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Nonlinear Dynamics

Study program:
Geotechnics (I semester -PhD)
Mining Engineering (I semester -PhD)
Name of subject: Nonlinear Dynamics
Instructors:
Prof. Ines Grozdanović
Status: Optional
ECTS: 10
Prerequisites: Mathematics 1, Mathematics 2
Course Objectives:
Introduction to Nonlinear Dynamics Theory.
Learning Outcomes:
Application of theoretical knowledge to solve praactical engineering problems.
Content:

Theory teaching
1.Introduction to Nonlinear Dynamics. 2.Differential Equations of the First Order and Their Bifurcation. 3.Phase Analysis. 4.Limit Cycles and Their Bifurcations. 5.Lorenz’s Equations. 6.Chaos. 7.Iterated mappings. 8.Doubling the period. 9. Fractals. 10.Foreign Attractors

Suggested Reading List:
  1. Nonlinear dynamics and chaos - With Applications to Physics, Biology, Chemistry, and Engineering by Steven H. Strogatz
Conduct of the Course:
Mentoring.
Fund hours:
Lectures Exercises Other forms of teaching Study research
4 0 0 0
Assessment:
Final Exam ECTS
Oral Exam70
Written exam30

Classwork Assessment ECTS
Class Participationа0
Practical Classes0
Written tests0
Seminars0
Additional Assessment Criteria: -


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