State space decomposition for non-autonomous dynamical systems

DOI10.1017/S0308210510000661zbMath1263.37028arXiv0903.4617OpenAlexW2963852182MaRDI QIDQ3097988

Xiao-Peng Chen, Jin-qiao Duan

Publication date: 10 November 2011

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4617

zbMATH Keywords

non-autonomous dynamical systemsnon-autonomous ordinary differential equationsstate space decompositionConley-type decomposition

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamics induced by flows and semiflows (37C10) Continua theory in dynamics (37B45) Topological dynamics of nonautonomous systems (37B55)

Related Items

Morse Decomposition of Attractors for Non-autonomous Dynamical Systems, Global synchronising behavior of evolution equations with exponentially growing nonautonomous forcing, Forward attraction of pullback attractors and synchronizing behavior of gradient-like systems with nonautonomous perturbations, Spectral decomposition theorem in equicontinuous nonautonomous discrete dynamical systems, The Selgrade decomposition for linear semiflows on Banach spaces