Study about Evolution and Controlling of the Plykin – Newhouse Attractor by the Pyragas Method

The current contribution is concerned with an autonomous physical system that is characterised by the presence of a hyperbolic type attractor. The Pyragas approach is used to investigate the feasibility of manipulating and stabilising the Plykin-Newhose attractor of this type. The selection of a control method. As a result, an external signal or the addition of further delayed feedback can be used. (Both techniques can be implemented in an actual experiment after the schematic simulation.) It could also be interesting to consider implementing a more elaborate control strategy, such as the one proposed in the paper, for the stabilisation of attractor’s unstable periodic orbits.

Author(S) Details

Sergey Belyakin
Physics Faculty, Department of General Physics, Lomonosov Moscow State University, Moscow, Russia.

Sergey Shuteev
Physics Faculty, Department of General Physics, Lomonosov Moscow State University, Moscow, Russia.

Sergey Kyznetsov
Faculty of Nonlinear Processes, Department of Dynamic Systems, State University of Saratov, Saratov, Russia.

View Book:- https://stm.bookpi.org/NTPSR-V1/article/view/6485

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