Cañada, A.(ed.) et al., Ordinary differential equations. Vol. II. Amsterdam: Elsevier/North Holland (ISBN 0-444-52027-9/hbk). Handbook of Differential Equations, 239-357 (2005).
The paper, a part of the handbook of differential equations, is a substantial survey on dynamical systems in ordered spaces. The main focus is on the asymptotical behaviour of monotone dynamical systems. The paper contains seven chapters organized as follows:
0. Introduction; 1. Strongly order-preserving semiflows; 2. Generic convergence and stability; 3. Ordinary differential equations; 4. Delay differential equations; 5. Monotone maps; 6. Semilinear parabolic equations.
At the end of the paper, 248 references are listed, covering a big part of the existing literature on the subject.