American Research Journal of Mathematics         cover
Open Access

American Research Journal of Mathematics

ISSN (Online): 2378-704X

DOI: 10.46568/arjm

Research Article Vol. 7, Issue 1 2025 Open Access

Permanent Oscillation for a System of n Coupled Unbalance Damped Duffing Oscillators with Delays

Chunhua Feng

Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL, 36104, USA.

Chunhua Feng, “Permanent Oscillation for a System of n Coupled Unbalance Damped Duffing Oscillators with Delays”, American Research Journal of Mathematics, Vol 7, no. 1, 2021, pp. 1-13

Abstract

n this paper, a system of n coupled damped Duffing resonators driven by m van der Pol oscillators with delays is studied. Some sufficient conditions to ensure the permanent oscillation for the system are established. Computer simulation is given to demonstrate the result of our criterion.