Notes and Comments.

The results in this section are a refined version of [#clar:eke##1###]; the minimality result of Proposition 14 was the first of its kind.

To understand the nontriviality conditions, such as the one in formula (#eq:four#167>), one may think of a one-parameter family xT, #math28#T∈#tex2html_wrap_inline791#2πω-1, 2πb∞-1#tex2html_wrap_inline792# of periodic solutions, #math29#xT(0) = xT(T), with xT going away to infinity when #math30#T→2πω-1, which is the period of the linearized system at 0.


Table: Observational results from NGC 4827
;SPMnbsp; ;SPMnbsp; RA (1950) ;SPMnbsp; Dec (1950) S Pol log P ;SPMnbsp;
;SPMnbsp; ;SPMnbsp; (h) (m) (s) ;SPMnbsp; (o) (′) (#math31#′′) (mJy) (mJy) ;SPMnbsp; (W Hz-1) ;SPMnbsp;
Core (5 GHz) 12 54 18.0 ;SPMnbsp; 27 26 56.2 8 ;SPMnbsp; ;SPMnbsp; 21.64 ;SPMnbsp;
Total (327 MHz) ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; 210 ;SPMnbsp; ;SPMnbsp; 23.13 ;SPMnbsp;
;SPMnbsp; (1.4 GHz) ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; 57 1.3 2 22.49 ;SPMnbsp;
;SPMnbsp; (5 GHz) ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; ;SPMnbsp; 26 0.73 3 22.15 ;SPMnbsp;


#theorem192#

#example214#

#definition227#