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Properties of generalized synchronization in smooth and non-smooth identical oscillators

Authors
  • Balcerzak, M.1
  • Chudzik, A.1
  • Stefanski, A.1
  • 1 Division of Dynamics, Lodz University of Technology, ul. Stefanowskiego 1/15, Lodz, Poland , Lodz (Poland)
Type
Published Article
Journal
The European Physical Journal Special Topics
Publisher
Springer Berlin Heidelberg
Publication Date
Sep 28, 2020
Volume
229
Issue
12-13
Pages
2151–2165
Identifiers
DOI: 10.1140/epjst/e2020-000010-5
Source
Springer Nature
License
Green

Abstract

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.

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