General information

• Module Info

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Selected handouts

• Linear systems of ODEs
• Planar dynamical systems
• Poincare-Bendixson
• Stability of limit cycles
• Approximations of limit cycles

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Selected slides

• Linear systemsof ODEs
• Algebraic and geometric multiplicities
• Dynamical systems (I)
• Dynamical systems (II)
• Laplace transform (II)
• Laplace transform (III)
• Conformal mapping (II)
• Conformal mapping (III)

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Tutorials


• Practice Questions 1
  
  Linear systems of ODEs.
  
• Practice Questions 2
  
  Simple dynamical systems; equilibrium points & their classification; Hartman-Grobman theorem.
  
• Practice Questions 3
  
  Limit cycles; Poincare-Bendixson.
  
• Practice Questions 4
  
  Floquet theory; perturbation methods.
  
• Practice Questions 5
  
  Conformal mappings & their applications.
  




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Page created by Ciprian Coman
Last updated: Dec 2023