Here are the things worked for me.. (success using this tute http://www.howtoforge.com/how-to-install-vnc-server-on-ubuntu-14.04 and kudose for Charles Tassell for right directions and advice)
What I did is as follows,
(1) run sudo apt-get update && sudo apt-get upgrade
(2)run sudo apt-get install gnome-core xfce4 vnc4server
(3)then add users (vncserver/unix)
sudo adduser test1
(you will have to fill details afterwards for the user, I have added 3 users (test1, test2, test3 etc for vnc server)
(4)Then you have to switch users one by one and run vncserver and add password for vncuser login (I have three vnc users, so that i had to repeat this for all three user test 1, test2, test3)
su - test1
then run
vncserver
out put will be like this prompting for a vnc password..
You will require a password to access your desktops.
Password:
Verify:
xauth: file /home/test1/.Xauthority does not exist
New 'server1:1 (test1)' desktop is server1:1
Creating default startup script /home/test1/.vnc/xstartup
Starting applications specified in /home/test1/.vnc/xstartup
Log file is /home/test1/.vnc/server1:1.log
(5) Important : you will have to replace /home/test1/.vnc/xstartup content with below (Else you will not get the desktop, instead you will stuck with blank screen without user interfaces or menus )
vim /home/test1/.vnc/xstartup
and add
#!/bin/sh
unset SESSION_MANAGER
unset DBUS_SESSION_BUS_ADDRESS
startxfce4 &
[ -x /etc/vnc/xstartup ] && exec /etc/vnc/xstartup
[ -r $HOME/.Xresources ] && xrdb $HOME/.Xresources
xsetroot -solid grey
vncconfig -iconic &
(6) startup script for the vncserver was created using "Further I will make the startup script for the vncserver like this" section of this tute
sudo vim /etc/init.d/vncserver
and add below content..
#!/bin/bash
unset VNCSERVERARGS
VNCSERVERS=""
[ -f /etc/vncserver/vncservers.conf ] && . /etc/vncserver/vncservers.conf
prog=$"VNC server"
start() {
. /lib/lsb/init-functions
REQ_USER=$2
echo -n $"Starting $prog: "
ulimit -S -c 0 >/dev/null 2>&1
RETVAL=0
for display in ${VNCSERVERS}
do
export USER="${display##*:}"
if test -z "${REQ_USER}" -o "${REQ_USER}" == ${USER} ; then
echo -n "${display} "
unset BASH_ENV ENV
DISP="${display%%:*}"
export VNCUSERARGS="${VNCSERVERARGS[${DISP}]}"
su ${USER} -c "cd ~${USER} && [ -f .vnc/passwd ] && vncserver :${DISP} ${VNCUSERARGS}"
fi
done
}
stop() {
. /lib/lsb/init-functions
REQ_USER=$2
echo -n $"Shutting down VNCServer: "
for display in ${VNCSERVERS}
do
export USER="${display##*:}"
if test -z "${REQ_USER}" -o "${REQ_USER}" == ${USER} ; then
echo -n "${display} "
unset BASH_ENV ENV
export USER="${display##*:}"
su ${USER} -c "vncserver -kill :${display%%:*}" >/dev/null 2>&1
fi
done
echo -e "\n"
echo "VNCServer Stopped"
}
case "$1" in
start)
start $@
;;
stop)
stop $@
;;
restart|reload)
stop $@
sleep 3
start $@
;;
condrestart)
if [ -f /var/lock/subsys/vncserver ]; then
stop $@
sleep 3
start $@
fi
;;
status)
status Xvnc
;;
*)
echo $"Usage: $0 {start|stop|restart|condrestart|status}"
exit 1
esac
to make it an executable run the following..
chmod +x /etc/init.d/vncserver
(7) To make vnc desktop sessions allocated for users at start up automatically, create following script in /etc/vncserver
sudo mkdir -p /etc/vncserver
sudo vim /etc/vncserver/vncservers.conf
add this in vncservers.conf (this is because i have my users as test1, test2, test3 change it according to )
VNCSERVERS="3:test3 2:test2 1:test1"
VNCSERVERARGS[1]="-geometry 1024x768"
VNCSERVERARGS[2]="-geometry 1024x768"
VNCSERVERARGS[3]="-geometry 1024x768"
(8) Then run
sudo `update-rc.d vncserver defaults 99`
(9) reboot server (you are almost done by now) step 10 and the rest is how to login part
(10)download http://www.realvnc.com/download/viewer/
enter servername/ipaddress and session id
for example my server is 172.16.70.17 and if i use 172.16.70.17:2 it will login to test2 user desktop.. and 172.16.70.17:3 will login to test3 user desktop like wise
make sure encryption to be selected "Prefer off"


Then you can access your desktop and applications in this manner..

You need to need to increase the default allowed connection using the
/etc/ssh/sshd_config
File, add the lines
MaxSessions 50
MaxStartups 50:30:100
to that file. Then restart you system.
Form man sshd_config(5):
MaxSessions
Specifies the maximum number of open shell, login or subsystem
(e.g. sftp) sessions permitted per network connection. Multiple
sessions may be established by clients that support connection
multiplexing. Setting MaxSessions to 1 will effectively disable
session multiplexing, whereas setting it to 0 will prevent all
shell, login and subsystem sessions while still permitting for-
warding. The default is 10.
MaxStartups
Specifies the maximum number of concurrent unauthenticated con-
nections to the SSH daemon. Additional connections will be
dropped until authentication succeeds or the LoginGraceTime
expires for a connection. The default is 10:30:100.
Alternatively, random early drop can be enabled by specifying the
three colon separated values ``start:rate:full'' (e.g.
"10:30:60"). sshd(8) will refuse connection attempts with a
probability of ``rate/100'' (30%) if there are currently
``start'' (10) unauthenticated connections. The probability
increases linearly and all connection attempts are refused if the
number of unauthenticated connections reaches ``full'' (60).
Best Answer
Yes. Ubuntu by default support VNC. Try using Terminal Server or Remote Desktop Viewer.