41 citations · 43 across the 4 of their papers we have counts for
6 papers
Homoclinic chaos in the Rössler model
Semyon Malykh, Yuliya Bakhanov, Alexey Kazakov +2
We study the origin of homoclinic chaos in the classical 3D model proposed by O. Rössler in 1976. Of our particular interest are the convoluted bifurcations of the Shilnikov saddle…
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…
Effects of memristor-based coupling in the ensemble of FitzHugh-Nagumo elements
Alexander G. Korotkov, Tatiana A. Levanova, Alexey O. Kazakov
In this paper, we study the impact of electrical and memristor-based couplings on some neuron-like spiking regimes, previously observed in the ensemble of two identical FitzHugh-Na…
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…
On a scenario of onset of strongly dissipative mixed dynamics
Alexey Kazakov
In this paper we present the scenario of the occurrence of strongly dissipative mixed dynamics in two-dimensional reversible diffeomorphisms, using as an example the system describ…
Elements of contemporary mathematical theory of dynamical chaos. Part 1. Pseudohyperbolic attractors
S. V. Gonchenko, A. S. Gonchenko, A. O. Kazakov +1
The paper deals with topical issues of modern mathematical theory of dynamical chaos and its applications. At present, it is customary to assume that dynamical chaos in finitedimen…