Domain-decomposition method for the global dynamics of delay differential equations with unimodal feedback

By G. Röst, Jianhong Wu. Proceedings of the Royal Society A, 2007

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Nicholson's blowflies differential equations revisited: Main results and open problems (2010, background): “For autonomous equation (4) the solution estimates and attracting sets were studied in [33,34].”
On the global attractor of delay differential equations with unimodal feedback (2008, methodology): “We include here the main results of [17] in this direction.”
Map dynamics versus dynamics of associated delay reaction–diffusion equations with a Neumann condition (2010, background): “The more general form (1.1) has also been extensively and intensively studied (e.g. Kuang 1993; Walther 1995; Cooke et al. 1999; Györi & Trofimchuk 1999; Krisztin et al. 1999; Faria 2006; Röst & Wu 2007; Krisztin 2008; Liz & Röst 2009, in press; and references therein).”
On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities (2014, methodology): “Motivated by Röst and Wu [20] where a monostable case is considered, we first use the domain decomposition method to obtain a series of invariant intervals.”