follows by showing t...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2019
ISSN: 0951-7715,1361-6544
DOI: 10.1088/1361-6544/ab0041