2001/01/04 by Alexander Rauh
Physics and Astronomy · #physics.flu-dyn
published as Nonlinear Phenomena in Complex Systems, 2:1 (1999) 78-82 · Lecture given at 3rd International Summer School/Conference, Let's face chaos through nonlinear dynamics, Maribor, Slovenia,24 June-5 July 1996
arxiv created 2001/01/04 · arxiv updated 2009/12/01
A generalized Lyapunov method is outlined which predicts global stability of a broad class of dissipative dynamical systems. The method is applied to the complex Lorenz model and to the Navier-Stokes equations. In both cases one finds compact domains in phase space which contain the omega sets of all trajectories, in particular the fixed points, limit cycles, and strange attractors.