Mathematical Models and Computation in Discrete Dynamics
1School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
2Louisiana College, USA
3University of Science and Technology of China, China
Mathematical Models and Computation in Discrete Dynamics
Description
Discrete dynamics is an emerging multidisciplinary field of research that encompasses many disciplines such as mathematics, physics, engineering, sociology, and economics. Dynamical systems are associated with a universal truth that everything in nature is continuously changing and evolving with time. These systems are described by different mathematical models whose computations show how the variables of the systems depend on the independent variable with respect to the parameter of time. Â
Discrete dynamical systems are used to solve problems including stability notions (internal or external), change of processes in time, general patterns in outcomes, measurement of controlled and uncontrollable signals or robotic systems, the life of exponential growth or decay and chemical pollution in air or water, etc.
The aim of this Special Issue is to attract original research contributions and comprehensive reviews on mathematical models and computation in discrete dynamics, for example, social networks, chemical networks, and entropy networks. We encourage the submission of theoretical as well as applied investigations on numerical methods for the simulations and analysis of discrete dynamics, topological indices of networks, and entropy of networks.
Potential topics include but are not limited to the following:
- Mathematical models and methods for the analysis of discrete dynamics
- Calculation of entropy, topological indices and energies of networks
- Coding, decoding, and labeling of networks
- Mathematical modeling of complex networks
- Computational analysis of social behavior of massive populations in social networks
- Complex non-linear phenomena
- Chaotic regimes and fractals