The Two-Dimensional Attractor of a Differential Equation with State-Dependent Delay

By Tibor Krisztin, Ovide Arino. 2001

66 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/b8c453bdde55d85b3c9375dfd596b08a8464ffba

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Shigui Ruan
2. Roger D. Nussbaum
3. John Mallet-Paret
4. Jianhong Wu
5. Qingwen Hu
6. Pierre Magal
7. Zhihua Liu
8. Emilia M. Fridman

In Computer Networks and Communications

1. Shigui Ruan
2. John Mallet-Paret
3. Jianhong Wu
4. Roger D. Nussbaum
5. Wan-Tong Li
6. Xingfu Zou
7. Guo Lin
8. Junjie Wei

In Control and Systems Engineering

1. John Mallet-Paret
2. Roger D. Nussbaum
3. Shigui Ruan
4. Jianhong Wu
5. Qingwen Hu
6. Pierre Magal
7. Zhihua Liu
8. Emilia M. Fridman

Citations in the corpus

• Global Hopf bifurcation for differential equations with state-dependent delay (2010, background): “See [3,7,23,26–31,34–36,39–41,43] for other relevant studies on periodic solutions of state-dependent delay differential equations.”
• DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS (2006, background): “…(2003), Kuang and Smith (1992a, 1992b), Mallet-Paret et al. (1994), Magal and Arino (2000), Walther (2002) for existence of periodic solutions; to Krisztin and Arino (2001) for the existence of two dimensional attractors; to Louihi et al. (2002) for semigroup property of the solutions; to Bartha…”
• Boundary layer phenomena for differential-delay equations with state-dependent time lags: III (2003, background): “For further work on state-dependent and variable delay problems see, for example, the articles in [9], the many references in [22], and as well [31–35].”