?? piston ... chaos ... ergodic .... conservative .... ??? ....

?? .... symplectic ... ?? global vs local ... ??? all vector fields look alike generically locally ... all hamiltonian ones look alike locally ... ?? "completely integrable" .... ????? non-generic stuff ... classification of equilibrium points ... ??? ..... conjugacy class / adjoint orbit in linear symplectic group ... ???? .....

?? "renormalization" .... ????? .....

?? "blow-up of singularity" .... ??????? ........

?? "kam" ... ???? .....

?? general idea of system of ideal gas reservoirs connected by pistons ... ??? .... how qualitative behavior varies with complexity (?? in vague intuitive sense ?? ...) of system ... ??? ...