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Complex network systems - 5AMAC562

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  • Number of hours

    • Lectures : 27.0
    • Tutorials : -
    • Laboratory works : -
    • Projects : -
    • Internship : -
    ECTS : 0.0
  • Officials : Laurent LEFEVRE

Goals

This course in an introduction to complex dynamical systems defined on networks. It aims at bringing to the students an overview of existing technological, social and natural complex systems, together with related issues and problems. Then, the course will provide the students with basic tools for the analysis and deeper understanding of such networks. Students will be asked to gain an operational knowledge by solving periodically problem sets trough supervised work and computer simulations. They will acquire a more advanced knowledge and experience by developing small group projects and paper reviews. Papers and projects topics to be covered will reflect student interest.

Content

• Technological and information networks (internet, grids, information networks, www, etc.)
• Social and biological networks (metabolic, genetic, neural, ecological)
• Mathematics for complex networks (graphs, paths, components, connectivity, etc.)
• Measures and metrics (centrality, communities, assortativity, degree distributions, etc.)
• Algorithms for complex networks(graph generation, network analysis, storing network data, graphs algorithms, models of network formation, etc.)
• Dynamical models defined on networks (cellular automata models, percolation, epidemics, voting models, evolutionary games, traffic models, market models, population models)
• Mean field approaches, bifurcations and chaotic behaviours
• Stability, instability and tipping points /early warnings
• Observation, control and synchronization

Prerequisites

The course is intended for any master students in applied science with an undergraduate knowledge in calculus, probability and programming(with any programmation language).

Tests

  • Specific credits: this course brings 4.0 ECTS to students in 5A - IR&C

report on exercices and project (50%)
final oral exam (with documents, about the project and course) (50%)
retaking examination (written, without any document)

Calendar

The course exists in the following branches:

see the course schedule for 2021-2022

Additional Information

Course ID : 5AMAC562
Course language(s): FR

The course is attached to the following structures:

  • Team Automatic and Signal processing

You can find this course among all other courses.

Bibliography

Networks, second edition, Mark Newman, Oxford Univ. Press, 2018
Networks, Crowds and Markets, David Easley and Jon Kleinberg, Cambridge Univ. Press, 2010
Dynamical Processes on Complex Networks, Barrat et al., Cambridge Univ. Press, 2008
Lectures on Complex Networks, Sergey Dorogovtsev, Oxford Univ. Press, 2010
Nonlinear dynamics and Chaos, Steven Strogratz, CRC Press, 2018

Related classes elsewhere:
Univ of Michigan, Mark Newman, Complex Systems / Network Theory
Stanford, Matthew Jackson, Social and Economic Networks: Models and Analysis
UC Davis, Raissa D’Souza, Network Theory and Applications

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Date of update April 7, 2021

Université Grenoble Alpes