Unique Periodic Orbits for Delayed Positive Feedback and the Global Attractor

By Tibor Krisztin, H. Walther. 2001

78 citations recorded by the source corpus.

Subfields: Computer Networks and Communications

View Paper: https://www.semanticscholar.org/paper/cfc696ed647022a86adbf8c0a38ffcb60ab67940

How researchers see this paper

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In Computer Networks and Communications

1. Eduardo Liz
2. Gergely Rost
3. Jianhong Wu
4. Ovide Arino
5. Tibor Krisztin
6. Xingfu Zou
7. Shigui Ruan
8. Wan-Tong Li

Citations in the corpus

• Domain-decomposition method for the global dynamics of delay differential equations with unimodal feedback (2007, background): “The global dynamics, structure of the global attractor, existence and properties of periodic orbits have been discussed in details for the monotone positive and the monotone negative feedback cases, see Aschwanden, Schulze-Halberg & Stoffer (2006), Walther (1995), Krisztin, Walther & Wu (1999), Kris”
• The Two-Dimensional Attractor of a Differential Equation with State-Dependent Delay (2001, background): “We mention that related results on attractors for differential equations with constant delay are contained in [11, 31, 32 ].”
• On the global attractor of delay differential equations with unimodal feedback (2008, methodology): “Our theorems then are illustrated by numerical examples using Nicholson’s blowflies equation and the Mackey-Glass equation.”