Nonautonomous Dynamical Systems

By C. Pötzsche. 2010

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Transient dynamics of terrestrial carbon storage: mathematical foundation and its applications (2017, background): “A dynamical system with its input and parameters being time dependent mathematically becomes a nonautonomous system (Kloeden and Rasmussen, 2011).”
Dynamics and Control at Feedback Vertex Sets. I: Informative and Determining Nodes in Regulatory Networks (2013, background): “Indeed additive and parametric noise as well as the skew product structure of stochastic cocycles [3,20], can be subsumed under a regulatory network structure żk = Fk(ω, t, zk, zIk ) (8.”
Weak pullback attractors for stochastic Navier-Stokes equations with nonlinear diffusion terms (2018, background): “, [1–8,12–14,18–21,24,25,28,30,32,33] for the autonomous stochastic equations and [9, 16, 22, 23, 26, 34] for the nonautonomous stochastic equations.”
Review on computational methods for Lyapunov functions (2015, background): “Rather, they can be described by a skew-product ﬂow, see e.g. Rasmussen 2007 [197] or Kloeden and Rasmussen 2011 [137].”
Pullback attractors of non-autonomous stochastic degenerate parabolic equations on unbounded domains (2013, background): “For non-autonomous stochastic PDEs, the reader is referred to [1, 5, 12, 17, 23, 24, 27, 35, 36, 37] for existence of random attractors.”