Issue |
EPL
Volume 139, Number 1, July 2022
|
|
---|---|---|
Article Number | 11003 | |
Number of page(s) | 6 | |
Section | Statistical physics and networks | |
DOI | https://doi.org/10.1209/0295-5075/ac7b43 | |
Published online | 20 July 2022 |
Equivalent synchronization patterns in chaotic jerk systems
1 Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic) - Tehran, Iran
2 Health Technology Research Institute, Amirkabir University of Technology (Tehran Polytechnic) - Tehran, Iran
3 Institut für Theoretische Physik, Technische Universität Berlin - Hardenbergstrasse 36, 10623 Berlin, Germany
4 Bernstein Center for Computational Neuroscience Berlin, Humboldt- Universität - 10115 Berlin, Germany
5 Potsdam Institute for Climate Impact Research - Telegrafenberg A 31, 14473 Potsdam, Germany
6 Humboldt University Berlin, Department of Physics - Berlin, 12489, Germany
(a) sajadjafari@aut.ac.ir (corresponding author)
Received: 31 March 2022
Accepted: 22 June 2022
Jerk systems are some of the simplest dynamical systems that can exhibit chaotic dynamics. This paper investigates the synchronization of coupled jerk systems with coupling in single variables. We apply the well-known approach for synchronization analysis, the master stability function, which determines the stability of the synchronization manifold. It is shown that a jerk system in which the jerk equation is not dependent on the acceleration has similar master stability functions when coupled in velocity or acceleration variables. Therefore, the system has the same synchronization behavior in these two coupling configurations. Such an equivalence has not been reported in the literature.
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