Regular and chaotic motion of coupled rotators

Mario Feingold, Asher Peres

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


We consider a classical Hamiltonian H = Lz+Mz+LxMx, where the components of L and M satisfy Poisson brackets similar to those of angular momenta. There are three constants of motion: H, L2 and M2. By studying Poincaré surfaces of section, we find that the motion is regular when L2 or M2 is very small or very large. It is chaotic when both L2 and M 2 have intermediate values. The interest of this model lies in its quantization, which involves finite matrices only.

Original languageEnglish
Pages (from-to)433-438
Number of pages6
JournalPhysica D: Nonlinear Phenomena
Issue number3
StatePublished - 1 Jan 1983
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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