Code：G2B55201 / Instructor：MATSUBARA Masaharu
Course Description
Using their own laptop computers, students will calculate and depict the phenomena of randomness and the fractal nature of chaos to further their
understanding. In particular, students will interpret the high sensitivity to initial conditions that characterize chaos by graphically observing
phenomena that change considerably as a result of subtle changes to the initial values. Finally, as part of a project conducted in groups of at least two
students, students will determine a chaos phenomenon that exists in society and explain it using chaos theory.
Keywords
chaos, fractal, stochastic, random,
determinism, group work
Course Plan
Lectures will be given on the following topics. Practical exercises will be conducted as necessary.
Sessions 1, 2. Basic formula for the Mandelbrot set
Sessions 3, 4. Methods for calculating the Mandelbrot set/Julia set
Sessions 5, 6. Programming a Julia set
Sessions 7, 8. Calculating values using the calculus of finite differences (1)
Sessions 9, 10. Calculating values using the calculus of finite differences (2)
Sessions 11, 12. Numerical calculation of the motion of a double pendulum using the calculus of finite differences
Sessions 13, 14. Observing the motion of a double pendulum
Session 15. Flow instability/turbulence; class questionnaire (conducted in the last 15 minutes)
Each session is delivered over two periods (lecture and practice). However, topic 8 (Flow instability/turbulence) is delivered in one period.
