Information Package / Course Catalogue
EE 461 Introduction to Nonlinear Dynamics and Nonlinear Control
MEF University
Degree Programs
Electrical and Electronics Engineering
General Information For Students
Diploma SupplementErasmus Policy Statement
Electrical and Electronics Engineering
Bachelor Length of the Programme: 4 Number of Credits: 240 TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF: Level 6

ECTS Course Information Package

School/Faculty/Institute Faculty of Engineering
Course Code EE 461
Course Title in English Introduction to Nonlinear Dynamics and Nonlinear Control
Course Title in Turkish Nonlineer Dinamik ve Nonlineer Kontrole Giriş
Language of Instruction EN
Type of Course Flipped Classroom
Level of Course Introductory
Semester Spring
Contact Hours per Week
Lecture: 3 Recitation: 3 Lab: 0 Other: 0
Estimated Student Workload 149 hours per semester
Number of Credits 6 ECTS
Grading Mode Standard Letter Grade
Pre-requisites MATH 213 - Differential Equations
MATH 211 - Linear Algebra
Co-requisites None
Expected Prior Knowledge Prior knowledge in linear algebra, as well as in differential and integral calculus is expected.
Registration Restrictions Only Undergraduate Students
Overall Educational Objective To learn how to analyze nonlinear dynamic systems and the basic principles of controlling them
Course Description This course provides an understanding of the basic notions and methods used in the modelling, analysis and control of nonlinear dynamic systems. While the main focus is on continuous-time systems, the discrete-time counterparts of the methods are also introduced. The following topics are covered and explained via illustrative examples from physics, biology, ecology, population dynamics etc.: Standard representation of continuous and discrete-time dynamic systems, equilibrium points and periodic orbits, Poincaré’s geometric approach, concepts of stability, Lyapunov theorems, stability of periodic orbits and Floquet multipliers, fundamentals of nonlinear control, input-state and input-output linearization, stability of internal dynamics.

Course Learning Outcomes and Competences

Upon successful completion of the course, the learner is expected to be able to:
1) identify, formulate and solve mathematical models of nonlinear dynamic systems;
2) comprehend the analysis criteria and methods applicable to nonlinear dynamic systems;
3) design controllers for simple nonlinear systems;
4) identify, formulate and solve the control system problems.
Program Learning Outcomes/Course Learning Outcomes 1 2 3 4
1) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics
2) An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors
3) An ability to communicate effectively with a range of audiences
4) An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts
5) An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives
6) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions
7) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies

Relation to Program Outcomes and Competences

N None S Supportive H Highly Related
     
Program Outcomes and Competences Level Assessed by
1) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics H Exam
2) An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors S Exam
3) An ability to communicate effectively with a range of audiences N
4) An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts N
5) An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives N
6) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions N
7) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies N
Prepared by and Date YAĞMUR DENİZHAN , February 2026
Course Coordinator EGEMEN BİLGİN
Semester Spring
Name of Instructor

Course Contents

Week Subject
1) Introduction to Nonlinear Dynamics
2) Analytic and Geometric Approaches to 1-D Dynamic Systems: equilibrium behaviours, stability
3) Analysis of 1-D Dynamics on Linear and Periodic Phase Spaces
4) Analysis of 2-D Dynamic Systems: Review of Linear Dynamics
5) Analysis of 2-D Dynamics on Planar Phase Spaces and Lyapunov Theorems
6) Analysis of 2-D Dynamics on Cylindrical and Toroidal Phase Spaces
7) Stability of Periodic Orbits and the Method of Poincaré Section
8) Bifurcations
9) Higher Order Dynamic Systems and Chaotic Regime
10) Review
11) Input-State Linearisation
12) Input-Output Linearisation
13) Doğrusal Olmayan Kontrol Yöntemleri Üzerine Öğrenci Sunumları
14) Student Presentations on Nonlinear Control Methods
15) Final Exam/Project/Presentation Period
16) Final Exam/Project/Presentation Period
Required/Recommended Readings1. Nonlinear Dynamics and Chaos: With Applications To Physics, Biology, Chemistry, And Engineering, Steven H. Strogatz, CRC Press, 2000, ISBN-10: ‎ 0738204536 2. Applied Nonlinear Control, Jean-Jacques E. Slotine, Weiping Lee, Pearson Education, 1991, ISBN 10: 0130408905
Teaching MethodsContact hours using “Flipped Classroom” as an active learning technique
Homework and ProjectsThere will be homework, preworks, discussions on the lecture content, and presentations on assigned survey topics.
Laboratory Work-
Computer Use-
Other Activities-
Assessment Methods
Assessment Tools Count Weight
TOTAL %
Course Administration denizhan59yagmur@gmail.com
denizhan59yagmur@gmail.com
-Rules for attendance: Active participation in in-class discussions and practices contributes to the final grade. Missing a prework, HW, quiz: No make-up will be given. Missing a midterm: Provided that proper documents of excuse are presented, either a make-up exam will be given, or the weight of the missed exam will be included in the final exam. Not attending student presentations: If a student does not attend others’ presentations 3% of the 5% reserved for Flipped Learning Practice will be lost. A reminder of proper classroom behavior, code of student conduct: Law on Higher Education Art. 54. Academic Dishonesty and Plagiarism: Law on Higher Education Art. 54.

ECTS Student Workload Estimation

Activity No/Weeks Hours Calculation
No/Weeks per Semester Preparing for the Activity Spent in the Activity Itself Completing the Activity Requirements
Course Hours 14 2 3 70
Application 4 5 2 28
Project 1 15 1 16
Midterm(s) 1 15 2 17
Final Examination 1 15 3 18
Total Workload 149
Total Workload/25 6.0
ECTS 6