Izvestiya of Saratov University.
ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)


Influence of noise on generalized synchronization in systems with a complex topology of attractor

Background and Objectives: The goal of the paper is to study the influence of noise on generalized synchronization in unidirectionally coupled systems with a complex topology of attractor. As the systems under study, two models of chaotic systems with two-sheeted topologies of attractors such as Lorenz and Chen systems are considered.

On the effect of noise on quasiperiodicity of different dimensions, including the quasiperiodic Hopf bifurcation

Background and Objectives: The basic model of study is the simplest three - dimensional map with two-frequency and three-frequency quasiperiodicity at adding of noise. The main objective is to examine the effect of noise on the quasiperiodic Hopf bifurcation of the 3-torus birth. Materials and Methods: To study the torus map in the presence of noise we use such numerical methods as computing of Lyapunov exponents, calculation of Fourier spectra, drawing of attractor portraits.

Time-delayed Feedback Control of Coherence Resonance. Experimental Study

In the paper a possibility to control the behavior of dynamic systems under conditions of coherent resonance using delayed feedback is proved experimentally. This problem is studied on the classical example of excitable system, which is the FitzHugh – Nagumo oscillator, as well as on the example of the Van der Pol oscillator with hard excitation, which also demonstrates the regime of coherent resonance. In both cases, when changing the delay time the feedback loop can both enhance and suppress the effect of coherent resonance.