Finding the Hannay angle in dissipative oscillatory systems via conservative perturbation theory.

  title={Finding the Hannay angle in dissipative oscillatory systems via conservative perturbation theory.},
  author={Rohitashwa Chattopadhyay and Tirth Shah and Sagar Chakraborty},
  journal={Physical review. E},
  volume={97 6-1},
Usage of a Hamiltonian perturbation theory for a nonconservative system is counterintuitive and, in general, a technical impossibility by definition. However, the time-independent dual Hamiltonian formalism for the nonconservative systems has opened the door for using various conservative perturbation theories for investigating the dynamics of such systems. Here we demonstrate that the Lie transform Hamiltonian perturbation theory can be adapted to find the perturbative solutions and the… 
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