NEW SERIES. SERIES: PHYSICS
ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)


chaos

Chaos in the System of Three Coupled Rotators: from Anosov Dynamics to Hyperbolic Attractor

The work presents an example of a system with chaotic dynamics built of three rotators by modifying a conservative system with hyperbolic Anosov dynamics. Results of a computational study of chaotic dynamics are considered (portraits of attractors, time dependences of the variables, Lyapunov exponents, and spectra) and good correspondence is observed between the dynamics on the attractor of the proposed system with the reduced model, characterized by the Anosov dynamics at appropriately defined energy.

Recovery of Models of Time-delay Systems from Short Experimental Time Series

Time-delay systems reconstructed from short and noisy time series is conducted by the specialized method based on utilizing of driven system with the structure similar to the structure of the studied object. To show the efficiency of this approach, parameters were reconstructed for radiophysical chaotic generator and for the model of biological system.

Dynamics of the Coupled Nonautonomous Nonlinear Oscillators with Irrational Driving Frequencies Ratio

In present article the system of the two coupled nonautonomous nonlinear oscillators with irrational driving frequencies ratio is investigated experimentally. The existence regions of the various dynamical types are presented on the external excitation parameter plan. It is shown that in the case of irrational driving frequencies ratio and as result invariance system dynamics due to phases or phase difference of excitation in phase space exist torus, double torus, strange nonchaotic attractor, chaos and hyperchaos only.

Lorenz Attractor in a System with Delay: an Example of Pseudogyperbolic Chaos

Background and Objectives: The work contributes to a research direction aimed at search for and construction of physically realizable systems, which could fill the mathematical theory of pseudo-hyperbolic dynamics with physical content. Chaotic attractors belonging to this class generate genuine chaos that does not degrade under small variations of parameters and functions in dynamical equations.

About Conditionality of Nonlinear Responce of Miogenic Response of Afferent Arteriola for Irregular Self-Sustained Oscillations of Nephron Proximal Pressure

By means of nonlinear dynamics and time series analysis we investigate the possible mechanisms for the onset of chaotic selfsustained dynamics in nephron tubular pressure that is observed experimentally. Our results suggests that the miogenic constriction mechanism of afferent arteriola plays the key role providing the nonlinear response on temporal variation of filtration rate.