Introduction to Complex Systems Summer 2017, Prof. Dirk Brockmann - PowerPoint PPT Presentation

Introduction to Complex Systems Summer 2017, Prof. Dirk Brockmann

Dirk Brockmann • email : dirk.brockmann@hu-berlin.de • phone : +49 30 187542070 • office : Robert-Koch-Institute, Nordufer 20, 13353 Berlin • hours : by appointment • web: http://rocs.hu-berlin.de • twitter: @DirkBrockmann • cell: 49 172 5914795

Survey https://www.surveymonkey.de/r/HP8NTV7

course language german

http://rocs.hu-berlin.de

the module Lecture Seminar Practical Course

Time Lecture: 8:15-9:45am, Thursdays Seminar: 8:15-9:45am, Fridays Practical Course: 2.5.2017 - 12.5.2017

Location

the module Lecture Seminar Practical Course

Lecture

lecture Theoretical Foundation Phenomena 30 % 70 %

Theoretic Foundation 1d flows bifurcation analysis 2d flows 1d maps random walks 10 % 20 % 30 % 20 % 20 %

Complex Adaptive Systems Networks 11 % 11 % Collective Motion Biological Networks 11 % 11 % Growth Processes Chaotic Systems 11 % 11 % Critical Phenomena Synchronization 11 % 11 % Pattern Formation 11 %

Seminar

seminar • 30 minute presentations + 10 minutes Q & A • on research papers • paper pool will be online • flexible choice • each students meets with Dirk once, better twice, before presentation • content • presentation skill

Practical Course

netlogo netlogo is a simple to learn, platform independent, and free programming language that we will use frequently throughout this course. You will need to download a copy and install on your computer. https://ccl.northwestern.edu/netlogo/

example

Homework I Please go to the netlogo documentation page and study 1.) the three tutorials (models, commands, procedures) 2.) the Interface Guide 3.) the Programming Guide On the netlogo documentation page, you'll find links to these on the left.

schedule

Fachkurs 2.5.-12.5.17 27.6.-7.7.17 6.6.-13.6.17 30.5.-9.6.17

Grading • one test will be given after the foundation as a test for you to check what you have learned. The test score will add an optional 20% to your final grade. • At the end of your module a klausur will be given on the theoretic foundation and the phenomena. • your seminar presentation will count towards your final grade as well.

Complex Adaptive Systems Networks 11 % 11 % Collective Motion Biological Networks 11 % 11 % Growth Processes Chaotic Systems 11 % 11 % Critical Phenomena Synchronization 11 % 11 % Pattern Formation 11 %

what are complex systems?

Complex Systems • simple rules generate complex, emergent behavior

Complex Behavior • unpredictable • dynamic • structured • self-similar • emergent • critical • self-organized 
 • pattern forming

Complex Systems • simple rules generate complex, emergent behavior

example: three species

example: network growth

example: the game of life • cells can be dead or alive • Every living cell considers 8 nearest neighbors and counts living neighbors K • when K<2 the cell dies • when K=2 or K=3 the cell lives • when K>3 the cell dies • a dead cell is born when 3 neighbors are alive

Topic Appertizers

Chaotic Systems

http://rocs.hu-berlin.de

fractals