Bf.38 Chaos and Nonlinear Physics
Contents In this course we attempt to give an introduction to chaos and nonlinear physics in a variety of physical systems. We begin with a qualitative discussion of turbulence in fluids and then move on to the Lorenz equations for atmospheric turbulence, phase space descriptions, attractors, Lyapunov exponents characterizing chaos, etc. Next we discuss nonlinear dynamics in terms of simple maps and discuss the Feigenbaum theory for universal periode doubling. At the end of the course we also try to briefly discuss intermittency, quasiperiodicity, and chaos in Hamiltonian systems.
- Turbulence in fluids
- Onset of chaos
- Phase space description
- The Lorenz model
- Chaos in maps
- The logistic (Feigenbaum) map and period doubling
- Strange attractors and fractals
- Intermittency and chaos
- Quasiperiodicity and chaos
- Regular and irregular motion in Hamiltonian systems
Text-books
Selected material and notes
Evaluation
Pass/fail
Lecturer
Hans Fogedby
Points/ECTS-credits
1/5
Semester
Spring 2002 and, probably, spring 2004.