Symbolic Analysis of NMR-Laser Chaos

For the extended Bloch-type model of the NMR laser, a binary partition is determined directly from tangencies between forward and backward foliations of the Poincar6 map. Both forward and backward foliations are well ordered according to their symbolic sequences as those of the H6non map with a positive Jacobian. Based on the symbolic dynamics of the H6non map the admissibility condition for allowed sequences is derived and admissible periods are obtained, among which some were formally regarded as forbidden. The allowed periodic orbits are numerically verified. Allowed chaotic sequences are also constructed.