Entropy and dimension of a chaotic attractor depending on the control parameter
DOI:
https://doi.org/10.33910/2687-153X-2022-3-4-176-185Keywords:
Nonlinear dynamics, strange attractor, chaotic attractor, probability density, chaos, intermittency, rotatorAbstract
The dependence of the entropy and dimension of the chaotic attractor on the control parameter is investigated by the numerical experiment. Calculations are carried out for one of the simplest systems described by nonlinear equations of dynamics — a rotator driven by an external periodic field. Here, regular and chaotic solutions alternate when the control parameter changes. The numerical experiment shows that the dimension of the chaotic attractor and, as a consequence, its entropy change significantly when the control parameter is in the ranges where, due to intermittency, the transition from chaotic motion to regular motion occurs.
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