The standard way to detect what browser is used is to check the user agent supplied.
var BrowserDetect = {
    init: function () {
     this.browser = this.searchString(this.dataBrowser) || "An unknown browser";
     this.version = this.searchVersion(navigator.userAgent)
      || this.searchVersion(navigator.appVersion)
      || "an unknown version";
     this.OS = this.searchString(this.dataOS) || "an unknown OS";
    },
    searchString: function (data) {
     for (var i=0;i<data.length;i++) {
      var dataString = data[i].string;
      var dataProp = data[i].prop;
      this.versionSearchString = data[i].versionSearch || data[i].identity;
      if (dataString) {
       if (dataString.indexOf(data[i].subString) != -1)
        return data[i].identity;
      }
      else if (dataProp)
       return data[i].identity;
     }
    },
    searchVersion: function (dataString) {
     var index = dataString.indexOf(this.versionSearchString);
     if (index == -1) return;
     return parseFloat(dataString.substring(index+this.versionSearchString.length+1));
    },
    dataBrowser: [
     {
      string: navigator.userAgent,
      subString: "Chrome",
      identity: "Chrome"
     },
     {  string: navigator.userAgent,
      subString: "OmniWeb",
      versionSearch: "OmniWeb/",
      identity: "OmniWeb"
     },
     {
      string: navigator.vendor,
      subString: "Apple",
      identity: "Safari",
      versionSearch: "Version"
     },
     {
      prop: window.opera,
      identity: "Opera"
     },
     {
      string: navigator.vendor,
      subString: "iCab",
      identity: "iCab"
     },
     {
      string: navigator.vendor,
      subString: "KDE",
      identity: "Konqueror"
     },
     {
      string: navigator.userAgent,
      subString: "Firefox",
      identity: "Firefox"
     },
     {
      string: navigator.vendor,
      subString: "Camino",
      identity: "Camino"
     },
     {  // for newer Netscapes (6+)
      string: navigator.userAgent,
      subString: "Netscape",
      identity: "Netscape"
     },
     {
      string: navigator.userAgent,
      subString: "MSIE",
      identity: "Explorer",
      versionSearch: "MSIE"
     },
     {
      string: navigator.userAgent,
      subString: "Gecko",
      identity: "Mozilla",
      versionSearch: "rv"
     },
     {   // for older Netscapes (4-)
      string: navigator.userAgent,
      subString: "Mozilla",
      identity: "Netscape",
      versionSearch: "Mozilla"
     }
    ],
    dataOS : [
     {
      string: navigator.platform,
      subString: "Win",
      identity: "Windows"
     },
     {
      string: navigator.platform,
      subString: "Mac",
      identity: "Mac"
     },
     {
         string: navigator.userAgent,
         subString: "iPhone",
         identity: "iPhone/iPod"
        },
     {
      string: navigator.platform,
      subString: "Linux",
      identity: "Linux"
     }
    ]
};
BrowserDetect.init();
http://www.quirksmode.org/js/detect.html