Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Kazakov, Alexey O."'
We study chaotic dynamics in a system of four differential equations describing the dynamics of five identical globally coupled phase oscillators with biharmonic coupling. We show that this system exhibits strange spiral attractors (Shilnikov attract
Externí odkaz:
http://arxiv.org/abs/2205.02926
Publikováno v:
Nonlinear Dynamics, 101(2), 1199-1213 (2020)
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 corresponding symmetry of the governing system of equations leads to the p
Externí odkaz:
http://arxiv.org/abs/2005.02281
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-Nagumo elements with chemical excitatory coupling. We demonstrate how in
Externí odkaz:
http://arxiv.org/abs/1903.05472
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 ultrasound visualization of blood flow and have other promising applications
Externí odkaz:
http://arxiv.org/abs/1903.03955
We study the phenomenological model of ensemble of two FitzHugh-Nagumo neuron-like elements with symmetric excitatory couplings. The main advantage of proposed model is the new approach to model of coupling which is implemented by smooth function tha
Externí odkaz:
http://arxiv.org/abs/1805.04127
A one-parameter family of time-reversible systems on $\mathbb{T}^3$ is considered. It is shown that the dynamics is not conservative, namely the attractor and repeller intersect but not coincide. We explain this as the manifestation of the so-called
Externí odkaz:
http://arxiv.org/abs/1604.02417
The phenomenon of a topological monodromy in integrable Hamiltonian and nonholonomic systems is discussed. An efficient method for computing and visualizing the monodromy is developed. The comparative analysis of the topological monodromy is given fo
Externí odkaz:
http://arxiv.org/abs/1401.3630
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation 15 June 2019 71:38-49
Publikováno v:
In IFAC PapersOnLine 2018 51(33):241-245
Publikováno v:
Regular and Chaotic Dynamics. 27:198-216
We consider reversible nonconservative perturbations of the conservative cubic Hénon maps $H^{\pm}_3: \bar x=y, \bar y=−x+M_1+M_2 y \pm y^3$ and study their influence on the 1:3 resonance, i. e., bifurcations of fixed points with eigenvalues $e^{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ebd01e3821cd5dd05fc502c67d08bd5b
https://doi.org/10.1134/s1560354722020058
https://doi.org/10.1134/s1560354722020058