Integrable approximation of regular islands: The iterative canonical transformation method
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
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 Hreg, 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 integrable approximation in action representation which is then improved in phase space by iterative applications of canonical transformations. This method works for strongly perturbed systems and arbitrary degrees of freedom. We apply it to the standard map and the cosine billiard.
Details
Original language | English |
---|---|
Article number | 062901 |
Number of pages | 12 |
Journal | Physical Review E |
Volume | 88 |
Issue number | 6 |
Publication status | Published - 2 Dec 2013 |
Peer-reviewed | Yes |
External IDs
Scopus | 84890449300 |
---|---|
ORCID | /0000-0002-7017-3738/work/142254007 |