13030 - Pattern Formation and Nonlinear Dynamics I Modulübersicht

Module Number: 13030 - module is no longer offered from SS 2025
Module Title:Pattern Formation and Nonlinear Dynamics I
  Strukturbildung und nichtlineare Dynamik I
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: Each summer semester odd year
Credits: 6
Learning Outcome:After successfully completing the module, students are acquainted with the basics of pattern formation within theoretical and phenomenological aspects. They can use intuition, classification and integration of physical insight along the subject of the module.
In addition, they apply social competences such as teamwork and persistence, but also individual competences as accuracy, curiosity, and working on one's own initiative have been supported.
Contents:
  • Phase transitions, linear stability analysis
  • Examples from population. dynamics, chemical oscillators
  • Bifurcations, chaos theory
Recommended Prerequisites:
  • Sound knowledge of theoretical physics at or beyond the bachelor level.
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, Synergetics
  • J. Argyris, Exploration of Chaos
  • M. Bestehorn, Hydrodynamik und Strukturbildung
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: Angewandte Mathematik M.Sc.: Compulsory elective module in complex „Anwendungen“,  field „Physik“

Self organised studies:
  • re-work of the lecture
  • treatment of homework
  • literature work
Module Components:
  • Lecture: Pattern Formation and Nonlinear Dynamics I (2 Hours per Week per Semester)
  • Accompanying exercises (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