jaj•a•person's notes

  • Dynamics MOC
  • Key concepts
  • Differential systems
  • Examples
  • Two dimensions
  • See also

Mathematics MOC

Dynamics MOC

Key concepts

  • Differential system
  • Phase space
  • Trajectory
  • Fixed point
  • Equivalence of flows, Fundamental theorem of flows
  • Bifurcation
  • Basin of attraction

Differential systems

  • Existence and uniqueness of flows
  • Continuity of flows
  • Fundamental theorem of flows
  • Hartman-Grobman theorem

Examples

Two dimensions

  • Competition
    • Lotka-Volterra model of competition

See also

  • Differential equations MOC


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