Dynamics of Delay Differential Equations with Its Applications
1College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410114, China
2School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
3Department of Mathematic, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5 Canada
Dynamics of Delay Differential Equations with Its Applications
Description
In recent decades, delay differential equations have attracted a rapidly growing attention in the field of nonlinear dynamics and have become a powerful tool for investigating the complexities of the real-world problems such as infectious diseases, biotic population, neuronal networks, and even economics and finance. A delay differential equation is a special type of functional differential equation; its evolution involves past values of the state variable and therefore requires knowledge of not only the current state but also of the state a certain time previously. Nowadays, the analysis of nonlinear dynamics of delay differential equations still possesses many new challenges to researchers. When employing delay differential equations to solve practical problems, it is very crucial to be able to completely characterize the dynamical properties of the delay differential equations. This special issue aims at gathering research works focusing on the development of dynamics of delay differential equations with its applications. We invite authors to submit original research articles as well as review articles that reveal various dynamics behavior and their applications of delay differential equations. Potential topics include, but are not be limited to:
- Invariant sets and attractor
- Boundedness analysis
- Multistability, stability, and bifurcation analysis
- Asymptotically analysis and synchronization
- The existence and uniqueness or nonexistence of equilibrium point, periodic solutions, and almost periodic solutions
- Homoclinic orbits and heteroclinic orbits
- Impulsive and stochastic control
- Modeling and simulation analysis
- Numerical computation analysis
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