JSFiddle - React, Tailwind, and code Playground
HTML
<script src="http://code.jquery.com/jquery-1.10.2.min.js"></script>
<script src="http://code.jquery.com/mobile/1.4.0/jquery.mobile-1.4.0.min.js"></script>
<link rel="stylesheet" href="http://pop-corn.ca/brixky/mobile-UI/themes/theme-brixky.min.css">
<link rel="stylesheet" href="http://code.jquery.com/mobile/1.4.0/jquery.mobile.structure-1.4.0.min.css">
<link rel="stylesheet" href="http://pop-corn.ca/brixky/mobile-UI/themes/jquery.mobile.icons.min.css">
<fieldset data-role="controlgroup" id="field_radio_amis">
<legend></legend>
<label for="cat">Cat</label>
<input type="radio" name="radio_animal" id="cat" class="custom" value="cat" />
<label for="dog">Dog</label>
<input type="radio" name="radio_animal" id="dog" class="custom" value="dog" />
</fieldset>
<input type="button" name="btn_go" id="btn_go" value="Click to set button radio" />
JavaScript
$('input:radio[name="radio_animal"]').filter('[value="cat"]').prop('checked', true);