Unfortunately, I don't have access to the specific part(s) of the drive
cycle which must occur for the oxygen sensors to complete their testing.
Hyundai has now posted the entire drive cycle on www.hmaservice.com.  I
cannot vouch for it's accuracy, and in fact I find it suspect since it's
claimed to be for all models except those with the Delphi engine
management system.  CARB (California Air Resources Board) or BAR (Bureau
of Automobile Repair) may be able to get you more detailed information.
That said, try not to wreck in attempting to perform the drive cycle.

1.  Fuel level greater than 15%.
2.  Start with coolant between 0 and 40 Celsius.
3.  Start the car and let idle in park/neutral for five minutes.
4.  Accelerate to 50 MPH (about 15 sec).
5.  Maintain 50 MPH for 8 minutes.
6.  Slow to a stop, taking approximately 15 sec.
7.  Idle in park/neutral for 15 minutes.
8.  Accelerate to 55 MPH (about 15 sec).
9.  Drive at 55 MPH for 1 minute.
10.  Slow to a stop, taking about 15 sec.
11.  Idle in drive for one minute.
12.  Accelerate to 55 MPH (about 15 sec).
13.  Drive at 55 MPH for 1 minute.
14.  Slow to a stop, taking about 15 sec.
15.  Idle in drive for one minute.
16.  Accelerate to 40 MPH (15 sec.)
17.  Drive at 40 MPH for 1 minute.
18.  Accelerate to 50 MPH (15 sec.)
19.  Drive at 50 MPH for 5 seconds.
20.  Decelerate to 40 MPH (15 sec.)
21.  Drive at 40 MPH for 1 minute.
22.  Accelerate to 50 MPH (15 sec.)
23.  Drive at 50 MPH for 5 sec.
24.  Decelerate to 40 MPH (15 sec.)
25.  Drive at 40 MPH for one minute.
26.  Accelerate to 50 MPH (15 sec).
27.  Drive at 50 MPH for 5 seconds.
28.  Decelerate to 40 MPH (15 sec).
29.  Drive at 40 MPH for 1 minute.
30.  Accelerate to 50 MPH (15 sec).
31.  Drive at 50 MPH for 5 seconds.
32.  Decelerate to 40 MPH (15 sec).
33.  Drive at 40 MPH for 1 minute.
34.  Accelerate to 50 MPH (15 sec).
35.  Drive at 50 MPH for 5 seconds.
36.  Decelerate to 40 MPH (15 sec).
37.  Drive at 40 MPH for 1 minute.
38.  Accelerate to 50 MPH (15 sec).
39.  Drive at 50 MPH for five seconds.
40.  Decelerate to a stop (15 sec).
41.  Idle in drive for one minute.

  O2 sensors, catalytic convertor
  have any idea at what speeds under what conditions and for how long?
  it would really be a help to know this when trying to get a smog
check
  after the battery has been disconnected for overseas shipment.
  this causes the ecu to reset (smog check rejected) till when(?)
  the car passes emissions but will not pass until ecu "self
diagnosis"
  you would think that there is a way for the ecu to force self
diagnosis
  or that there would be some definite method of producing it.
  other than "just driving it"

It depends on the test that needs to be run.  Some checks (such as proper
circuit resistance) are checked immediately on start-up and continuously
while the engine is running.  Others (such as misfire monitoring) occur
anytime the vehicle is running.  Performance tests of the oxygen sensors
and catalytic converter usually require driving at certain speeds under
certain operating conditions for certain periods of time.

when battery is disconnected then reconnected
the ecu is reset. how long before ecu self checks
again?