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Michael Cross

Professor of Theoretical Physics, Emeritus. I am now retired, and do not have any research positions available. I taught Ph127 Statistical Mechanics. For several years. Here. Are the notes from 2004. Lecture notes and demonstrations for an introductory course on chaos. Collective Effects in Equilibrium and Nonequilibrium Physics:. A special topics course taught at Beijing Normal University in 2006. Last modified 7 February, 2017.

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Michael Cross | crossgroup.caltech.edu Reviews

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Professor of Theoretical Physics, Emeritus. I am now retired, and do not have any research positions available. I taught Ph127 Statistical Mechanics. For several years. Here. Are the notes from 2004. Lecture notes and demonstrations for an introductory course on chaos. Collective Effects in Equilibrium and Nonequilibrium Physics:. A special topics course taught at Beijing Normal University in 2006. Last modified 7 February, 2017.

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1 michael cross

2 research

3 publications

4 talks

5 teaching

6 introduction to chaos

7 demonstrations

8 chaos

9 pattern formation

10 spatiotemporal chaos

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Michael Cross | crossgroup.caltech.edu Reviews

https://crossgroup.caltech.edu

Professor of Theoretical Physics, Emeritus. I am now retired, and do not have any research positions available. I taught Ph127 Statistical Mechanics. For several years. Here. Are the notes from 2004. Lecture notes and demonstrations for an introductory course on chaos. Collective Effects in Equilibrium and Nonequilibrium Physics:. A special topics course taught at Beijing Normal University in 2006. Last modified 7 February, 2017.

INTERNAL PAGES

crossgroup.caltech.edu

1

Chaos on the Web

http://crossgroup.caltech.edu/Chaos_Course/index.html

Chaos on the Web. Physics 161: Introduction to Chaos. Prof: Michael Cross TA:? To go directly to the list of topics. This is a class I have been giving for a number of years at Caltech. There are lecture notes. And associated numerical demonstrations. Written in Java to be accessible over the internet. You can also find the description. Of the class and the homework. Sets that I used for the class in the Winter term of 2000. Many of the original papers. Last modified Sunday, March 26, 2000.

2

Spatiotemporal Chaos Demonstrations - Java Simulations

http://crossgroup.caltech.edu/STChaos/index.html

Spatiotemporal Chaos - Java Simulations. Spatiotemporal chaos is dynamics that is disordered in both space and time in spatially extended systems. These java demonstrations illustrate spatiotemporal chaos in a number of different models. Change the speed to evolve the system faster - the number displayed is the number of time steps iterated between each plot. You can download zip files of the source. Last modified Friday February 18, 2005.

3

Chaos Demonstrations

http://crossgroup.caltech.edu/chaos_new/Chaos_demos.html

For a number of years I have been giving an introductory course on Chaos at Caltech ( Physics 161. Only useful if your browser supports JAVA. The demonstrations use the Java Graph Class Library. Version 2.4 by Leigh Brookshaw. The Period Doubling Route to Chaos. The Lorenz Attractor and the Butterfly Effect. I have made various modifications. To pieces of the library to incorporate "double buffering" to eliminate the flicker in animated plots. I have made an archive. Return to Home Page].

4

Pattern Formation: Demonstrations

http://crossgroup.caltech.edu/Patterns/index.html

Pattern Formation in Nonequilibrium Systems. Taken from: Physics 161b (2000). There are two sets of demonstrations:. On the formation of stationary patterns using the Swift-Hohenberg equation;. On propagating patterns in excitable media. Last modified Tuesday June 10, 2008.

5

Chua's Circuit

http://crossgroup.caltech.edu/chaos_new/Chua.html

A simple electronic circuit, developed by Leon Chua. The applet shows a simulation of Chua's circuit, plotting the voltage measured across C1. Against the voltage measured across C2. This corresponds to the display on an X-Y. In steps of 0.01 to 1.2K). The simulation compares well with what is actually seen on an oscilloscope. Chaos seems to develop via a subharmonic cascade. If you do not have access to an oscilloscope, you can use the voltage across C1. How the circuit works. Circuit equations ( pdf.

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Michael Cross

Professor of Theoretical Physics, Emeritus. I am now retired, and do not have any research positions available. I taught Ph127 Statistical Mechanics. For several years. Here. Are the notes from 2004. Lecture notes and demonstrations for an introductory course on chaos. Collective Effects in Equilibrium and Nonequilibrium Physics:. A special topics course taught at Beijing Normal University in 2006. Last modified 7 February, 2017.

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