ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

Странный нехаотический аттрактор

An electronic device implementing a strange nonchaotic Hunt–Ott attractor

Topic and aim. The aim of the article is to propose an electronic device representing a non-autonomous dynamical system with a strange nonchaotic attractor insensitive to variation of parameters (with the only limitation that the ratio of the frequencies of the components of the external control driving remains unchanged being equal to a fixed irrational number). Investigated model.

Influence of fluctuations on evolution of three-dimensional torus in nonautonomous system

The transition to chaos through the destruction of three-dimensional torus is studied in a nonautonomous system with quasi-periodic impact as example. Analysis is carried out of the in?uence both of additive noise and frequency ?uctuations impact on the stability of three-dimensional torus. It is shown that under the in?uence of additive noise and frequency ?uctuations impact Lyapunov exponent remains negative. This allows to conclude that in this model three-dimensional torus is structurally stable in contrast to theautonomous system.

Strange nonchaotic attractor of hunt and ott type in a system with ring geometry

The physical realizable system of ring structure, with a fixed irrational ratio of basic frequencies of external driving (the golden mean) manifests a strange nonchaotic attractor (SNA), similar to the attractor in the abstract map on a torus proposed and analyzed earlier by Hunt and Ott as an example of robust SNA. Simulation of the dynamics is provided basing on the numerical integration of the corresponding non-autonomous system of differential equations with quasi-periodic coefficients.

Chaos and order in athmospheric dynamics part 2. Interannual rhythms of the El Nino – southern oscillation

Processes of the El Ni  ?no – Southern Oscillation (ENSO) are investigated based on the mathematical theory of the so-called the strange nonchaotic attractor (SNA) in the quasiperiodically forced dynamic systems, and using the sea surface temperature and the atmospheric sea-level pressure data for the 1870–2014 year period. It is found that ENSO is influenced not only by the annual Sun-induced periodic heating of the climate system, but also by the three more other external forces which periods are incommensurable to the annual period.