følgevektor

Følgevektor is a Norwegian term that translates to "follower vector" or "companion vector." In mathematics, particularly in the context of linear algebra and differential equations, a følgevektor can refer to a vector that tracks the behavior or evolution of another vector over time or under a specific transformation. It is often used to describe the relationship between a reference vector and a vector that is constrained to move or change in a dependent manner.

The concept of a følgevektor is closely related to ideas of parallel transport, where a vector is moved along a curve while maintaining its direction as much as possible. In dynamical systems, a følgevektor might represent the trajectory of a point in phase space relative to a reference trajectory. It helps in understanding the stability and convergence of systems. For instance, if a system's state can be represented by a vector, a følgevektor could describe the deviation of a perturbed state from the nominal state, aiding in the analysis of how small disturbances evolve. The term is not as universally standard as some other mathematical concepts, and its precise meaning can sometimes depend on the specific field or context within mathematics in which it is used.