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- Alexander E. Hramov, Alexey A. Koronovskii, Mariya K Kurovskaya, Olga I . Moskalenko
- Physical review. E, Statistical, nonlinear, and…
- 2005

The chaotic synchronization regime in coupled dynamical systems is considered. It has been shown that the onset of a synchronous regime is based on the appearance of a phase relation between the interacting chaotic oscillator frequency components of Fourier spectra. The criterion of synchronization of spectral components as well as the measure of… (More)

- Olga I . Moskalenko, Alexey A. Koronovskii, Alexander E. Hramov
- Physical review. E, Statistical, nonlinear, and…
- 2013

The auxiliary system approach being de facto the standard for the study of generalized synchronization in the unidirectionally coupled chaotic oscillators is also widely used to examine the mutually coupled systems and networks of nonlinear elements with the complex topology of links between nodes. In this Brief Report we illustrate by two simple… (More)

A phenomenon of intermittency of intermittencies is discovered in the temporal behavior of two coupled complex systems. We observe for the first time the coexistence of two types of intermittent behavior taking place simultaneously near the boundary of the synchronization regime of coupled chaotic oscillators. This phenomenon is found both in the numerical… (More)

- Olga I . Moskalenko, Alexey A. Koronovskii, Alexander E. Hramov, Stefano Boccaletti
- Physical review. E, Statistical, nonlinear, and…
- 2012

We introduce a concept of generalized synchronization, able to encompass the setting of collective synchronized behavior for mutually coupled systems and networking systems featuring complex topologies in their connections. The onset of the synchronous regime is confirmed by the dependence of the system's Lyapunov exponents on the coupling parameter. The… (More)

– The behavior of two unidirectionally coupled chaotic oscillators near the generalized synchronization onset has been considered. The character of the boundaries of the generalized synchronization regime has been explained by means of the modified system approach. Chaotic synchronization is one of the fundamental nonlinear phenomena actively studied… (More)

- Olga I . Moskalenko, Alexey A. Koronovskii, Alexander E. Hramov
- Physical review. E, Statistical, nonlinear, and…
- 2015

A method for the estimation of the Lyapunov exponent corresponding to enslaved phase dynamics from time series has been proposed. It is valid for both nonautonomous systems demonstrating periodic dynamics in the presence of noise and coupled chaotic oscillators and allows us to estimate precisely enough the value of this Lyapunov exponent in the… (More)

- Alexander E. Hramov, Vladimir V. Makarov, +11 authors A. G. Balanov
- Physical review letters
- 2014

We investigate the effects of a linear resonator on the high-frequency dynamics of electrons in devices exhibiting negative differential conductance. We show that the resonator strongly affects both the dc and ac transport characteristics of the device, inducing quasiperiodic and high-frequency chaotic current oscillations. The theoretical findings are… (More)

- Alexey A. Koronovskii, Olga I . Moskalenko, Alexander E. Hramov
- Physical review. E, Statistical, nonlinear, and…
- 2011

In this paper we report on the necessity of the refinement of the concept of generalized chaotic synchronization. We show that the state vectors of the interacting chaotic systems being in the generalized synchronization regime are related to each other by the functional, but not the functional relation as it was assumed until now. We propose the phase tube… (More)

- Alexey A. Koronovskii, Olga I . Moskalenko, A . O . Sel ’ skii, Alexander E. Hramov
- 2015

The character of a boundary of the domain of generalized synchronization (GS) regime has been studied for a system of three chaotic oscillators, two which are unidirectionally coupled with the third. It is established that the position of the GS boundary on the plane of coupling parameters is determined by the detuning of frequencies of the interacting… (More)

- Alexey A. Koronovskii, Alexander E. Hramov, Vadim V. Grubov, Olga I . Moskalenko, Evgenia Sitnikova, Alexey N. Pavlov
- Physical review. E
- 2016

Intermittent behavior occurs widely in nature. At present, several types of intermittencies are known and well-studied. However, consideration of intermittency has usually been limited to the analysis of cases when only one certain type of intermittency takes place. In this paper, we report on the temporal behavior of the complex neuronal network in the… (More)