Asymptotics of the behavior of a strictly pseudoconvex surface along its chains

This paper contains estimates for the length of the interval of definition of a normal parameter on a chain for some special surfaces, and a study of the asymptotic behavior of a strictly pseudoconvex surface under displacement of the center of the expansion along a chain. In particular it is shown that the equation giving a surface in circular normal form in a neighborhood of a chain that makes a nonzero angle with the complex tangent plane cannot be continued to any neighborhood of the endpoints of the normal parameter on the chain.