https://doi.org/10.1140/epjp/s13360-023-04749-w
Regular Article
Experimental observation of distinct amplitude-modulated bursting in Liénard system
1
Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924, Lodz, Poland
2
Centre for Nonlinear Systems, Chennai Institute of Technology, 600069, Chennai, Tamil Nadu, India
3
Centre for Computational Modeling, Chennai Institute of Technology, 600069, Chennai, Tamil Nadu, India
a kingston.cnld@gmail.com, leo.sahaya-tharsis@p.lodz.pl
Received:
22
September
2023
Accepted:
25
November
2023
Published online:
16
December
2023
In this study, we explore the emergence of amplitude-modulated bursting in a multi-frequency excited Liénard system. Our investigation reveals that the system exhibits distinct patterns of amplitude-modulated bursting for a lower damping value and varying forcing frequencies of the system. Conversely, for a higher damping value with distinct system frequencies, the system exhibits intricate amplitude-modulated bursting accompanied by a variety of bursting oscillations. The discrete patterns of amplitude-modulated bursting arise as a consequence of the dynamic interplay with slowly varying multiple frequency forcing within the system. To gain a deeper understanding of these dynamics, we conduct a comprehensive stability bifurcation analysis. Furthermore, to validate our findings, we perform numerical simulations and corroborate our results through a real-time hardware circuit experiment. This interdisciplinary approach provides valuable insights into the behavior of the Liénard system under multi-frequency excitation, shedding light on its complex dynamical characteristics.
© The Author(s) 2023
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