2024
Dynamic Networks
Name: Dynamic Networks
Code: MAT11693D
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area:
Mathematics
Teaching languages: Portuguese
Languages of tutoring support: Portuguese, English
Regime de Frequência: B-learning
Sustainable Development Goals
Learning Goals
The aim of this course is to have knowledge of some recent advances in the study of dynamic networks,
whose analysis has become an important subject for interdisciplinary study. The networks with dynamic
elements at the vertex serve as a model in several natural systems. We can observe natural examples of
complex networks on the internet, world-wide-web, electrical circuits, networks of airports, telephone
networks, networks of scientific collaboration (co-authors), neural networks, social networks, biological
networks and economic networks.
It is intended to:
- Develop a general formalism that is applicable across all areas
- Understand the overall behavior of the network
- Understand the extent to which the dynamics of individual systems and to what extent the structure of the
network are responsible for the overall behavior
-Gain the ability to apply theory to specific networks and predict their behavior
whose analysis has become an important subject for interdisciplinary study. The networks with dynamic
elements at the vertex serve as a model in several natural systems. We can observe natural examples of
complex networks on the internet, world-wide-web, electrical circuits, networks of airports, telephone
networks, networks of scientific collaboration (co-authors), neural networks, social networks, biological
networks and economic networks.
It is intended to:
- Develop a general formalism that is applicable across all areas
- Understand the overall behavior of the network
- Understand the extent to which the dynamics of individual systems and to what extent the structure of the
network are responsible for the overall behavior
-Gain the ability to apply theory to specific networks and predict their behavior
Contents
1. Qualitative theory of graphs
2. Understanding the basic theory of chaotic dynamical systems and stability theory
3. Relationship between the dynamic and the network structure
4. Relationship between dynamics local and global
5. Synchronization of networks
6. Spectral analysis of networks
7. Specific properties of different types of networks
2. Understanding the basic theory of chaotic dynamical systems and stability theory
3. Relationship between the dynamic and the network structure
4. Relationship between dynamics local and global
5. Synchronization of networks
6. Spectral analysis of networks
7. Specific properties of different types of networks
Teaching Methods
A structured lecture, problem solving and application with examples of real networks. Continuous
evaluation in theoretical-practical classes, supplemented by individual work and / or an exam.
evaluation in theoretical-practical classes, supplemented by individual work and / or an exam.
Teaching Staff
- Maria Clara Canotilho Grácio [responsible]
Certificações
