On the occurrence of multiscroll and multistable dynamics in a star network of four nonlinearly coupled self-driven Duffing–Rayleigh oscillators

• Published in: The European physical journal. ST, Special topics Vol. 234; no. 8; pp. 1553 - 1571
• Main Authors: Venkatesh, Jayaraman, Ramadoss, Janarthanan, Chedjou, Jean Chamberlain, Jacques, Kengne, Rajagopal, Karthikeyan
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2025; Springer Nature B.V
• Subjects: Applications; Artificial intelligence; Atomic; Classical and Continuum Physics; Condensed Matter Physics; Coupling; Dynamical Analysis of Nonlinear Physical Systems: Mathematical Modeling; Fixed points (mathematics); Hopf bifurcation; Initial conditions; Materials Science; Measurement Science and Instrumentation; Microwave oscillators; Molecular; Numerical integration; Optical and Plasma Physics; Oscillators; Physics; Physics and Astronomy; Regular Article

The study of oscillator networks is currently the subject of intensive efforts for researchers working in the field of non-linear science. In this article, we are interested in the collective behavior of a star network formed by four mutually coupled Rayleigh–Duffing type oscillators (RDO here after...