Aikan Shykhmamedov

most citedOn 1:3 resonance under reversible perturbations of conservative cubic Hénon maps

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.DS2021★ 1 cited

On 1:3 resonance under reversible perturbations of conservative cubic Hénon maps

M. S. Gonchenko, A. O. Kazakov, E. A. Samylina +1

We consider reversible non-conservative perturbations of the conservative cubic Hénon maps $H_{3}^{\pm} : x ˉ = y, y ˉ = - x + M_{1} + M_{2} y \pm y^{3}$ and study their influence on t…

math.DS2020

Scenarios for the Creation of Hyperchaotic Attractors of 3D Maps

Aikan Shykhmamedov, Efrosiniia Karatetskaia, Alexey Kazakov +1

We study bifurcation mechanisms for the appearance of hyperchaotic attractors in three-dimensional diffeomorphisms, i.e., such attractors whose orbits have two positive Lyapunov ex…