ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

Journal in the journal

q-­breathers: from the fermi–pasta–ulam paradox to anomalous conductivity

The paper reviews the modern problems of nonlinear physics, where q-breathers theory finds its applications.

Diagnostics and analysis of oscillatory neuronal network activity of brain with continuous wavelet analysis

In the article we present an overview of a number of continuous wavelet transformbased techniques for analysis and diagnostic of oscillatory neuronal network activity of brain in experimentally obtained electroencephalographic data. We describe a technique for automatic detection of characteristic patterns for paroxysmal activity (spike-wave discharges) in epileptic electroencephalogram (EEG) based on wavelet spectrum power analysis, obtained with continuous wavelet transform with complex mother wavelet (Morlet) in specific frequency ranges.

Intermittency near phase synchronization boundary at different time scales

In this paper the results of the study of the intermittent behavior taking place near the phase synchronization boundary on the different time scales of the observation are given. It has been shown that below the phase synchronization boundary, in the area of eyelet intermittency there are time scales where the ring intermittency is also observed. In other words, for the certain values of the coupling strength and time scale of observation both types of the intermittent behavior take place simultaneously.

Nonlinear dynamics of a ring of three phase systems

Nonlinear dynamics of the ensemble consisting of three phase-locked generators, which are coupled in a ring, is discovered. By force of computational modeling, which is based on the theory of oscillations, the regimes of the generators collective behavior is examined; the districts of synchronous and quasi-synchronous regimes are distinguished in the parameter space; the restructuring of the dynamics behavior on the boards of the distinguished districts is analyzed.

The method of automatic diagnostics of various components of complex signals on the base of wavelet transform as applied to geophysics problems

The article discusses the method of analysis and automatic diagnostics of the characteristics of various components of complex signals on digital data on the basis of continuous wavelet transformation. The results of processing of experimental data are exposed. The article shows that the offered method of single-channel continuous wavelet transformation with the subsequent analysis of instantaneous transformation energy in a certain frequency band allows tracing a zone of the registered high-intensity waves of sound and superficial type in an automatic mode.

Effect of external periodic force on the dynamics of thecharge domains in semiconductor superlattice

Periodic external signal effect on the collective dynamics of charge in semiconductor superlattice is studied. It is shown, that periodically-oscillating external electrical field can synchronize the transport of domains of the high density of charge as well as oscillations of electrical current flowing through the superlattice.

Synchronization of the system of two competing modes by external harmonic signal

Forced synchronization of self-oscillating system with two degrees of freedom is studied in the case when there are no resonance relations between eigenfrequencies and interaction of the modes has the form of mode competition. Stability conditions for the regimes of one- and two-frequency oscillations are obtained analytically. The structure of synchronization tongues on the frequency–amplitude of external driving parameters plane is studied numerically.

On quasi-­synchronous regimes in a phase lock loop with the second­-order filter and approximate inclusion of the delay

For a typical phase lock loop with the second-order filter and delayed feedback, conditions of appearance and characteristics of regular and chaotic automodulation regimes are studied.

Chaos in volume free electron lasers

Mathematical model of Volume Free Electron Lasers (VFEL) is described. Some aspects and origins of VFEL chaotic dynamics are examined.