Task 6 - Surfing the edge of chaos Flashcards
Dynamic system
A system whose changes over time can be characterized by a set of equations that show how current values of variables depend mathematically on previous values of those variables.
State space
The set of states that a dynamic system can be in, determined by the variables that are used to measure it.
Attractors
Dynamic systems have attractors (relatively stable states) that they tend to settle to
Phase transition
Changes from one attractor state to another
Dynamic systems challenge to cognitive science
The mind should be seen as a dynamic system instead from a computational-representational perspective
Complex systems theory
Complex systems all have certain principles in common that predict their behavior
Basin of attraction
The set of states that are attracted by (i.e. will evolve toward) the attractor. Each attractor has a basin of attraction (what forms the walls basically)
What does it mean for a system to be in a deep basin of attraction?
Means its resilient/stable, will not be easily perturbed and pushed out of current state
Hysteris
The fact that recovery is not linearly related to the removal of the cause of the shift.
Early warning signs (EWS)
Show you that a complex system is about to change:
1. Increases in autocorrelation
2. Increases in variance
3. Flickering
Network perspective
- Theorizes that symptoms can also trigger each other and thereby form clusters of cooccurring symptoms in a self-organized (bottom-up) fashion
- Lumping together of some symptoms more often than others can be explained by the fact that a certain mental state (e.g. feeling down) easily triggers another mental state (e.g. worrying), but not so easily another mental state (e.g. the feeling of being watched)
Bridge symptoms
Network theory
Symptoms that connect across boundaries
Intractable conflict
A conflict that persists because it seems impossible to resolve. It is differentiated from tractable conflicts by its persistence, destructiveness, and resistance to
resolution.
Intractable conflict and dynamic systems theory
Intractable conflict could be seem as an attractor, meaning that to produce long-lasting change, one had to change the system is such a way that the equilibrium is changes
Catastrophe theory
- A mathematical theory that deals with sudden & unexpected changes in systems.
- Primarily concerned with understanding how small changes in certain parameters of a system can lead to sudden, dramatic and discontinuous changes
- These abrupt changes are referred to as catastrophes
Self-organization
The process whereby order emerges because of the interactions among system elements rather than because of the intervention of higher-order agents.
The 4 elementary catastrophes
Catastrophe theory
- The fold catastrophe
- The cusp catastrophe
- The swallowtail catastrophe
- The butterfly catastrophe
Cusp catastrophe
The catastrophe that can occur when there are 2 control variables and 1 behavior variable.
A-not-B task
Task used by researchers to establish when infants acquire the concept of object permanence:
* Experimenter hides a toy under a lid at location A, repeated several times.
* On a switch trial, the experimenter hides the object at a new location B.
* If there is a short delay between hiding and reaching, 8-10 month infants reach not to where they saw the object disappear, but back to A (A-not-B error)
(Can be explained by dynamic field model)