M2AA1 Differential Equations

Saturday, March 14, 2009

Lyapunov-Schmidt reduction

Some of you have asked me for some alternative reading on Lyapunov-Schmidt reduction. I would like to suggest you consult section 8.2 of Carmen Chicone's (good!) textbook on Ordinary Differential Equations. (consult this section online in google books)

# posted by Jeroen Lamb @ 7:31 AM

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Course Notes

• Chap 1. Introduction
• Chap 2. Linear autonomous ODEs
  Chap 2 App: inner product on C^m
• Chap 3. Contractions
• Chap 4. Existence & Uniqueness
• Chap 5. Flow near equilibria (in prep)
• Chap 6. Limit sets
• Chap 6. App: PB theorem
• Chap 7. Applications

Progress tests (incl soln)

• Nr 1 (9/2)
• Nr 2 (16/3)

Problem sheets

• Nr 1 (solns)
• Nr 2 (solns)
• Nr 3 (solns)
• Nr 4 (solns)
• Nr 5 (solns)
• Nr 6 (solns)
• Nr 7 (solns)

Applets

• Phase portraits for planar ODEs

Lecture Slides

Chap 1 Chap 2 Chap 3 Chap 4 Chap 5

Lecture Notes (written)

13-15 Jan 20-22 Jan 27-29 Jan 3-5 Feb 10-12 Feb 17-19 Feb 24-26 Feb 3-5 Mar 10-11 Mar 17-19 Mar 24 Mar

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