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The role of timescale separation in oscillatory ensembles with competitive coupling
Chaos. 2021. Vol. 30. No. 5. P. 051101-1–051101-8.
We study a heterogeneous population consisting of two groups of oscillatory elements, one with attractive and one with repulsive coupling. Moreover, we set different internal timescales for the oscillators of the two groups and concentrate on the role of this timescale separation in the collective behavior. Our results demonstrate that it may significantly modify synchronization properties of the system, and the implications are fundamentally different depending on the ratio between the group timescales. For the slower attractive group, synchronization properties are similar to the case of equal timescales. However, when the attractive group is faster, these properties significantly change and bistability appears. The other collective regimes such as frozen states and solitary states are also shown to be crucially influenced by timescale separation.
Ruderman M. S., N. S. Petrukhin, Monthly Notices of the Royal Astronomical Society 2026 Vol. 549 No. 4 Article stag783
For the first time we study kink oscillations of braided coronal magnetic loops. We use the simplest model of a braided loop that consists just of two identical curved magnetic tubes. It is assumed that the plasma density is constant inside the tubes, and also in the surrounding plasma. To describe the kink oscillations we ...
Added: July 12, 2026
Dogonasheva O., Giraud A., Zakharov D. et al., Neural Networks 2025 Vol. 195 Article 108194
In this review, we examine computational models that explore the role of neural oscillations in speech perception, spanning from early auditory processing to higher cognitive stages. We focus on models that use rhythmic brain activities, such as gamma, theta, and delta oscillations, to encode phonemes, segment speech into syllables and words, and integrate linguistic elements ...
Added: October 16, 2025
Ruderman M. S., Petrukhin N., Monthly Notices of the Royal Astronomical Society 2024 Vol. 528 No. 3 P. 4829–4837
We study kink oscillations of the system of two parallel magnetic tubes in the presence of plasma cooling. We assume that the characteristic cooling time is much larger than the characteristic time of kink oscillations. Using the ratio of two characteristic times as a small parameter, we derive the expression for the adiabatic invariant, which ...
Added: February 14, 2024
Ruderman M. S., N. S. Petrukhin, Solar Physics 2023 Vol. 298 Article 125
We study kink and fluting waves in expanding and twisted magnetic flux tubes. We use the
thin-tube and zero-beta plasma approximations. The equilibrium magnetic field is force free
with a constant proportionality coefficient between the electrical current and the magnetic
field. We derive the equation governing the kink and fluting waves in a tube. Using this
equation we study ...
Added: December 3, 2023
Ruderman M. S., N. S. Petrukhin, Monthly Notices of the Royal Astronomical Society 2023 Vol. 523 No. 2 P. 2074–2082
We study oscillations of two parallel interacting magnetic tubes in the presence of plasma flow along the tubes. Using the cold plasma and thin tube approximations we derive the system of two equations describing these oscillations. This system of equations is valid for equilibria where the plasma density and flow velocity can vary along the ...
Added: July 26, 2023
Ruderman M. S., Petrukhin N., Pelinovsky E., Solar Physics 2021 Vol. 296 Article 124
In this article we study the plasma motion in the transitional layer of a coronal loop randomly
driven at one of its footpoints in the thin-tube and thin-boundary-layer (TTTB) approximation. We introduce the average of the square of a random function with respect to time. This
average can be considered as the square of the oscillation amplitude ...
Added: August 18, 2021
Petrukhin N., Ruderman M. S., Monthly Notices of the Royal Astronomical Society 2021 Vol. 501 P. 3017–3029
We study kink oscillations of a straight magnetic tube with a transitional region at its boundary. The tube is homogeneous in the axial direction. The plasma density monotonically decreases in the transitional region from its value inside the tube to that in the surrounding plasma. The plasma motion is described by the linear magnetohydrodynamic equations ...
Added: January 23, 2021
Kenville R., Maudrich T., Vidaurre C. et al., Journal of Neurophysiology 2020 Vol. 124 No. 4 P. 1045–1055
Coordination of functionally coupled muscles is a key aspect of movement execution. Demands on coordinative control increase with the number of involved muscles and joints, as well as with differing movement periods within a given motor sequence. While previous research has provided evidence concerning inter- and intramuscular synchrony in isolated movements, compound movements remain largely ...
Added: November 16, 2020
Извекова Ю. Н., Popel S., Извеков О. Я., Физика плазмы 2020 Т. 46 № 1 С. 72–77
The possibility of excitation of oscillations in a Schumann resonator in the atmosphere of Mars is discussed. On Earth, the main source of energy in the resonator cavity are thunderstorms at tropical latitudes. On Mars, electric phenomena are possible during dust events such as dust columns and dust storms. The charging of dust grains in a dust column ...
Added: April 3, 2020
Zhozhikashvili N., Nurislamova Y., Novikov N. et al., , in: VII International Conference Aspects of Neuroscience, Warsaw, Poland (November 24-26).: Warsz.: Faculty of Biology University of Warsaw, 2017. Ch. 28 P. 78–79.
Successful performance in cognitive tasks relies on the deployment of cognitive control mechanisms including non-specific regulation of motor threshold and modulation of attentional processes specific to the task. Failure of each of the two mechanisms may lead to different kind of responses, post-response adaptations and, importantly, distinctive behavior correlates. In particular, slow correct and erroneous ...
Added: March 2, 2020
Ruderman M., Petrukhin N., Astronomy and Astrophysics 2019 Vol. 631 P. A31-1–A31-12
ABSTRACT
The effect of siphon flow on kink oscillations of magnetic flux tubes is studied in the thin tube and thin boundary layer (TTTB) approximation. The presence of a transitional layer results in oscillation damping due to resonance absorption. To calculate the damping rate we use the regular perturbation method with the ratio of transitional layer ...
Added: October 17, 2019
Zhozhikashvili N., Nurislamova Y., Novikov N. et al., , in: International Journal of Psychophysiology. Proceedings of the 19th World Congress of Psychophysiology (IOP2018) of the International Organization of Psychophysiology (IOP) Lucca, Italy September 4th to September 8th, 2018Vol. 131S.: Elsevier, 2018. P. 179–180.
Mechanisms of cognitive control include monitoring and regulation of both task-specific attentional processes and non-specific motor threshold. Failures in one or the other of these two mechanisms may lead to different kinds of responses, post-response adaptations and, importantly, distinctive behavioral correlates. Slow responses can be interpreted as responses committed after attentional lapses and, therefore, during ...
Added: November 6, 2018
Petrukhin N., Ruderman M. S., Shurgalina E. G., Monthly Notices of the Royal Astronomical Society 2018 Vol. 474 No. 2 P. 2289–2301
We study damping of phase-mixed Alfvén waves propagating in non-reflective axisymmetric magnetic plasma configurations. We derive the general equation describing the attenuation of the Alfvén wave amplitude. Then we applied the general theory to a particular case with the exponentially divergent magnetic field lines. The condition that the configuration is non-reflective determines the variation of ...
Added: February 6, 2018
Ruderman M.., Petrukhin N., Astronomy and Astrophysics 2017 Vol. 600 No. A122 P. 1–11
The ability of phase mixing to provide efficient damping of Alfvén waves even in weakly dissipative plasmas made it a popular mechanismforexplainingthesolarcoronalheating.Initiallyitwasstudiedintheequilibriumconfigurationswiththestraightmagnetic fieldlinesandtheAlfvénspeedonlyvaryinginthedirectionperpendiculartothemagneticfield.LatertheanalysisoftheAlfvénwave phase mixing was extended in various directions. In particular it was studied in two-dimensional planar magnetic plasma equilibria. Analytical investigation was carried out under the assumption that the wavelength is much smaller ...
Added: May 10, 2017
Iscan Z., Nazarova M., Fedele T. et al., Frontiers in Human Neuroscience 2016 Vol. 10 No. 504 P. 1–11
Inter- and intra-subject variability of the motor evoked potentials (MEPs) to TMS is a well-known phenomenon. Although a possible link between this variability and ongoing brain oscillations was demonstrated, the results of the studies are not consistent with each other. Exploring this topic further is important since the modulation of MEPs provides unique possibility to ...
Added: October 3, 2016
Ruderman M. S., Petrukhin N., Pelinovsky E., Solar Physics 2016 Vol. 291 No. 4 P. 1143–1157
We study kink oscillations of thin magnetic tubes. We assume that the density inside and outside the tube (and possibly also the cross-section radius) can vary along the tube. This variation is assumed to be of such a form that the kink speed is symmetric with respect to the tube centre and varies monotonically from ...
Added: June 2, 2016
I. A. Bakunina, Abramov-Maximov V. E., Smirnova V. V., Journal of Physics: Conference Series 2016 Vol. 675 No. 3 P. 1–6
This work presents the microwave long-term oscillations with periods of a few tens of minutes obtained from Nobeyama radioheliograph (NoRH) at frequency 17 GHz. In two active regions the fluctuations of radio emission of different types of intersunspot sources (ISS) (compact and extended) were compared with the fluctuations in magnetic fields of sunspots. Common periods ...
Added: February 25, 2016
Schaworonkow N., Blythe D., Kegeles J. et al., Human Brain Mapping 2015 Vol. 36 No. 8 P. 2901–2914
Relating behavioral and neuroimaging measures is essential to understanding human brain function. Often, this is achieved by computing a correlation between behavioral measures, e.g., reaction times, and neurophysiological recordings, e.g., prestimulus EEG alpha-power, on a single-trial-basis. This approach treats individual trials as independent measurements and ignores the fact that data are acquired in a temporal order. It has ...
Added: May 13, 2015
Malashkin A. V., Тарлаковский Д. В., Вестяк В. А. et al., В кн.: Теории оболочек и мембран в механике и биологии: от макро- до наноразмерных структур:материалы междунар. науч. конф., 16—20 сент. 2013 г., Минск, Беларусь.: Издательский центр БГУ, 2013. С. 67–69.
Numerical simulation of the oscillation thick walled shell electromagnetoelasticity ...
Added: February 1, 2015
Н. Новгород: Национальный исследовательский университет Высшая школа экономики в Нижнем Новгороде, 2014.
Added: November 21, 2014
Nikulin V., Nolte G., Curio G., Clinical Neurophysiology 2012 Vol. 7 No. 123 P. 1353–1360
OBJECTIVE:
We present a novel method for the extraction of neuronal components showing cross-frequency phase synchronization.
METHODS:
In general the method can be applied for the detection of phase interactions between components with frequencies f1 and f2, where f2 ≈ rf1 and r is some integer. We refer to the method as cross-frequency decomposition (CFD), which consists of ...
Added: October 23, 2014
Nikulin V., Jönsson E., Brismar T., Neuroimage 2012 Vol. 1 No. 61 P. 162–169
Although schizophrenia was previously associated with affected spatial neuronal synchronization, surprisingly little is known about the temporal dynamics of neuronal oscillations in this disease. However, given that the coordination of neuronal processes in time represents an essential aspect of practically all cognitive operations, it might be strongly affected in patients with schizophrenia. In the present ...
Added: October 23, 2014