# Some Partial Differential Equations with Chaotic Solutions

Some Partial Differential Equations with Chaotic Solutions

This Demonstration considers some partial differential equations with chaotic solutions of the form and . Sprott and others [1] found this set by an extensive search; the plots are shown in order of increasing complexity and are not necessarily optimally elegant. Periodic boundary conditions are chosen and the condition is used for the equations. Different equations can be selected by scrolling down the list.

u=fu,u,u,u,u

t

x

u

xx

u

xxx

u

xxxx

u=fu,u,u,u,u,u

tt

x

u

xx

u

xxx

u

xxxx

t

∂u(t,x)=0

t

u

tt