Navigation

19D061UND - Introduction to nonlinear dynamics

Course specification
Course title Introduction to nonlinear dynamics
Acronym 19D061UND
Study programme Electrical Engineering and Computing
Module Nanoelectronics and Photonics
Type of study doctoral studies
Lecturer (for classes)
  • Aleksandra Maluckov
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
      ESPB 9.0 Status elective
      Condition -
      The goal An introduction to, and application of, analytical, numerical, and experimental methods for problems in nonlinear dynamics.
      The outcome Preparation of postgraduate students for independent scientific research and practical application of acquired knowledge.
      Contents
      Contents of lectures Fundamental concepts of evolution and stability: deterministic dynamics, hyperbolicity, bifurcations, and regular and chaotic motion. Hamiltonian and dissipative systems: standard mapping, KAM theorem, attractors, intermittency, and turbulence. Introduction to soliton theory. Applications chosen by the student and mentor: nonlinear electrodynamics, optical solitons, quantum chaos.
      Contents of exercises Numerical simulations of simple nonlinear phenomena in a selected field.
      Literature
      1. S.H. Strogatz, Nonlinear Dynamics and Chaos: With applications to Physics, Biology, Chemistry and Engeering (Perseus Books Publishing, 1994) (Original title)
      2. M.A. Lieberman, Regular and Chaotic Dynamics, A.J. Lichtenberg (Springer/Verlag, NY, 1992) (Original title)
      3. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chos (Springer, 2000) (Original title)
      4. M. Tabor, Nonintegrable systems and chaos (Wiley, NY, 1989) (Original title)
      5. J. Guckenheimer, Ph. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, 1992). (Original title)
      Number of hours per week during the semester/trimester/year
      Lectures Exercises OTC Study and Research Other classes
      8
      Methods of teaching lectures
      Knowledge score (maximum points 100)
      Pre obligations Points Final exam Points
      Activites during lectures Test paper
      Practical lessons Oral examination 50
      Projects
      Colloquia
      Seminars 50