Nonlinear dynamics and chaos in this course is a basic course for first-year undergraduate students majoring in science and engineering as well as graduate students who begin to engage in research in this field. The main content of this course is extensive use of computing tools, Internet and laboratory experiments. Although their previous background in physics and mathematics may be limited, our experience shows that with the use of some conceptual introductory ideas and multimedia technology content, appropriate selection is a good way to introduce nonlinear dynamics and chaos to undergraduate and graduate students. The syllabus is as follows:
ntroduction to nonlinear dynamics, chaos and complexity
One dimensional and two dimensional mapping
Power system: Bifurcation and stability
Chaotic dynamical system
Fractal and fractal dimension
Hamiltonian chaos
Introduction to nonlinear time series
Introduction to complexity
Some applications and research topics of nonlinear dynamics, chaos theory and complex systems
