Solution (source code)

= Solution

\b[One <isolating integral> occurs when <specific orbital energy> is the only independent stationary invariant.] An autonomous chaotic <orbit> that densely explores a connected five-dimensional <specific orbital energy> surface is the standard case. Every continuous <integral of motion> must then be constant on that surface, so it is locally a function of <specific orbital energy> rather than an additional independent integral. Irregular motion need not mean zero integrals; <specific orbital energy> still isolates the <orbit> from other <specific orbital energy> surfaces.