|
ECTS:
|
6
|
Lecturers in charge:
|
Prof. dr. sc.
Mervan Pašić
Prof. dr. sc.
Vesna Županović
|
English level:
1,1,1
|
All teaching activities in the course will be held on English. This level includes courses with multiple groups (i.e., all teaching will be held strictly in Croatian for Croatian groups, and strictly in English for English groups).
|
Description:
|
Legendre, Chebyshev and Hermit functions and differential equations. Qualitative analysis of differential equations presented on the model of Euler differential equation. Explicit, numerical and asymptotic methods for differential equations and systems. Models and applications: nonlinear vibrations, oscillators, pendulums, elastic systems, nonlinear electronic circuits, fluid convection. Robustness of systems, Ljapunov stability and bifurcations. Chaos and criteria for chaos in differential equations and systems.
|
Literature:
|
- A. C. King, J. Billingham and S. R. Otto; Differential Equations, Cambridge 2003.
- F. C. Moon; Chaotic and Fractal Dynamics. An Introduction for Applied Scientists and Engineers, John Willey & Sons, 1992.
- L. Perko; Differential Equations and Dynamical Systems, Springer, 2000.
|
|
Zimski semester
|
course for
Graduation study
|
|
