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This page was created at 9:14 AM on Thu, Oct 11, 2001.
Open courses in Complex Systems (*Not realtime Information. Review the "Data current as of: " statement at the bottom of hyperlinked page)
Wolverine Access Subject listing for CMPLXSYS
Fall Term '01 Time Schedule for Complex Systems.
To see what graduate courses have been added to or changed in Complex Systems this week go to What's New This Week.
Section 001.
Prerequisites: (3).
Credits: (3).
Course Homepage: http://www.pscs.umich.edu/CSCS/education/CSCScourses/cscs501f01.html
This course covers a broad range of fundamental topics relevant to the study of complex systems. The course work involves weekly readings and discussion of papers and selections from books. The readings focus on "classics" in the complex systems literature, in order to give students a broad, general understanding for the variety of work that falls under the rubric of complex systems. Topics to be covered will include evolutionary systems, selforganized criticality, measures of complexity, approaches to modeling complex adaptive systems, and emergence. Authors to be covered include Holland, Axelrod, Kauffman, Bak, and GellMann.
Classwork and grades: Grading will be based on participation in the discussions and on two papers:
CMPLXSYS 531. Basic Computing Skills for Programming Agent Based Models
Section 001.
Prerequisites:
Credits: (12).
Course Homepage: No homepage submitted.
This course covers the basic computing skills which are required for implementing againbased models using Swarm (and other similar packages) in a LINUX/UNIX environment, including (a) basic LINUX/UNIX commands, (b) basic programming concepts (variables, operators, flowcontrol), (c) creating simple C and objectiveC programs and (d) basic ObjectOriented Programming concepts. For students intending to take CSCS 530.
CMPLXSYS 541 / PHYSICS 413. Introduction to Nonlinear Dynamics and the Physics of Complexity.
Section 001.
Prerequisites: Phys. 401. (3).
Credits: (3).
Course Homepage: http://wwwpersonal.umich.edu/~lsander/syll413.html
See Physics 413.001.
CMPLXSYS 599. Independent Study of Complex Systems.
Instructor(s):
Prerequisites: Graduate standing and permission of instructor. (13). (INDEPENDENT).
Credits: (13).
Course Homepage: No homepage submitted.
Directed readings or research in consultation with a member of the faculty in Complex Systems.
CMPLXSYS 899. Special Topics in Complex Systems.
Section 001 – Anomalous Diffusion: from Models to Equations. (1 credit). Meets 9/5/01 – 9/25/01. (Drop/Add deadline=September 25).
Instructor(s): John Holland, Igor Sokolov
Prerequisites: Graduate standing. (14). May be elected three times, for a maximum of nine credits.
Mini/Short course
Credits: (14; 13 in the halfterm).
Course Homepage: http://www.pscs.umich.edu/CSCS/education/CSCScourses/CSCS899Synopsis.html
Many examples of complex behavior in a variety of physical, chemical, biological, economical or social situations can be cooked
down to different variants of diffusion, i.e. to the behavior due to small, random, uncorrelated changes. The Brownian motion is here the most prominent example. The behavior diffusive processes is mathematically described by diffusion (FokkerPlanck) equation.
The corresponding physical problems can be the mathematically correctly formulated as initial/boundary condition problems and solved using standard mathematical approaches. On the other hand, in many situations the motion results from the displacement
which are only "more or less" small or uncorrelated, so that the overall process is too slow, too fast, or too complex to be diffusive.
We discuss several such situations and show, how the corresponding equations can be formulated and solved using the modern
methods of fractional calculus.
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