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math.DS2022★ 3 cited
Universal bifurcation patterns in the unfolding of a pair of homoclinic tangencies
Sergey Gonchenko, Dongchen Li, Dmitry Turaev
We study generic two- and three-parameter unfoldings of a pair of orbits of quadratic homoclinic tangency in strongly dissipative systems. We prove that the corresponding stability…
math.DS2022★ 2 cited
On Shilnikov attractors of three-dimensional flows and maps
Yuliya Bakhanova, Sergey Gonchenko, Alexander Gonchenko +2
We describe scenarios for the emergence of Shilnikov attractors, i.e. strange attractors containing a saddle-focus with two-dimensional unstable manifold, in the case of three-dime…