COURSE UNIT TITLE

: COMPLEX SYSTEMS-II

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
PHY 5188 COMPLEX SYSTEMS-II ELECTIVE 3 0 0 8

Offered By

Graduate School of Natural and Applied Sciences

Level of Course Unit

Second Cycle Programmes (Master's Degree)

Course Coordinator

ASSOCIATE PROFESSOR GÜL GÜLPINAR

Offered to

PHYSICS
PHYSICS

Course Objective

The course provides a broad overview of concepts and methods used in the field of complex adaptive systems.
Methods of dynamical systems and statistical physics provide the tools for formally describing and analysing these systems.
The collective dynamics are illustrated by means of computer simulations, mainly using multi-agent approaches

Learning Outcomes of the Course Unit

1   Be aware of simple systems that exhibit nonlinear and complex behaviour
2   Be able to analyse nonlinear systems and find stationary points
3   Posses the ability to analyse bifurcation diagrams and identify key features on these diagrams
4   Understand the origin of deterministic chaos and explain key features relating to chaos
5   Be able to demonstrate an understanding of the algorithms described in the course
6   Have demonstrated the ability to implement stable, efficient and numerically correct versions of these algorithms, with source code which is well documented
7   Develop an ability to decide the reliability and usefulness of derived computational results
8   Appreciate the physical significance of derived computational results

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Numerical modelling of dynamics
2 Numerical modelling of dynamics (cont.)
3 Stochastic methods
4 Stochastic methods (cont.)
5 Partial differential equations
6 Partial differential equations (cont.)
7 Partial differential equations (cont.)
8 Mid term exam 1
9 Self-Organised Criticality
10 Self-Organised Criticality (cont.)
11 Networks: Emergence and dynamics
12 The Tangled Nature Model of Biological Evolution
13 Synchronization of complex dynamical networks
14 Mid term exam 2
15 Synchronization of complex dynamical Networks (cont.)
16 Final exam

Recomended or Required Reading

Textbook:
S. Strogatz, Nonlinear Dynamics and Chaos. Boulder, Westview Press (1994).
References:
1. H. J. Jensen (1998), Self-Organized Criticality: Emergent Complex Behavior in
Physical and Biological Systems ,Cambridge Lecture Notes in Physics, Cambridge.
2. Weisbuch, Gérard; Ryckebusch, Sylvie (1991), Complex systems dynamics: An
introduction to automata networks. Santa Fe Institute studies in the sciences of
complexity: Lecture notes, Vol. 2, Addison-Wesley/Addison Wesley Longman, Reading.
3. Edited by Terry R. J. Bossomaier, David G. Green, Complexity Theory (2000),
Cambridge University Press , Cambridge.
4. M. S. Garrido, R. V. Mendes (1992), Complexity in Physics and Technology, World
Scientific, New York.

Planned Learning Activities and Teaching Methods

1. Lecturing
2.Question-Answer
3.Discussing
4.Homework

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 PRJ PROJECT
2 MTE MIDTERM EXAM
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE PRJ * 0.30 + MTE * 0.30 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) PRJ * 0.30 + MTE * 0.30 + RST * 0.40


Further Notes About Assessment Methods

None

Assessment Criteria

1. The homework (project) and mid-term exams of the student is assessed as the achievement of them in the semester.
2. At %40 score of final examination is added directly to the others.

Language of Instruction

English

Course Policies and Rules

1. It is obligated to continue at least 70% of lessons.
2. If the student don t make the homework and attend mid-terms, he does not access the final exam

Contact Details for the Lecturer(s)

gul.gulpinar@deu.edu.tr

Office Hours

Monday and Wednesday between 13:00-14:00 a.m.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lecture 14 3 42
Weekly preparations before/after course 12 3 36
Preparations for mid-term exam 2 10 20
Preparations for final exam 1 15 15
Preparations for other quizes 6 4 24
Preparations for homework 5 3 15
Preparations for presentations 12 4 48
Mid-term Exam 2 2 4
Final Exam 1 3 3
TOTAL WORKLOAD (hours) 207

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10
LO.15
LO.255343
LO.3445
LO.454253
LO.5314
LO.6535
LO.74452
LO.844452

CONTACT INFORMATION
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Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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