13031 - Pattern Formation and Nonlinear Dynamics II Modulübersicht

Module Number: 13031 - module is no longer offered from SS 2025
Module Title:Pattern Formation and Nonlinear Dynamics II
  Strukturbildung und nichtlineare Dynamik II
Department: Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology
Responsible Staff Member:
  • Prof. Dr. rer. nat. habil. Bestehorn, Michael
Language of Teaching / Examination:English
Duration:1 semester
Frequency of Offer: On special announcement
Credits: 6
Learning Outcome:After successfully completing the module, students are familiar with advanced aspects of pattern formation within theoretical and phenomenological aspects. Intuition, classification and integration of physical insight was provided along the subject of the module.In addition, social competences as teamwork and persistence, but also individual competences as accuracy, curiosity, and working on one's own initiative have been supported.
Contents:Convection instability, reaction-diffusion equations, description of spatio-temporal pattern formation, method of reduced equations, Swift-Hohenberg equation, dynamics of liquid films.
Recommended Prerequisites:Knowlegde of the content of module
  • 13030: Pattern Formation and Nonlinear Dynamics I
Mandatory Prerequisites:None
Forms of Teaching and Proportion:
  • Lecture / 2 Hours per Week per Semester
  • Exercise / 2 Hours per Week per Semester
  • Self organised studies / 120 Hours
Teaching Materials and Literature:
  • H. Haken, Synergetik, Advanced Synergetics
  • M. Bestehorn, Hydrodynamik und Strukturbildung
Further literature will be provided during the course.
Module Examination:Prerequisite + Final Module Examination (MAP)
Assessment Mode for Module Examination:Prerequisite:
  • Successful completion of exercise assignments (75% must be reached)
Final module examination:
  • Oral examination, 30-45 min.
Evaluation of Module Examination:Performance Verification – graded
Limited Number of Participants:None
Part of the Study Programme:
  • no assignment
Remarks:
  • Study programme Physics M.Sc.: Compulsory elective module in complex „Physical Specialization with Theoretical Focus“, topic area „Theory, Simulation and further topics“
  • Study programme Applied Mathematics M.Sc.: Compulsory elective module in complex „Applications“, field  „Physics“
Self organised studies:
  • re-work of the lecture
  • treatment of homework
  • literature work
Module Components:
  • Lecture: Pattern Formation and Nonlinear Dynamics II (2 Hours per Week per Semester)
  • Accompanying exercises: Pattern Formation and Nonlinear Dynamics II (2 Hours per Week per Semester)
  • Related examination
Components to be offered in the Current Semester:
  • no assignment
Follow-up Module/s: Phase-out module since: 14.01.2025
  • without Follow-up Module/s