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Nichtlineare Dynamik und komplexe Systeme 1

PH2027Elective Modules5 ECTSEnglishwinter semesterStudiengangsbündel Professional Profile Physik
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You learn the fundamental concepts of nonlinear dynamical systems: how cooperative phenomena such as bistability, self-sustained oscillations, and deterministic chaos arise from nonlinearities. In the end you will be able to perform phase-space analyses, describe stability and bifurcations, and characterize simple chaotic attractors with suitable measures.

What you will be able to do

  • Explain the geometric approach to dynamical systems
  • Describe concepts of stability and bifurcations
  • Carry out phase-space analyses with software
  • Apply numerical continuation for 1- and 2-dimensional bifurcation analyses
  • Explain essential routes to low-dimensional deterministic chaos
  • Characterize chaotic dynamics with invariant measures

What the module consists of

  • VorlesungPresentation of thematic content with disciplinary cross-references and integration into scientific discourse
  • ÜbungDeepening through problem examples and use of modern analysis programs; practicing independent analytical skills

Teaching method

  • Thematisch strukturierte VorlesungShows universal concepts of nonlinear dynamics and fosters analytical-physical thinking through discussions
  • Praktische Übungen mit SoftwareDeepens the lecture content and trains independent application and explanation of what has been learned

Dates

LectureNichtlineare Dynamik und komplexe Systeme 1

  • Fri12:00–14:002502, Physik Hörsaal 2 (5101.EG.502)
    15× · 16.10.–05.02.
    • 16.10.
    • 23.10.
    • 30.10.
    • 06.11.
    • 13.11.
    • 20.11.
    • 27.11.
    • 04.12.
    • 11.12.
    • 18.12.
    • 08.01.
    • 15.01.
    • 22.01.
    • 29.01.
    • 05.02.

ExerciseÜbung zu Nichtlineare Dynamik und komplexe Systeme 1

  • Fri14:00–16:00PH 2271, Seminarraum (5101.EG.271)
    15× · 16.10.–05.02.
    • 16.10.
    • 23.10.
    • 30.10.
    • 06.11.
    • 13.11.
    • 20.11.
    • 27.11.
    • 04.12.
    • 11.12.
    • 18.12.
    • 08.01.
    • 15.01.
    • 22.01.
    • 29.01.
    • 05.02.

From the current semester, not binding.

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Official page in TUMonline · Details are not binding.