Stable periodic motion of a system with state dependent delay
By H. Walther. Differential and Integral Equations, 2002
57 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/f4da9f9c5a45d66a83c9d63d999d2e23836495f9
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
In Control and Systems Engineering
- Shigui Ruan
- Jianhong Wu
- Qingwen Hu
- A. Rezounenko
- Pierre Magal
- Ferenc Hartung
- Zhihua Liu
- Tibor Krisztin
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.”
- A non-local PDE model for population dynamics with state-selective delay: Local theory and global attractors (2006, background): “satellites or robot arms) [8,51], transmission dynamics of infectious diseases [20,29,35,36], hematological disorders [5,38], the dynamics of price adjustment in a single commodity market [5], neural nets [9,10,18,19,30,50].”
- DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS (2006, background): “We refer to Arino et al. (1998), Bartha (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…”
- Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations (2011, unknown): “Many other theoretical works are to be found, for example, [4], [6], [9], [10], [12], [13], [23], [26], [30], [31], [36], [39], [49], [50], [52], [53], [54], [55], [56], and [57].”
- Differential equations with discrete state-dependent delay: Uniqueness and well-posedness in the space of continuous functions (2008, methodology): “For the method of steps in the case of O.D.E.s see e.g. [Walther (2002), Proposition 1].”