Eur. Phys. J. D 50, 75-80 (2008)
https://doi.org/10.1140/epjd/e2008-00201-5

Chaotic dynamics of a parametrically modulated Josephson junction with quadratic damping

¹ Department of Physics, Hunan University of Science and Technology, Xiangtan, 411201, P.R. China
² School of Computer and Communication, Hunan University, Changsha, 410082, P.R. China

Corresponding author: ^a wiselfhhy@gmail.com

Received: 18 January 2008
Revised: 30 July 2008
Published online: 30 October 2008

Abstract

We study the chaotic dynamics of a parametrically modulated Josephson junction with quadratic damping. The Melnikov chaotic criteria are presented. When the perturbation conditions cannot be satisfied, numerical simulations demonstrate that the system can step into chaos via a quasi-periodic route with the increasing of the dc component of the modulation. However, it is numerically demonstrated that adding a feedback to the system can effectively suppress the chaos.