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Understanding of the stability of deterministic and stochastic dynamical systems 
has evolved recently from a traditional grounding in the system’s normal modes 
to a more comprehensive foundation in the system’s propagator and especially in 
an...

Classical stability theory is extended to include growth processes. The central role of the nonnormality of the linearized dynamical system in the stability problem is emphasized, and a generalized, stability theory is constructed that is applicable to...

An extension of classical stability theory to address the stability of perturbations to time-dependent systems is described. Nonormality is found to play a central role in determining the stability of systems governed by nonautonomous operators associated...