CDS - Complex Systems

• Definiton of ‘Complex Dynamic Systems’
  • Complex: Composed of many non-linear elements
  • Dynamic: The patterns forming in the system behave according to the dynamics
  • Systems: We need to think of the system as a whole, not as singular elements
• Examples of a Complex System:
  • The human body.
  • Financial markets.
  • Social organizations.
  • Climate.
• Properties of Complex Dynamic Systems:
  1. Self-organization. (~ex.: fractals)
  2. Collective behaviour. (~ex.: coupled sytems, models on graph, syncronization)
  3. Networks. (~ex.: graph topology, complex networks)
  4. Evolution and adaptation. (~ex.: SIR model, Lotka-Volterra model of competition)
  5. Pattern formation.
  6. System theory.\
  7. Non-linear dynamics. (~ex.: continuos time systems, discrete time system, deterministic chaos)