TFY4305 Ikkelineær dynamikk / Nonlinear dynamics
Autumn 2005

Teacher: Jan Myrheim
Text book: Steven H. Strogatz: Nonlinear Dynamics and Chaos
P.C. Hemmer: Compendium, Ikke-lineær dynamikk (only in Norwegian)
(sold at the Department of Physics, corridor E3 in Realfagbygget, price kr. 75)
Classes Monday 8.15-10 in auditorium R56, and Wednesday 8.15-10 in auditorium R60.
including exercises Monday 09.15-10
Written examination on Wednesday November 30, 15-19

• Grades at final examination

• Hand-in exercise, deadline Monday 14/11 (week 46)
• Text:           ps file    or    pdf file   
  Download files for Maple:           Example 1    or    Example 2   
  Download files for Matlab:           File 1    and    file 2    and    file 3    and    file 4   
  

• Exercises
• Strogatz 2.2.13; 2.3.1; 2.3.3; 2.4.2-4-7-9; 2.5.6; 2.6.1.
  Solutions:    ps file    or    pdf file
• Strogatz 3.3.1; 3.3.2; 3.4.16; 3.6.7; 3.7.5.
  Solutions:    ps file    or    pdf file
• Strogatz 4.1.8; 5.1.1; 5.1.9; 5.1.13; 5.2.1; 5.2.13.
  Solutions:    ps file    or    pdf file
• Strogatz 6.2.1; 6.2.2; 6.3.8; 6.3.16; 6.4.6; 6.4.7; 6.5.2; 6.5.7.
• Strogatz 6.8.2-3-4-5; 6.8.8; 6.8.9; 6.8.11; 6.8.13.
• Strogatz 7.2.5; 7.2.7; 7.3.3; 7.6.4-5-6.
• Strogatz 8.1.6; 8.1.8; 8.1.12; 8.2.8; 8.3.1.
• Strogatz 8.5.3; 8.6.7; 9.1.4; 9.2.1; 9.2.2; 9.3.1.

• Previous examination sets (SIF 4088 and dr.ing.-fag DIF 4993)
• 1996                              løsning
• 1998                              løsning
• 2000 (mai)                     løsning
• 2000 (november)           løsning
• 2001                              løsning
• 2002     (English)          løsning
• 2003 (august)               løsning
• 2003     (English)          løsning
• 2004     (English)          løsning
• 2005     (English)          løsning

• Topics of lectures
• Week 34, 22/8 & 24/8: Strogatz, Chap. 2, Flows on the line.
• Week 35, 29/8 & 31/8: Strogatz, Chap. 3, Bifurcations.
• Week 36, 5/9 & 7/9: Strogatz, Chap. 4, Flows on the circle.
• Week 36 & 37, 7/9 & 12/9: Strogatz, Chap. 5, Linear systems.
• Week 37 & 38, 14/9 & 19/9: Strogatz, Chap. 6, Phase plane.
• Week 38 & 39, 21/9, 26/9 & 28/9: Strogatz, Chap. 7, Limit cycles.
• Week 39 & 40, 28/9, 3/10 & 5/10: Strogatz, Chap. 8, Bifurcations revisited.
• Week 41 & 42, 10/10, 12/10 & 17/10: Strogatz, Chap. 9, Lorenz equations.
• Week 42 & 43, 19/10 & 24/10: Strogatz, Chap. 10, One-dimensional maps.
• Week 44, 31/10 & 2/11: Strogatz, Chap. 11, Fractals; Chap. 12, Strange attractors.
• Week 45, 7/11 & 9/11: Hemmer, Chap. 8, Nonlinear waves.
• Week 46, 14/11 & 16/11: Hemmer, Chap. 9; Chap. 10.
• Week 47, 21/11 & 23/11: Time to summarize.

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NTNU FIM Institutt for fysikk

Ansvarlig for innhold: Jan Myrheim Teknisk ansvarlig: Jan Myrheim Last updated: December 20, 2005