Nonautonomous Dynamical Systems: Theory, Methods, and Applications

Nonautonomous dynamical systems have been studied for some time and present unique mathematical challenges because of the lack of invariant sets and other structures that are vital for many analyses of autonomous dynamical systems. Recently, they have attracted wider attention as generalizations of the classical concept of slow passage through bifurcation into more general nonautonomous variation of bifurcation parameters. The goal of this Focus Issue is to review recent progress and stimulate further work on potentially applicable theory, methods, and applications of nonautonomous dynamics. The methods considered can include analytical, statistical, machine learning and numerical methods, while the applications may be in any sphere of modelling.

Guest Editors: Peter Ashwin, Ulrike Feudel, Michael Ghil, Klaus Lehnertz, Juan-Pablo Ortega, and Martin Rasmussen