Dynamical Systems

Објавено: February 28, 2019

Dynamical Systems

Course: Dynamical Systems

Code: 3ФЕИТ08003

ECTS points: 6 ЕКТС

Number of classes per week: 3+0+0+3

Lecturers: Prof. Dr. Sonja Gegovska – Zajkova, Asst. Prof. Dr. Sanja Atanasova

Course Goals (acquired competencies): To adopt the basic concepts of the theory of dynamical systems. The student to be able to recognize, model and solve problems from the application of dynamical systems in electrical engineering.

Course Syllabus: Classification of Dynamical Systems. Autonomous Dynamic Systems. Discrete and continuous dynamical systems. Stationary state and boundary sets. Periodic and quasi-periodic solutions. Nonlinear system and phase diagrams. Lyapunov functions.  Stability and spectra of Lyapunov. Linear and nonlinear discrete dynamic systems. Bifurcations. Chaos.

Literature:

Required Literature

No.

Author

Title

Publisher

Year

1

S. H. StrogatzNonlinear Dynamics and Chaos: with applications to physics, biology, chemistry and engineeringWestview Press2006

2

R.L. DevaneyChaotic Dynamical SystemsAddison-Wesley Publishing Co.1994

3

S. LynchDynamical Systems with Applications using MathematicaBirkhäuser, Boston2007

Additional Literature

No.

Author

Title

Publisher

Year

1

Brin M., Stuck G.Introduction to Dynamical SystemsUniversity Press, Cambridge2002