Conservative perturbation theory for nonconservative systems.

  title={Conservative perturbation theory for nonconservative systems.},
  author={Tirth Shah and Rohitashwa Chattopadhyay and Kedar S. Vaidya and Sagar Chakraborty},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={92 6},
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… 
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