https://doi.org/10.1140/epjst/e2020-000010-5
Regular Article
Properties of generalized synchronization in smooth and non-smooth identical oscillators
Division of Dynamics, Lodz University of Technology,
ul. Stefanowskiego 1/15
Lodz, Poland
a e-mail: andrzej.stefanski@p.lodz.pl
Received:
24
January
2020
Accepted:
8
June
2020
Published online: 28 September 2020
This paper deals with the phenomenon of the GS only in the context of unidirectional connection between identical exciter and receivers. A special attention is focused on the properties of the GS in coupled non-smooth Chua circuits. The robustness of the synchronous state is analyzed in the presence of slight parameter mismatch. The analysis tools are transversal and response Lyapunov exponents and fractal dimension of the attractor. These studies show differences in the stability of synchronous states between smooth (Lorenz system) and non-smooth (Chua circuit) oscillators.
© The Author(s) 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
