Dynamical System 2
A.Y. 2018/2019
Learning objectives
Acquire geometrical and symmetry techniques for the study of dynamical systems in finite or infinite dimension.
Expected learning outcomes
Geometrical and symmetry techniques for the study of dynamical systems in finite or infinite dimension.
Lesson period: First semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Responsible
Lesson period
First semester
Course syllabus
The contents of the course change depending on the knowledge and the interests of students. The following is a list of topics studied in the last editions of the course.
· Lie Groups
· The method of characteristics
· The geometrical meaning of a differential equation
· Symmetry and reduction of a differential equation
· Symmetry in variational
· Vector fields and forms
· Differential equations in Pfaff form
· Symmetry of differential equations in the Pfaff formalism
· Frobenius theorem for vector fields
· Frobenius theorem for forms
· Lie Groups
· The method of characteristics
· The geometrical meaning of a differential equation
· Symmetry and reduction of a differential equation
· Symmetry in variational
· Vector fields and forms
· Differential equations in Pfaff form
· Symmetry of differential equations in the Pfaff formalism
· Frobenius theorem for vector fields
· Frobenius theorem for forms
Professor(s)