Flow/Examples/Arbitrary Example 1

Example of Flow

Let the position of a point $x$ at time $t$ be denoted $\map x t$.

The equation $\map x t = t^2 + 1$ defines a flow on the real number line which is a solution to the differential equation $\map {x'} t = 2 t$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): dynamical system
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): dynamical system