1 INTRODUCTION
2 MODELS
2.1 Dynamic Instability in the Most Luminous Models
3 RESULTS
3.1 Properties of the Static Models
3.2 Analysis of Non-linear Models
3.3 Non-linear Period Changes
3.4 Dynamical Phenomena – Period Doubling Domains
3.5 Dynamical Phenomena – Modulation of Pulsation
3.6 Dynamical Phenomena – Double-periodic Pulsation
3.7 Shape of the Radius Variation Curves
4 DISCUSSION
5 SUMMARY