We consider a standard map with a continuous, piecewise-linear forcing term. The piecewise linearity allows for an extremely accurate calculation of the classical manifolds and associated homoclinic tangles. A simple coding for the periodic orbits is another useful property of the map. The quantized map is then studied and the resolution of stable and unstable invariant classical structures by the quantum eigenstates is assessed.

• Received 17 December 1990

DOI:https://doi.org/10.1103/PhysRevA.43.3183