ENEE 789O/PHYS 715: Chaotic Dynamics

Course Goals:

The course teaches students the theory and application of chaos in dynamical systems.

Course Prerequisite(s):

Mathematical background needed includes matrices, stability, ordinary differential equations, Fourier series and Fourier transforms.

Topics Prerequisite(s):

Textbook(s)

'Chaos in Dynamical Systems' by E.Ott (Cambridge University Press, Second Edition, 2002)

Reference(s):

'Chaos: An Introduction to Dynamical Systems' by K.Alligood, T.Sauer and J.A.Yorke (Springer)

Core Topics:

  • strange attractors
  • Lyapunov exponents
  • Bifurcations of chaotic systems
  • Quasiperiodicity
  • Chaos in Hamiltonian systems
  • Control and synchronism of chaos
  • Applications in physics, engineering and biology.

Optional Topics:

  • Fluid mixing
  • Fractal dimension spectra
  • Shadowing
  • Chaotic transients
  • Fractal basin boundaries

Course Structure:

Two regularly meeting lectures per week during the semester.

Grading Method:

| Dept. of Electrical & Computer Engineering | A. James Clark School of Engineering | University of Maryland |