TFY4305 Ikkelineær dynamikk / Nonlinear dynamics
Autumn 2003

Teacher: Jan Myrheim
Text book: Steven H. Strogatz: Nonlinear Dynamics and Chaos
P.C. Hemmer: Compendium, Ikke-lineær dynamikk
(new edition given out for free, please ask me if you need a copy)
Classes Monday 8.15-10 in auditorium E5-103 (moved from R21)
and Thursday 12.15-14 in R21,
including exercises Monday 09.15-10 in E5-103
Last briefing: Friday December 12, 12.00 in E5-103
Written examination on Tuesday December 16, 9-15
 

• Required exercises
• Deadline 18/9 (week 38)       (   ps file    or    pdf file   )
• Deadline 28/11 (week 48)      (   ps file    or    pdf file   )

• Other exercises
• Strogatz 2.2.9; 2.3.4; 2.4.2-5-7; 2.5.6; 2.6.1.
• Strogatz 3.6.7; 4.1.8; 4.6.1; 4.6.2.
• Strogatz 6.3.16; 6.4.7; 6.5.5; 6.5.7; 6.5.19.
• Strogatz 5.2.2; 5.2.14; 6.1.8; 6.1.11; 6.1.13; 6.6.4; 6.6.9; 6.8.8; 6.8.9; 6.8.11; 6.8.13;
  7.1.6; 7.3.1; 7.3.2; 7.6.14.
• Strogatz 8.1.8; 8.1.10; 8.2.8; 8.3.1; 8.4.3; 8.5.2; 8.6.5; 8.6.7; 8.6.8.
• Strogatz 9.1.4; 9.2.6; 9.3.1; 9.3.2(+3+4+5+6+7); 9.3.8; 9.4.2; 9.5.4.
• Strogatz 10.1.12; 10.1.13; 10.3.3; 10.3.4; 10.3.5; 10.3.7; 10.4.4; 10.5.6
• Strogatz 11.2.5; 11.2.6; 11.4.9.
• Strogatz 12.1.8; 12.2.6; 12.2.8.

• Solutions to exercises (in Norwegian -- sorry!)
• Strogatz, Chapter 2                 (   ps file    or    pdf file   )
• Strogatz, Chapters 3 and 4                 (   ps file    or    pdf file   )
• Strogatz, Chapters 5 and 6.1                 (   ps file    or    pdf file   )
• Strogatz, Chapter 6.3 to 6.5                 (   ps file    or    pdf file   )
• Strogatz, Chapter 6.8 to 7.3                 (   ps file    or    pdf file   )
• Strogatz, Chapter 7.6 to 8.2                 (   ps file    or    pdf file   )
• Strogatz, Chapter 8.3 to 8.6                 (   ps file    or    pdf file   )
• Strogatz, Chapter 9                 (   ps file    or    pdf file   )
• Strogatz, Chapter 10                 (   ps file    or    pdf file   )

• 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

• Topics of lectures
• Week 33, 14/8: Strogatz, Chap. 2, Flows on the line.
• Week 34, 18/8 and 21/8: Strogatz, Chap. 2 and Chap. 3, Bifurcations.
• Week 35, 25/8 and 28/8: Strogatz, Chap. 3 and Chap. 4, Flows on the circle.
• Week 36, 1/9 and 4/9: Strogatz, Chap. 4 and Chap. 5, Linear systems.
• Week 37, 8/9 and 11/9: Strogatz, Chap. 5 and Chap. 6, Phase plane.
• Week 38, 15/9 and 18/9: Strogatz, Chap. 6 and Chap. 7, Limit cycles.
• Week 39, 22/9 and 25/9: Strogatz, Chap. 7.
• Weeks 40 and 41, two week break.
• Week 42, 13/10 and 16/10: Strogatz, Chap. 8, Bifurcations revisited.
• Week 43, 20/10 and 23/10: Strogatz, Chap. 9, Lorenz equations.
• Week 44, 27/10 and 30/10: Strogatz, Chap. 10, One-dimensional maps.
• Week 45, 3/11 and 6/11: Strogatz, Chap. 11, Fractals; Chap. 12, Strange attractors.
• Week 46, 10/11 and 13/11: Strogatz, Chap. 11 and 12; Hemmer, Chap. 8, Nonlinear waves.

• Students

• Recipes for phase portraits
  • With MATLAB, in WINDOWS (contributed by Johannes Schröck)
  • With Maple

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Ansvarlig for innhold: Jan Myrheim Teknisk ansvarlig: Jan Myrheim Last updated: November 28, 2003