  Let $X$ be a Stein manifold of dimension $n\geq 2$ satisfying the volume
density property with respect to an exact holomorphic volume form. For example,
$X$ could be $\mathbb{C}^n$, any connected linear algebraic group that is not
reductive, the Koras-Russell cubic, or a product $Y\times\mathbb{C}$, where $Y$
is any Stein manifold with the volume density property.
  We prove that chaotic automorphisms are generic among volume-preserving
holomorphic automorphisms of $X$. In particular, $X$ has a chaotic holomorphic
automorphism. A proof for $X=\mathbb{C}^n$ may be found in work of Forn\ae ss
and Sibony. We follow their approach closely.
  Peters, Vivas, and Wold showed that a generic volume-preserving automorphism
of $\mathbb{C}^n$, $n\geq 2$, has a hyperbolic fixed point whose stable
manifold is dense in $\mathbb{C}^n$. This property can be interpreted as a kind
of chaos. We generalise their theorem to a Stein manifold as above.

Complex Variables;Dynamical Systems