https://doi.org/10.1140/epjs/s11734-021-00127-8
Regular Article
Periodic solutions and circuit design of chaos in a unified stretch-twist-fold flow
1
School of Mathematics and Physics, China University of Geosciences (Wuhan), 430074, Wuhan, China
2
Zhejiang Institute, China University of Geosciences, 311305, Hangzhou, Zhejiang, China
3
College of Mechanical Engineering, Beijing University of Technology, 100124, Beijing, China
Received:
5
August
2020
Accepted:
28
April
2021
Published online:
19
June
2021
Based on the original stretch-twist-fold flow, we propose a unified stretch–twist–fold (USTF) flow. We explore the conditions that zero-Hopf bifurcation occurs at the origin. Using the first-order averaging theorem, a periodic solution produced from the zero-Hopf equilibrium is derived. In addition, we obtain the conclusion that for parameter 
large enough, the periodic orbit of USTF flow exists as well unstable. Finally, circuit design has been built for implementing the new system, showing a good agreement between computer simulations and experimental observations.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2021
