• Nonlinear resonance in Dufﬁng oscillator with ﬁxed and integrative time-delayed feedbacks

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/078/03/0347-0360

• # Keywords

Dufﬁng oscillator; nonlinear resonance; time-delayed feedback; hysteresis.

• # Abstract

We study the nonlinear resonance, one of the fundamental phenomena in nonlinear oscillators, in a damped and periodically-driven Dufﬁng oscillator with two types of time-delayed feedbacks, namely, ﬁxed and integrative. Particularly, we analyse the effect of the time-delay parameter 𝛼 and the strength 𝛾 of the time-delayed feedback. Applying the perturbation theory we obtain a nonlinear equation for the amplitude of the periodic response of the system. For a range of values of 𝛾 and 𝛼, the response amplitude is found to be higher than that of the system in the absence of delayed feedback. The response amplitude is periodic on the parameter 𝛼 with period $2\pi /\omega$ where 𝜔 is the angular frequency of the external periodic force. We show the occurrence of multiple branches of the response amplitude curve with and without hysteresis.

• # Author Affiliations

1. Department of Physics, Sri K.G.S. Arts College, Srivaikuntam 628 619, India
2. School of Physics, Bharathidasan University, Thiruchirapalli 620 024, India

• # Pramana – Journal of Physics

Volume 95, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019