Topic 15 Chaos & Complexity theories Flashcards
Chaos Theory
The study of complex nonlinear systems of social complexity.
The qualitative non-periodic and unstable study in behavior in deterministic dynamical nonlinear systems.
Dynamic systems
Systems that are constantly changing
Characteristics of the chaotic system
> Determinist: Is ruled by a mathematical equation to determine its behavior.
Sensitive to initial conditions: Even a slight change at the beginning can give different results.
Not random: Chaos has an order and a pattern.
Chaos important concepts
> Butterfly effect
Attractor
Strange attractor
Butterfly effect
The slightest change in the starting point can lead to a very different result.
Attractor
Balance inside the system. It represents a state in which a system eventually stabilizes.
Strange attractor
A dynamic type of balance that represents a kind of path over which a system changes from one situation to another without having to settle.
Three components of chaos and complexity
Nonlinearity as mathematical description
Realism as an ontological principle
‘Evolutionary’, meaning that we are dealing with processes which are fundamentally historical and they are not time reversible
Complexity theory
Developed from chaos theory and represents the body of research on systems about the systems that have complex characteristics
Main representatives of Complexity
Stuart Kauffman
Murray Gell-Mann
Phillip Anderson
Terms used in complexity theory
Size: Is an indication of the difficulty one might have in order to deal with a system. The greater the system, the greater the complexity.
Ignorance: Talks to us of lack of knowledge there is about the system. A system is complex when you know nothing of it.
Variety: Related to the different nature of the parts of a system.
Characteristics of a complex system
Great number of individual elements Persistent movement System adjusts to new situations to ensure the survival Self-management Local regulations to apply to each agent Progression in complexity
Main influence in Chaos Theory
Edward Norton Lorenz