The effects of symmetry breaking on the dynamics of an inertial neural system with a non-monotonic activation function: Theoretical study, asymmetric multistability and experimental investigation

Bertrand Frederick Boui A Boya, Balamurali Ramakrishnan, Joseph Yves Effa, Jacques Kengne and Karthikeyan Rajagopal

Physica A: Statistical Mechanics and its Applications, 2022, vol. 602, issue C

Abstract: Multistability and symmetry breaking have been significantly investigated recently. In this paper, we study the effects of symmetry breaking on the behavior of a particular class of inertial neural systems with a non-monotonic activation function. By introducing a constant term in the nonlinearity of the model, we show that this system presents asymmetric type dynamics marked by the coexistence of chaotic bursting oscillations according to the different membranes of the neurons. We also report some interesting phenomena such as rising voltage peaks, the coexistence of several asymmetric attractors (six, five, four and three), the coexistence of asymmetric bubbles of bifurcation and transient chaos as well. We illustrate the influence of the symmetry breaking parameter by using 2D Lyapunov exponent, plotted for three different values of the symmetry control parameter. We prove that this model owns offset boosting and total amplitude control features. The experimental study is executed based on a microcontroller implementation and the results are in agreement with the numerical analysis.

Keywords: Inertial neural system; Symmetry breaking; Bursting oscillation; Asymmetric multistability; Microcontroller implementation (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437122003351
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:602:y:2022:i:c:s0378437122003351

DOI: 10.1016/j.physa.2022.127458

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().