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GT
Nonlinear science courses |
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Fall 2007
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Spring 2008
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GT graduate courses
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Undergrad info
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Past courses
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Fall 2007
TR 09:35-10:55, Howey Physics S104 (not confirmed)
Nonlinear dynamics: Chaos, and what to do about it
-
Predrag Cvitanović
PHYS 7224 - advanced graduate:
this year the emphasis is on chaotic dynamics, evolution operator
formalism and chaotic dynamics theory of non-equilibrium processes.
Part I of 2-semester sequence, with quantum chaos to be taken up
Fall 2008.
It will be easier going for those who have taken
PHYS 4267/6268 Nonlinear Dynamics & Chaos ,
but that is not a prerequisite.
Text:
Chaos: Classical and Quantum
(webbook by P. Cvitanović et al.)
Spring 2008
not finalized yet - please contact the instructor no later than Sept 2007
if you would like to take any of these courses:
Nonlinear
Dynamics & Chaos - Roman Grigoriev
PHYS 4267/6268 - graduate/advanced undergraduate level. The
material covered includes differential equations, their stability and
bifurcations, iterated maps, deterministic chaos, fractals, and strange
attractors with applications to physical, chemical, and biological
systems.
Enforced Pre-requisites MATH 2403 OR MATH 2413 OR MATH 24X3 OR MATH
3308. Basic knowledge of computer programing required.
Spatiotemporal Dynamics and Pattern Formation
- Roman Grigoriev
PHYS 8803 - This advanced graduate level course will
develop a
general theory of pattern formation in nonequilibrium systems using
linear
stability theory, bifurcations and symmetry analysis. A broad variety
of physical, chemical, and biological systems will be used as examples.
Knowledge
of partial differential equations (at the level of MATH 4581 or PHYS
6124) is required. The continuum mechanics course PHYS 4421 and
introduction to nonlinear dynamics PHYS 4267, although not
pre-requisites, will provide helpful background.
Introduction to Continuum Physics
-
Roman Grigoriev
or
Predrag Cvitanović
PHYS 4421
The course aims to redress the balance by offering a modern,
unified introduction to the basic concepts and phenomenology of
continuous systems.
The course is intended for physics, biology,
math, engineering and geophysics
advanced undergraduates, starting graduate students. The mathematical
prerequisites are modest and are developed further as the need arises.
Group Theory
- Predrag Cvitanović
PHYS 7143 - Foundations of group representation theory with
applications in atomic, molecular, nuclear, and solid state physics.
Quantum
Field Theory - Predrag
Cvitanović
PHYS 7147 - Introduction to quantum field theory, with an
emphasis in quantum electrodynamics. Second quantization, Dirac
equation,
Feynman diagrams, quantum electrodynamics, electro-weak interactions.
Web courses
Student projects
Other study information
svn: $Author: wwwcns $ --- $Date: 2007-06-25 00:32:14 -0400 (Mon, 25 Jun 2007) $