Some Application of Generalized Stability Theory to Climate Dynamics I

These lectures review a set of ideas and approaches to climate theory based broadly on stochastic methods and specifically on the non-normality of the linear system underlying perturbation dynamics in both certain and uncertain systems. Because the term non-normal is imprecise in its connotation, the term Generalized Stability Theory is used for this approach. Areas to be covered are i) The concept of stability of a statistical quantity with application to sensitivity of storm track statistics. ii) The concept of stability of uncertain systems with application to climate forecast. iii) The concept of structural stability of turbulent systems with application to jet vacillation. iv) The concept of the intrinsic non-normality of time dependent systems with application to the statistical stability of dynamical systems.