dynamical system

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

Authors: Kuznetsov S. P., Kuptsov P. V.

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.

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

Authors: Popova E. S., Zakharevich A. M., Seleznev E. P.

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.