41 citations · 45 across the 5 of their papers we have counts for
9 papers · 1 filter
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…
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 and study their influence on t…
On discrete pseudohyperbolic attractors of Lorenz type
Sergey Gonchenko, Alexander Gonchenko, Alexey Kazakov
We study geometrical and dynamical properties of the so-called discrete Lorenz-like attractors, that can be observed in three-dimensional diffeomorphisms. We propose new phenomenol…
Synchronous oscillations and symmetry breaking in a model of two interacting ultrasound contrast agents
Ivan R. Garashchuk, Alexey O. Kazakov, Dmitry I. Sinelshchikov
We study nonlinear dynamics in a system of two coupled oscillators, describing the motion of two interacting microbubble contrast agents. In the case of identical bubbles, the corr…
Hyperchaos and Multistability in Nonlinear Dynamics of Two Interacting Microbubble Contrast Agents
Ivan R. Garashchuk, Dmitry I. Sinelshchikov, Alexey O. Kazakov +1
We study nonlinear dynamics of two coupled contrast agents that are micro-meter size gas bubbles encapsulated into a viscoelastic shell. Such bubbles are used for enhancing ultraso…
Wild pseudohyperbolic attractor in a four-dimensional Lorenz system
Sergey Gonchenko, Alexey Kazakov, Dmitry Turaev
We present an example of a new strange attractor which, as we show, belongs to a class of wild pseudohyperbolic spiral attractors. We find this attractor in a four-dimensional syst…