About this Research Topic
Mathematical modeling of real life phenomena is a powerful tool in analyzing and describing their dynamical behavior. These models can be optimized and controlled using appropriate optimization methods and optimal control theory. Different characterization techniques are used to explain a real natural phenomenon by numerical simulations or experimental approximations.
In this Research Topics we aim to gather recent developments with promising future perspectives on mathematical models for real life phenomena. We are also interested in optimization methods and optimal control theory applied to mathematical models of real life phenomena.
We are particularly interested in the following topics:
- modeling with systems of ordinary differential equations and partial differential equations,
- stability analysis,
- complex networks,
- optimization methods,
- multiobjective optimization,
- optimal control problems,
- chaotic systems,
- piecewise linear systems,
- control of multistability.
Keywords: Optimal control, Complex network, Multistability, Chaotical behavior, Nonlinearity, Piecewise Linear Systems, Phenomenological behavior, Multi-Agents Systems, Agent Based Model
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