Integrable approximation of regular islands: the iterative canonical transformation method.

@article{Lbner2013IntegrableAO,
  title={Integrable approximation of regular islands: the iterative canonical transformation method.},
  author={Clemens L{\"o}bner and Steffen L{\"o}ck and Arnd B{\"a}cker and Roland Ketzmerick},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={88 6},
  pages={062901}
}
Generic Hamiltonian systems have a mixed phase space, where classically disjoint regions of regular and chaotic motion coexist. We present an iterative method to construct an integrable approximation H(reg), which resembles the regular dynamics of a given mixed system H and extends it into the chaotic region. The method is based on the construction of an… CONTINUE READING