Autonomous system (mathematics)

As an autonomous differential equation, or an autonomous system is referred to a type of ordinary differential equations whose right-hand side does not depend explicitly on the independent variable:

After transition to a higher-dimensional system of first order, you can, for an n- dimensional phase space D f from D to also consider as a vector field. The line integrals (ie the solutions ) of the autonomous differential equations are invariant under translation.

Each time-dependent system can be represented by a transition to a system of dimension n 1 as an autonomous system.

Examples

An example of an autonomous differential equation is the logistic equation used in the theoretical biology.