Хаотические осцилляторы

In this article we compare the characteristics of two types of the intermittent behavior (type­I intermittency in the presence of noise and eyelet intermittency) supposed hitherto to be the different phenomena. We prove that these effects are the same type of dynamics observed under different conditions. The correctness of our conclusion is proven by the consideration of different sample systems, such as quadratic map, van der Pol oscillator and R ̈ossler system.

The behavior of the Pierce diode has been considered from the point of view of the spatial Lyapunov exponents. The method of calculation of the spectrum of the spatial Lyapunov exponents for the electron spatial extended systems has been proposed. The autonomous dynamics of the Pierce diode as well as the behavior of two unidirectionally coupled Pierce diodes when the generalized synchronization is taken place have been considered.

The behavior of the boundary of generalized synchronization in two unidirectionally coupled chaotic oscillators depending on the value of the control parameter mismatch between interacting systems has been studied. Peculiarities in its behavior in the field of the relatively large values of the control parameter mistuning have been found. The character of this behavior and physical mechanisms resulting in the generalized synchronization regime onset in such systems have been explained by the analysis of the spectral compound of signal from response system.