Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Korneev, Ivan A."'
Autor:
Korneev, Ivan A., Ramazanov, Ibadulla R., Slepnev, Andrei V., Vadivasova, Tatiana E., Semenov, Vladimir V.
Using methods of numerical simulation, we demonstrate the constructive role of memristive coupling in the context of the travelling wave formation and robustness in an ensemble of excitable oscillators described by the FitzHugh-Nagumo neuron model. F
Externí odkaz:
http://arxiv.org/abs/2404.14147
Using the FitzHugh-Nagumo system in the excitable regime, we investigate the influence of the L{\'e}vy noise properties on the effect of coherence resonance. In particular, we demonstrate that the L{\'e}vy noise can be a constructive or destructive f
Externí odkaz:
http://arxiv.org/abs/2402.19426
Autor:
Korneev, Ivan A., Ramazanov, Ibadulla R., Slepnev, Andrei V., Vadivasova, Tatiana E., Semenov, Vladimir V.
Typically, the period-doubling bifurcations exhibited by nonlinear dissipative systems are observed when varying systems' parameters. In contrast, the period-doubling bifurcations considered in the current research are induced by changing the initial
Externí odkaz:
http://arxiv.org/abs/2304.12449
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena May 2024 182
Using numerical simulation methods and analytical approach, we demonstrate hard self-oscillation excitation in systems with infinitely many equilibrium points forming a line of equilibria in the phase space. The studied bifurcation phenomena are equi
Externí odkaz:
http://arxiv.org/abs/2103.04434
The model of a non-autonomous memristor-based oscillator with a line of equilibria is studied. A numerical simulation of the system driven by a periodical force is combined with a theoretical analysis by means of the quasi-harmonic reduction. Both tw
Externí odkaz:
http://arxiv.org/abs/1907.06595
Autor:
Ramazanov, Ibadulla Ramzesovich, Korneev, Ivan Aleksandrovich, Slepnev, Andrej Vjacheslavovich, Vadivasova, Tatjana Evgenevna
Publikováno v:
Известия высших учебных заведений: Прикладная нелинейная динамика, Vol 30, Iss 6, Pp 732-748 (2022)
The purpose of this work is to study the possibility of synchronization of wave processes in distributed excitable systems by means of noise modulation of the coupling strength between them. Methods. A simple model of a neural network, which consists
Externí odkaz:
https://doaj.org/article/4b22e5619d114fcb8843fcab1c5a516f
A model of two self-sustained oscillators interacting through memristive coupling is studied. Memristive coupling is realized by using a cubic memristor model. Numerical simulation is combined with theoretical analysis by means of quasi-harmonic redu
Externí odkaz:
http://arxiv.org/abs/1807.00613
Autor:
Korneev, Ivan A., Semenov, Vladimir V.
The model of a memristor-based oscillator with cubic nonlinearity is studied. The considered system has infinitely many equilibrium points, which build a line of equilibria in the phase space. Numerical modeling of the dynamics is combined with bifur
Externí odkaz:
http://arxiv.org/abs/1707.05676
A model of memristor-based Chuas oscillator is studied. The considered system has infinitely many equilibrium points, which build a line of equilibria. Bifurcational mechanisms of oscillation excitation are explored for different forms of nonlinearit
Externí odkaz:
http://arxiv.org/abs/1705.06301