Courses Various lecture notes by C. McMullen http://www.math.harvard.edu/~ctm/courses.html
Extractions: Math 154. Probability Theory Math 213a. Complex Analysis Math 55b. Honors Analysis Math 55a. Honors Abstract Algebra Math 275. Riemann Surfaces and Hyperbolic Geometry Math 55b. Honors Analysis Math 55a. Honors Abstract Algebra Math 114. Analysis II Math 213b. Advanced Complex Analysis Math 213a. Complex Analysis Math 275. Rigidity and Flexibility in Dynamics Math 212b. Advanced Real Analysis Math 101. Sets, Groups and Knots Math 275. Math 275. Algebra and Dynamics Math 212a. Real Analysis Math 99r. Geometric Topology FS 21e. Dynamics, Geometry and Randomness Math 122. Algebra Math 112. Real Analysis Math 123. Algebra Math 275. Topics in Conformal Dynamics Math 131. Topology Math 213b. Advanced Complex Analysis Math 213a. Complex Analysis Math 101. Sets, Groups and Knots Math 275. Complex dynamics and hyperbolic geometry Advanced Real Analysis Math 101. Sets, Maps and Symmetry Groups Math 212a. Real Analysis Math 275. Riemann surfaces, dynamics and geometry
Resources: C*ODE*E Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links. http://www.math.hmc.edu/resources/odes/codee/
Extractions: National Science Foundation , published a newsletter that provided a regular source of ideas, inspiration, and experiments for instructors of ODEs. The goal of C*ODE*E was to share the rapidly growing wealth of computational instruction techniques with as many teachers and students of differential equations as possible. Because computers are vital tools in helping students understand and visualize concepts in differential equations, C*ODE*E also produced a software solver package called ODE Architect Past issues of the C*ODE*E Newsletters are available at the C*ODE*E Learning Assets Library In August, 2007, the NSF DUE ODE Toolkit ). This tool will work with an online version of the C*ODE*E Newsletter, allowing users to run the solver on examples embedded in the newsletter's articles. A new C*ODE*E website is in the works! Until it's up and running, we're redirecting people here so they can learn about Phase II of the C*ODE*E project, but please check back. Each phase of the C*ODE*E project has had an editorial board.
Extractions: This meeting is will bring together two LMS-funded networks: PANDA (Patterns, Nonlinear Dynamics and Applications) and the Nonlinear Pennine Triangle, and will be held on Monday and Tuesday 25th-26th March 2002, in the Department of Applied Mathematics University of Leeds . These networks are affiliated with the Leeds Centre for Nonlinear Studies The meeting will be held in the Roger Stevens Building Lecture Theatre 24 , on level 10 of the building marked '83' on the top left-hand corner of this map . Tea and coffee will be on level 9 of the School of Mathematics, across the footbridge from the Roger Stevens Building. The School of Mathematics is marked '75' in the lower right-hand corner of this map For those walking up from the rail station, this map might help. Aim for the bridge on Calverley Street, just beyond the Leeds General Infirmary, above the word 'Tunnel'. This bridge leads to the South Entrance of the University (see yet another map ). The Roger Stevens Building is behind a large square pool.
Home University of Potsdam, Germany; 1720 August 2004. http://dpsg.math.uni-potsdam.de/
Dynamical-systems.org A interactive laboratory on dynamical systems, in particular on particle systems. http://www.dynamical-systems.org/
Surveys In Dynamical Systems References to several surveys and papers of introductory character which are available on-line. http://www.math.sunysb.edu/dynamics/surveys.html
Extractions: An excellent introduction to the subject is Dynamics in One Complex Variable by J. Milnor, published by Vieweg 1999, 2nd edition 2000; Available through AMS (the original notes are available as preprint 90-5 ). A survey of the results on the geometry of polynomial Julia sets can be found in Local Connectivity of Julia Sets: Expository Lectures by J. Milnor and for a discussion of the combinatorics of the Mandelbrot set see Orbits, Rays and the Mandelbrot Set . Recent progress in the subject is surveyed in Frontiers in complex dynamics and The Classification of Conformal Dynamical Systems by C. McMullen, and Renormalization Ideas in Conformal Dynamics by M. Lyubich. For a measure/dimension theoretic viewpoint see the new survey by M. Urbanski, Measures and Dimensions in Conformal Dynamics
Archiv Bulletin board and preprint archive. http://www.math.lsu.edu/~tiger/evolve/evolve.html
Extractions: Crowd Dynamics Crowd Dynamics is a specialist consultancy uniquely positioned to support clients who need the safe and efficient movement of people in built and complex environments Our experience covers pedestrian flow and the movement of people on all transport modes. We are expert in developing movement strategies for large areas, city centres, terminals etc and in deploying streetspace to make optimum use of space for both people and vehicles Success of the business evolves from our ability to understand client needs having vast experience of mathematical tools to apply the appropriate level of science and analysis to develop and evaluate options. Critical to our success is our ability to distil and disseminate our findings in a comprehensive manner to the wide range of interrelated disciplines and parties involved in stadia, terminal, streetscape or area wide designs The company is advising on some of the worlds most complex and prestigious projects and contributed to crowd movement strategies and management plans for many high profile events. In addition to providing independent consultancy we support government level educational and training programmes in the understanding and application of Crowd Dynamics and supply a range of modelling tools.
Dynamical Systems Home Page Conference listings, survey articles, open problems, people, jobs, and seminars. http://www.math.sunysb.edu/dynamics/
Extractions: UK Cambridge Cambridge Nonlinear Centre Liverpool Dynamical Systems Group Queen Mary and Westfield College London Dynamical Systems Home Page University College London Centre for Nonlinear Dynamics and its Applications Manchester Dynamical Systems University of Surrey Nonlinear systems group UK Nonlinear News Europe Barcelona (Spain) Barcelona UB - UPC Dynamical Systems Group Barcelona (Spain) Universitat Autonoma de Barcelona - Dynamical systems FU Berlin (Germany) Nonlinear Dynamics at the Free University Berlin Bremen (Germany) Institut fur Dynamische Systeme Groningen (The Netherlands) Dynamical Systems Homepage Kiev (Ukraine) Dynamical Systems Homepage Luminy (France) Dynamical Systems Homepage Orsay (France) Topology and Dynamical Systems Stockholm (Sweden) Dynamical Systems Others Boston (USA) Dynamical Systems at Boston University Buenos Aires (Argentina) Private page full of Dynamical Systems links Georgia Tech (USA) Center for Dynamical Systems and Nonlinear Studies Cornell (USA) Dynamics group in Maths Dept.
Extractions: MIRROR SITE: http://www.geocities.ws/amselvam: A General Systems Theory of Everything from Chaos, Quantum Mechanics and Gravity Applicable to Dynamical Systems of all Space-Time Scales from Subatomic Dynamics of Quantum Systems to Macro-Scale Fluid Flow MIRROR SITE: http://amselvam.tripod.com/index.html: A General Systems Theory of Everything from Chaos, Quantum Mechanics and Gravity Applicable to Dynamical Systems of all Space-Time Scales from Subatomic Dynamics of Quantum Systems to Macro-Scale Fluid Flow Book entitled CHAOTIC CLIMATE DYNAMICS by A.M.Selvam is available at Amazon.com
Extractions: of a damped, driven pendulum Welcome The information here represents a final semester project submitted as part of an undergraduate course on theoretical physics. It contains a computer program written using the FORTRAN language to plot the phase space trajectory of the above dynamical system. The program models a damped, driven oscillator using a second order non-linear differential equation. The popularity of the study of this system has been fuelled by the interest in fractals of which this system is related. This link Pend12.htm will take you to a screen shot of the computer program that generates the images. It is a DOS program and very basic compared to some the the more modern JAVA applications around. But you should find it fun all the same! Click here to download a copy of the program PEND12.EXE About me firstname.lastname@example.org I have been a teacher for about 12 years (as of 2006) and decided to put this site up when some of my A level Physics students expressed an interest in chaos theory (originally in 1996). Some of the maths is above A level standard but I hope you find it useful anyway.
Shandelle M. Henson's Homepage Andrews University. Dynamical systems and bifurcation theory, with applications to population biology and ecology. http://www.andrews.edu/~henson