Definition:Julia Set/Definition 1
Jump to navigation
Jump to search
Definition
Let $f$ be an iterated rational function defined on the extended complex plane $\overline \C$.
The Julia set of $f$ is the closed subset of $\overline \C$ which is invariant under $f$.
Also see
- Results about Julia sets can be found here.
Source of Name
This entry was named for Gaston Maurice Julia.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Julia set
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Julia set