Research Topic

Mathematical modeling and optimization for real life phenomena

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,
- multistability,
- 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


Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.

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,
- multistability,
- 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


Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.

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Submission Deadlines

16 February 2022 Manuscript

Participating Journals

Manuscripts can be submitted to this Research Topic via the following journals:

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Topic Editors

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Submission Deadlines

16 February 2022 Manuscript

Participating Journals

Manuscripts can be submitted to this Research Topic via the following journals:

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