2026
Complex Systems
Name: Complex Systems
Code: MAT10147D
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area:
Mathematics
Teaching languages: Portuguese
Languages of tutoring support: Portuguese
Sustainable Development Goals
Learning Goals
To search principles and causes and to state general which governs the complex phenomena.
To characterize the complex systems behavior using topological dynamics and symbolic dynamics.
To identify, characterize and to compute topological invariants.
To implement in real systems some of the methods developed in the course.
To characterize the complex systems behavior using topological dynamics and symbolic dynamics.
To identify, characterize and to compute topological invariants.
To implement in real systems some of the methods developed in the course.
Contents
Iteration. Discrete dynamical systems.
Continuous dynamical systemsand its reduction to the discrete dynamical systems.
Thermodynamic formalismo
Graphs. Generalized Kirchoff laws. Potential theory. Complex networks.
The methods of analytical mechanics. Generalized coordinates. The symbolic method.
The computation.The experimental method. Measures of complexity. Classification of the complex systems.
The real systems, physical,chemical and biological. The language, the economy and other social systems.
Continuous dynamical systemsand its reduction to the discrete dynamical systems.
Thermodynamic formalismo
Graphs. Generalized Kirchoff laws. Potential theory. Complex networks.
The methods of analytical mechanics. Generalized coordinates. The symbolic method.
The computation.The experimental method. Measures of complexity. Classification of the complex systems.
The real systems, physical,chemical and biological. The language, the economy and other social systems.
Teaching Methods
Lecturing
Articulation of the knowledge acquisition through debate and proposed exercises.
Experimental practice.
Evaluation with proposed exercises and final essay
Articulation of the knowledge acquisition through debate and proposed exercises.
Experimental practice.
Evaluation with proposed exercises and final essay
Accreditations and Certifications
