I plot my data set using this code :
  activity <- unlist(dActivityProbe$value)
> tail(activity,10)
 [1] "high" "high" "high" "high" "high" "low"  "high" "none" "none" "none"
> head(dActivityProbe$time,10)
      timestamp 
 [1,] 1406613553
 [2,] 1406613585
 [3,] 1406613586
 [4,] 1406613706
 [5,] 1406613706
 [6,] 1406613825
 [7,] 1406613826
 [8,] 1406613945
 [9,] 1406613947
[10,] 1406614065
> date_time <- as.POSIXlt(as.numeric(dActivityProbe$time), origin="1970-01-01", tz = "GMT")
> head(date_time,10)
 [1] "2014-07-29 05:59:12 GMT" "2014-07-29 05:59:45 GMT" "2014-07-29 05:59:46 GMT" "2014-07-29 06:01:45 GMT"
 [5] "2014-07-29 06:01:46 GMT" "2014-07-29 06:03:45 GMT" "2014-07-29 06:03:45 GMT" "2014-07-29 06:05:45 GMT"
 [9] "2014-07-29 06:05:46 GMT" "2014-07-29 06:07:44 GMT"
> p <- qplot(data=dActivityProbe,,color=activity,x=date_time,y=activity)
> print(p)
And it's success for generating plot like this image 

But the problem is, when I tried to move this code into shiny, I got error.
The error look like this In R console :
Warning in as.POSIXlt(as.numeric(dActivityProbe$time), origin = "1970-01-01",  :
  NAs introduced by coercion
Error in seq.int(0, to0 - from, by) : 'to' cannot be NA, NaN or infinite
In shiny web :
'to' cannot be NA, NaN or infinite
Shiny Apps :
ui.R
  tabPanel("Time Series",
                                              titlePanel("Time Series Activity Probe Plot"),
                                              mainPanel(
                                                   plotOutput("Activity_time_series")
                                              )
dActivityProbe :
 head(dActivityProbe)
        time value
1 1406613553  none
2 1406613585  none
3 1406613586  none
4 1406613706  none
5 1406613706  none
6 1406613825  none
server.R
    library(shiny)
    library("RSQLite")
    library("rjson")
    library("ggplot2")
    library("scales")
    activity <- unlist(dActivityProbe$value)
    date_time <- as.POSIXlt(as.numeric(dActivityProbe$time), origin="1970-01-01", tz = "GMT")
shinyServer(function(input, output) {
         output$Activity_time_series <- renderPlot({
          p <- qplot(data=dActivityProbe,,color=activity,x=date_time,y=activity)
          print(p)
     })
Thank you for helping
 
    