This is a corrected and annotated version of the author's seminal PhD thesis, in which two forms of asymptotically universal structure were presented and explained for area-preserving maps. Area-preserving maps are the discrete-time analogue of two degree-of-freedom Hamiltonian systems, and much of their dynamics is reviewed in Chapter 1. The asymptotically universal structure is found on small scales in phase-space and long time-scales. Chapter 2 presents a brief survey of the use of the idea of renormalization in physics. The first universal structure, described in Chapter 3, appears at the...
This is a corrected and annotated version of the author's seminal PhD thesis, in which two forms of asymptotically universal structure were presented ...
