title: Conservative perturbation theory for nonconservative systems.
abstract: In this paper, we show how to use canonical perturbation theory for dissipative dynamical systems capable of showing limit-cycle oscillations. Thus, our work surmounts the hitherto perceived barrier for canonical perturbation theory that it can be applied only to a class of conservative systems, viz., Hamiltonian systems. In the process, we also find Hamiltonian structure for an important subset of Liénard system-a paradigmatic system for modeling isolated and asymptotic oscillatory state. We discuss the possibility of extending our method to encompass an even wider range of nonconservative systems.
authors.affiliation: Department of Physics, Indian Institute of Technology Madras, Chennai, Tamilnadu 600036, India.
authors.forename: Tirth
authors.initials: T
authors.lastname: Shah
authors.affiliation: Department of Physics, Indian Institute of Technology Kanpur, Uttar Pradesh 208016, India.
authors.forename: Rohitashwa
authors.initials: R
authors.lastname: Chattopadhyay
authors.affiliation: Department of Biomedical Engineering and Mechanics, Virginia Tech, Blacksburg, Virginia 24061, USA.
authors.forename: Kedar
authors.initials: K
authors.lastname: Vaidya
authors.affiliation: Department of Physics, Indian Institute of Technology Kanpur, Uttar Pradesh 208016, India.|Mechanics and Applied Mathematics Group, Indian Institute of Technology Kanpur, Uttar Pradesh 208016, India.
authors.forename: Sagar
authors.initials: S
authors.lastname: Chakraborty