Introduction to Nonlinear Physics

Here you can find some material related to the lecture Introduction to Nonlinear Physics and complex systems in general.

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Lecture (winter term 2016/2017)

Wednesday: 14.00 -- 15.30 and Thursday: 9.00 -- 9.45

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Script

Version 1.10.2016: Download

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Exercises

Sheet 1: Download

Sheet 2: Download

Sheet 3: Download

Sheet 4: Download

Sheet 5: Download

Sheet 6: Download

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Literature

• Synergetics, H. Haken, Springer 2004
• Nonlinear Dynamics and Chaos, S. Strogatz, Perseus Books 1998
• Nonlinear Dynamics in Complex Systems, A. Fuchs, Springer 2013
• An Exploration of Dynamical Systems and Chaos, J. H. Argyris, G. Faust, M. Haase, R. Friedrich, Springer 2015

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Additional Material

Rayleigh-Bénard

• Nice article on Rayleigh-Bénard convection

Haken-Kelso-Bunz model

• The original article
• Scholarpedia article

Limit Cycles - The van der Pohl Oscillator

• Mathematica notebook for the van der Pohl oscillator
Download
• Scholarpedia article

Lorenz System and Chaos

• Mathematica notebook to explore the Lorenz system
Download
• Original article
• Scholarpedia article

Slaving and the center manifold

• Mathematica notebook to explore slaving and the center manifold in the Haken-Zwanzig system
Download

Noise

• Mathematica notebook to explore noise and bifurcations
Download