Date parsing exception when in the Brazilian DST period

When entering the brazilian DST time period, the clocks are forward 1 hour. In 2014, DST began at 19/10, so the time 19/10/2014 00:00:00 became 19/10/2015 at 01:00:00. The period between "does not exist".

Because of this, when parsing the date "19/10/2014 00:45:00" using the timezone America/Sao_Paulo, it's thrown a parsing exception: java.text.ParseException: Unparseable date: "19/10/2014 00:45:00".

String date = "19/10/2014 00:59:00";
SimpleDateFormat sdf = new SimpleDateFormat("dd/MM/yyyy HH:mm:ss");
sdf.setLenient(false);
sdf.setTimeZone("America/Sao_Paulo");

Calendar calendar = Calendar.getInstance();
calendar.setTimeZone("America/Sao_Paulo");
calendar.setTime(sdf.parse(date));

America/Sao_Paulo timezone supposedly supports DST changes. What is the expected fix for this problem? I must change manually the jvm timezone when the DST period starts and ends? Currently the "fix" is changing the jvm timezone to GMT-2 when the DST period starts.

Note: This issue originated in an application developed with spring. The example date was throwing exception when it was being converted to a java.util.Calendar from a String. In the example code above, I set lenient to false in order to be able to reproduce the error.