I am able to create recurring events using fullCalender.js using the below code
$('#calendar').fullCalendar({
    defaultDate: moment(),
    header: {
        left: 'prev,next today',
        center: 'title',
        right: 'month,agendaWeek,agendaDay'
    },
    defaultView: 'month',
    events: [{
        title:"My repeating event",
        start: '10:00', // a start time (10am in this example)
        end: '14:00', // an end time (6pm in this example)
        dow: [ 1, 4 ] // Repeat monday and thursday
    }],
});
recurrent events on every week image
But I need some control on this, my requirement is to repeat the events on alternate weeks not everyweek, where I need to modify/add code, please help me