My node with 4GB RAM struggles and crashed during the stress test so your node with 1GB is definitely struggling and swapping a lot...
Have a VPS with 2 GB and can confirm this.
This is the memory usage from yesterday. As you can see the node is almost constantly at or over 1GB.
| transactions |memory usage
yyyy-mm-dd-hh:mm|count|size in b|used|free
------------------------------------------------
2015-11-11-00:00|6372|81348654|1055|992
2015-11-11-00:30|7433|81846914|1051|996
2015-11-11-01:00|5635|80818380|1052|995
2015-11-11-01:30|6015|80587507|1054|993
2015-11-11-02:00|5423|80351940|1052|995
2015-11-11-02:30|5684|80280093|1051|996
2015-11-11-03:00|6122|80514567|1051|996
2015-11-11-03:30|5002|80027616|1051|996
2015-11-11-04:00|5892|80907061|1051|996
2015-11-11-04:30|6918|81742174|1058|989
2015-11-11-05:00|4987|79836673|1052|995
2015-11-11-05:30|4709|79721534|1052|995
2015-11-11-06:00|5025|80065499|1056|991
2015-11-11-06:30|7727|81430918|1052|995
2015-11-11-07:00|8320|82095438|1053|994
2015-11-11-07:30|4698|79703537|1052|995
2015-11-11-08:00|5713|80191484|1052|995
2015-11-11-08:30|5781|80212697|1052|995
2015-11-11-09:00|4766|79682062|1052|995
2015-11-11-09:30|4869|79650538|1052|995
2015-11-11-10:00|5435|79756952|1052|995
2015-11-11-10:30|4968|79589412|1052|995
2015-11-11-11:00|5828|80225334|1052|995
2015-11-11-11:30|4874|79654212|1052|995
2015-11-11-12:00|6198|80526772|1052|995
2015-11-11-12:30|5418|80113424|1052|995
2015-11-11-13:00|4799|79558251|1052|995
2015-11-11-13:30|4934|79464049|1052|995
2015-11-11-14:00|4577|79301228|1053|994
2015-11-11-14:30|7489|80638846|1052|995
2015-11-11-15:00|8137|81405928|1052|995
2015-11-11-15:30|5464|79994536|1052|995
2015-11-11-16:00|4758|79503424|1052|995
2015-11-11-16:30|8436|81436653|1052|995
2015-11-11-17:00|5865|80435564|1052|995
2015-11-11-17:30|5641|80373791|1051|996
2015-11-11-18:00|9205|82948359|1049|998
2015-11-11-18:30|4781|79621596|1052|995
2015-11-11-19:00|6357|80456702|1052|995
2015-11-11-19:30|7142|80824997|1052|995
2015-11-11-20:00|7497|81500873|1051|996
2015-11-11-20:30|5299|79997235|1052|995
2015-11-11-21:00|5471|80057779|1052|995
2015-11-11-21:30|6840|80812994|1053|994
2015-11-11-22:00|6252|80725703|1052|995
2015-11-11-22:30|7014|81084155|1053|994
2015-11-11-23:00|5175|80314667|1053|994
2015-11-11-23:30|7824|81681685|1052|995
@OP
You might want to reduce the impact core has on memory.
Easiest way is to modify the bitcoin.conf, mainly the following settings
disablewallet=1 # no wallet
dbcache=4 # limits database cache to 4 MB
minrelaytxfee=0.00002 # limits the number of TX that are held in memory, default for 0.11 is 0.00005, the higher the value the less TX are stored and passed along