Dynamical System/Examples/Arbitrary Example 1

Example of Dynamical System

Let $T: \C \to \C$ be the mapping on the complex plane defined as:

$\forall z \in \C: \map T z = z^2 - 1$

Hence $T$ and the iteration $z_{n + 1} = {z_n}^2 - 1$ together define a dynamical system in the complex plane.

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