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Of all publications in the section: 12
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Article
Kazakov A., Levanova T., Osipov G. V. et al. European Physical Journal: Special Topics. 2016. Vol. 225. No. 1. P. 147-157.
The motif of three inhibitory coupled Rulkov elements is studied. Possible dynamical regimes, including different types of sequential activity, winner-take-all activity and chaotic activity, are in the focus of this paper. In particular, a new transition scenario from sequential activity to winner-take-all activity through chaos is uncovered. This study can be used in high performance computation of large neuron-like ensembles for the modeling of neuron-like activity.
Added: Oct 22, 2015
Article
Korotkov A., Kazakov A., Леванова Т. А. European Physical Journal: Special Topics. 2019. Vol. 228. No. 10. P. 2325-2337.

We consider a system of two identical FitzHugh-Nagumo elements with electrical and memristor-based couplings and study the effect of these couplings on the nature of neuron-like spiking regimes that were previously observed in such systems with only chemical excitatory couplings.

Added: Oct 18, 2019
Article
Barash L. Yu., Weigel M., Shchur L.N. et al. European Physical Journal: Special Topics. 2017. Vol. 226. No. 4. P. 595-604.

Population annealing is a hybrid of sequential and Markov chain Monte Carlo methods geared towards the efficient parallel simulation of systems with complex free-energy landscapes. Systems with first-order phase transitions are among the problems in computational physics that are difficult to tackle with standard methods such as local-update simulations in the canonical ensemble, for example with the Metropolis algorithm. It is hence interesting to see whether such transitions can be more easily studied using population annealing. We report here our preliminary observations from population annealing runs for the two-dimensional Potts model with q > 4, where it undergoes a first-order transition.

Added: Oct 20, 2017
Article
Burovski E., Jolicoeur T., Orso G. European Physical Journal: Special Topics. 2013. Vol. 217. P. 3.

One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how detailed experiments have shown direct evidence for the theoretical treatment of this transition. Then generalization to the case of two-component systems with bound state formation is discussed. Trimer formation in the asymmetric attractive Hubbard model involve in a crucial this kind of physics.  

Added: Feb 11, 2017
Article
Korotayev A., Sadovnichii V. A., Askar Akaev. European Physical Journal: Special Topics. 2012. Vol. 205. No. 1. P. 355-373.

The article considers dynamic processes involving non-linear power-law behavior in such apparently diverse spheres, as demographic dynamics and dynamics of prices of highly liquid commodities such as oil and gold. All the respective variables exhibit features of explosive growth containing precursors indicating approaching phase transitions/catastrophes/crises. The *rst part of the article analyzes mathematical models of demographic dynamics that describe various scenarios of demographic development in the post-phase-transition period, including a model that takes the limitedness of the Earth carrying capacity into account. This model points to a critical point in the early 2050s, when the world population, after reaching its maximum value may decrease afterward stabilizing then at a certain stationary level. The article presents an analysis of the influence of the demographic transition (directly connected with the hyperexponential growth of the world population) on the global socioeconomic and geopolitical development. The second part deals with the phenomenon of explosive growth of prices of such highly liquid commodities as oil and gold. It is demonstrated that at present the respective processes could be regarded as precursors of waves of the global *nancial-economic crisis that will demand the change of the current global economic and political system. It is also shown that the moments of the start of the *rst and second waves of the current global crisis could have been forecasted with a model of accelerating log-periodic *uctuations superimposed over a power-law trend with a *nite singularity developed by Didier Sornette and collaborators. With respect to the oil prices, it is shown that it was possible to forecast the 2008 crisis with a precision up to a month already in 2007. The gold price dynamics was used to calculate the possible time of the start of the second wave of the global crisis (July–August 2011); note that this forecast has turned out to be quite correct..

Added: Mar 7, 2013
Article
Radkevich A. A., Semenov A. G., Zaikin A. European Physical Journal: Special Topics. 2019. Vol. 227. No. 15-16. P. 2289-2295.

We investigate the influence of quantum phase fluctuations on electron density of states (DOS) in ultrathin superconducting films and nanowires. Using an effective action approach we derive a non-perturbative correction to DOS in such systems. The main effect of phase fluctuations in quasi-two-dimensional films is the appearance of electron states at subgap energies while in quasi-one-dimensional nanowires fluctuations also lead to smearing of the gap edge singularity in DOS.

Added: Oct 28, 2019
Article
Pelinovsky E., Kurkin A. A., Polukhina O. European Physical Journal: Special Topics. 2010. Vol. 185. No. 1. P. 35-44.

Theoretically possible rogue edge wave are studied over cylindrical bottom in the framework of nonlinear shallow water equations in a weakly nonlinear limit. The nonlinear mechanisms (nonlinear dispersion enhancement, modulation instability and multimodal interactions) of possible anomalous edge wave appearance are analyzed.

Added: Jan 13, 2013
Article
Pelinovsky E., Polukhina Oxana, Kurkin A. A. European Physical Journal: Special Topics. 2010. Vol. 185. P. 35-44.

Theoretically possible rogue edge wave are studied over cylindrical bottom in the framework of nonlinear shallow water equations in a weakly nonlinear limit. The nonlinear mechanisms (nonlinear dispersion enhancement, modulation instability and multimodal interactions) of possible anomalous edge wave appearance are analyzed.

Added: Jun 3, 2014
Article
Grimshaw R., Pelinovsky E., Talipova T. et al. European Physical Journal: Special Topics. 2010. No. 185. P. 195-208.
Added: Feb 20, 2011
Article
Bakhanova Y., Kazakov A., Korotkov A. G. et al. European Physical Journal: Special Topics. 2018. No. 227. P. 959-970.

We study the peculiarities of spiral attractors in the Rosenzweig-MacArthur model, that relates to the life-science systems and describes dynamics in a food chain prey-predator-superpredator. It is well-known that spiral attractors having a \teacup" geometry are typical for this model at certain values of parameters for which the system can be considered as slow-fast system. We show that these attractors appear due to the Shilnikov scenario, the first step in which is associated with a supercritical Andronov{Hopf bifurcation and the last step leads to the appearance of a homoclinic attractor containing a homoclinic loop to a saddle-focus equilibrium with two-dimension unstable manifold. It is shown that the homoclinic spiral attractors together with the slow{fast behavior give rise to a new type of bursting activity in this system. Intervals of fast oscillations for such type of bursting alternate with slow motions of two types: small amplitude oscillations near a saddle-focus equilibrium and motions near a stable slow manifold of a fast subsystem. We demonstrate that such type of bursting activity can be either chaotic or regular.  

Added: Oct 24, 2018
Article
Stankevich N., Mosekilde E., Koseska A. European Physical Journal: Special Topics. 2018. Vol. 227. P. 747-756.

Complex biochemical networks are commonly characterised by the coexistence of multiple stable attractors. This endows living systems with plasticity in responses under changing external conditions, thereby enhancing their probability for survival. However, the type of such attractors as well as their positioning can hinder the likelihood to randomly visit these areas in phase space, thereby effectively decreasing the level of multistability in the system. Using a model based on the Hodgkin–Huxley formalism with bistability between a silent state, which is a rare attractor, and oscillatory bursting attractor, we demonstrate that the noise-induced switching between these two stable attractors depends on the structure of the phase space and the disposition of the coexisting attractors to each other.

Added: Dec 2, 2019
Article
Galaktionov A., Golubev D., Zaikin Andrei D. European Physical Journal: Special Topics. 2019. Vol. 227. No. 15/16. P. 2001-2012.

We analyze a trade-o between thermal activation (TA) and quantum tunneling in the problem of supercurrent decay in superconducting junctions with highly transparent barriers. In such systems -- unlike in conventional tunnel junctions -- the supercurrent decay is essentially influenced by low energy Andreev levels forming an intrinsic quantum dissipative environment for the Josephson particle. We evaluate the temperature dependent supercurrent decay rate  and elucidate a variety of di erent regimes for such a decay. We demonstrate that no classical-to-quantum crossover exists in the limit of fully transparent barriers, in which case quantum tunneling always prevails over TA.

Added: Mar 11, 2019