https://doi.org/10.1140/epjp/s13360-020-00754-5
Regular Article
Complex dynamics of a modified four order Wien-bridge oscillator model and FPGA implementation
1
Unité de recherche de Matière Condensée d’Electronique et de Traitement du Signal (URMACETS), Faculty of Sciences, University of Dschang, P.O.Box 67, Dschang, Cameroon
2
Research Group on Experimental and Applied Physics for Sustainable Development (EAPhySuD), P.O.Box 412, Dschang, Cameroon
3
Department of Computer Engineering, National Higher Polytechnic Institute, The University of Bamenda, P.O.Box 39, Bambili, Cameroon
4
Higher Technical Teachers Training College, The University of Bamenda, P.O. Box 39, Bambili, Cameroon
Received:
11
April
2020
Accepted:
4
September
2020
Published online:
25
September
2020
This paper presents a novel fourth-order autonomous flux controlled memristive Wien-bridge system. Standard nonlinear diagnostic tools such as bifurcation diagram, graphs of largest Lyapunov exponent, Lyapunov stability diagram, phase space trajectory and isospike diagram are used to characterize dynamics of the system. Results show that the system presents hidden attractors with infinite equilibrium points known as line equilibrium for a suitable set of its parameters. The system also exhibits striking phenomenon of extreme multistability. Through isospike and Lyapunov stability diagram, spiral bifurcation leading to a center hub point is observed in a Wien-bridge circuit for the first time and the Field Programmable Gate Array -based implementation is performed to confirm its feasibility.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
