P. V. Popov

Incomplete noise-induced synchronization of spatially extended systems

A type of noise-induced synchronous behavior is described. This phenomenon, called incomplete noise-induced synchronization, arises for one-dimensional Ginzburg-Landau equations driven by common noise. The mechanisms resulting in incomplete noise-induced synchronization in spatially extended systems are revealed analytically. Different types of model noise are considered. A very good agreement between the theoretical results and the numerically calculated data is shown.

Generalized chaotic synchronization in coupled Ginzburg-Landau equations

Generalized synchronization is analyzed in unidirectionally coupled oscillatory systems exhibiting spatiotemporal chaotic behavior described by Ginzburg-Landau equations. Several types of coupling between the systems are analyzed. The largest spatial Lyapunov exponent is proposed as a new characteristic of the state of a distributed system, and its calculation is described for a distributed oscillatory system. Partial generalized synchronization is introduced as a new type of chaotic synchronization in spatially nonuniform distributed systems. The physical mechanisms responsible for the onset of generalized chaotic synchronization in spatially distributed oscillatory systems are elucidated. It is shown that the onset of generalized chaotic synchronization is described by a modified Ginzburg-Landau equation with additional dissipation irrespective of the type of coupling. The effect of noise on the onset of a generalized synchronization regime in coupled distributed systems is analyzed.

Spatiotemporal Chaos Synchronization in Beam-Plasma Systems with Supercritical Current

It is established that coupled beam-plasma systems with supercritical current can feature the phenomenon of chaotic synchronization. As the coupling between subsystems increases, a distributed beam-plasma system exhibits the transition from asynchronous behavior via phase synchronization to the state of complete chaotic synchronization. The phenomenon of chaotic synchronization is studied using a method developed previously on the basis of the introduction of a continuous manifold of phases of the chaotic signal.

Noise-Induced Synchronization of Spatiotemporal Chaos in the Ginzburg-Landau Equation

We have studied noise-induced synchronization in a distributed autooscillatory system described by the Ginzburg-Landau equations, which occur in a regime of chaotic spatiotemporal oscillations. A new regime of synchronous behavior, called incomplete noise-induced synchronization (INIS), is revealed, which can arise only in spatially distributed systems. The mechanism leading to the development of INIS in a distributed medium under the action of a distributed source of noise is analytically described. Good coincidence of analytical and numerical results is demonstrated.

Intermittent Generalized Synchronization in Distributed Autooscillatory Media Described by Complex Ginzburg-Landau Equations

The appearance of an intermittent regime at the boundary of the generalized chaotic synchronization region has been found for distributed autooscillatory systems described by the complex Ginzburg-Landau equations, which occur in the regime of spatiotemporal chaos. The type of the observed intermittent generalized synchronization behavior is established.

Method for Secure Information Transmission Possessing a Remarkable Stability Against Noise and Fluctuations in Communication Channel

New method for secure information transmission based on generalized synchronization, whose principal advantage is a remarkable stability to noise and fluctuations in communication channel, is proposed. The main ideas of such method are illustrated using the examples both of systems with a small number of degrees of freedom and radioengineering microwave generators.

Synchronization of oscillations in a backward-wave tube: Theory and experiment

Synchronization of oscillations in an electron-wave system with a backward electromagnetic wave is studied theoretically and experimentally. The characteristics of nonautonomous oscillations in the backwardwave tube are analyzed with allowance for the space charge and physical processes accompanying the transition of the distributed autonomous system to the synchronization regime. Theoretical results are compared with experimental data.

Generalized synchronization in Ginzburg-Landau equations with local coupling

The establishment of generalized chaotic synchronization in Ginzburg-Landau equations unidirectionally coupled at discrete points of space (local coupling) has been studied. It is shown that generalized synchronization regimes are also established with this type of coupling, but the necessary intensity of coupling is significantly higher than that in the case of a spatially homogeneous coupling.

Chaotic synchronization of two backward wave oscillators with a transverse field and distributed input of signal

Oscillations chaotic synchronization in two coupled backward wave oscillators (BWO) with transverse field and distributed signal input has been studied. Chaotic synchronization of distribution systems have been analyzed using wavelet transform. The physical processes which are responsible for the transition from asynchronous oscillations to chaotic synchronization regime have also been considered

Generalized synchronization in autooscillatory media

The phenomenon of generalized chaotic synchronization has been found in autooscillatory media described by the Ginzburg-Landau equations. A mechanism responsible for the establishment of generalized synchronization regimes in one-way coupled autooscillatory media exhibiting chaotic spatiotemporal behavior is proposed. The mechanism of generalized synchronization is described based on an analysis of a modified Ginzburg-Landau equation with an additional dissipative term.