Title: An analogue circuit to study the forced and quadratically damped Duffing oscillator

Authors: Udayprakash Raghunath Singh; Ghanshyam Purohit; Anjali Sharma; Vinod Patidar

Addresses: Department of Electronics and Communication Engineering, Sir Padampat Singhania University, Bhatewar, Udaipur 313-601, Rajasthan, India ' Department of Physics, Sir Padampat Singhania University, Bhatewar, Udaipur 313-601, Rajasthan, India ' Department of Physics, Sir Padampat Singhania University, Bhatewar, Udaipur 313-601, Rajasthan, India ' Department of Physics, Sir Padampat Singhania University, Bhatewar, Udaipur 313-601, Rajasthan, India

Abstract: In this communication we study the forced and quadratically damped Duffing oscillator system experimentally through an analogue circuit. For this purpose we design a circuit and observe its dynamical behaviour under various sets of control parameters and also compare the experimental results with the numerical simulation results.

Keywords: nonlinear damping; Duffing oscillator; chaos; periodic attractor.

DOI: 10.1504/IJNDC.2017.083630

International Journal of Nonlinear Dynamics and Control, 2017 Vol.1 No.1, pp.87 - 96

Received: 14 Feb 2015
Accepted: 13 Nov 2015
Published online: 13 Apr 2017 *