Animating an SVG on hover

      <animateTransform attributeType="xml"
                attributeName="transform"
                type="rotate"
                from="360 24.69 35.778"
                to="0 24.69 35.778"
                dur="2s"
                begin="team.mouseover" 
                end="team.mouseout"
                repeatCount="indefinite"/>

use mouseover on begin and mouseout on end


This can also be accomplished with CSS. With the impending deprecation of SMIL animations, using CSS will be more future-proof.

  1. Give the paths for the small and large cog their own IDs.
  2. Apply a CSS animation to the cogs, with an initial animation-play-state of paused.
  3. On :hover of the svg element, change the animation-play-state to running.

The demo below uses only the non-prefixed animation properties. To make it work consistently cross-browser the browser prefixes should be added.

#cogSmall,
#cogBig {
  animation-name: spin;
  animation-duration: 4000ms;
  animation-iteration-count: infinite;
  animation-timing-function: linear;
  transform-origin:15.887px 29.88px;
  animation-play-state: paused;
}
#cogSmall {
  animation-duration: 3000ms;
  transform-origin: 24.691px 35.778px;
  animation-direction: reverse;
}

svg:hover #cogBig,
svg:hover #cogSmall {
  animation-play-state: running;
}

@keyframes spin {
  from {
    transform: rotate(0deg);
  }
  to {
    transform: rotate(360deg);
  }
}
<svg version="1.1" id="team" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" x="0px" y="0px" width="60px" height="60px" viewBox="0 0 60 60" enable-background="new 0 0 60 60" xml:space="preserve">

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      </g>
      <path fill="#3B6DEA" d="M6.295,32.49c-1.369,8.458,7.34,17.906,7.34,17.906l-0.497,9.823h14.173l1.087-4.518c0,0,0.616,1.035,4.279,1.343
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      <path id="cogBig" fill="#FFFFFF" d="M21.789,29.281v1.195c0,0.323-0.261,0.569-0.584,0.569h-0.658c0,0,0,0.006,0,0.011
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	c-0.111,0.109-0.26,0.172-0.413,0.172c-0.156,0-0.305-0.063-0.416-0.172l-0.458-0.461c-0.39,0.235-0.818,0.418-1.269,0.532
	c-0.003,0-0.003,0.334-0.006,0.658c-0.004,0.323-0.264,0.58-0.588,0.58h-1.187c-0.16,0-0.305-0.06-0.416-0.169
	c-0.111-0.112-0.175-0.263-0.172-0.418l0.008-0.639c-0.468-0.098-0.907-0.299-1.312-0.54l-0.458,0.456
	c-0.108,0.109-0.256,0.172-0.413,0.172c-0.157,0-0.305-0.063-0.413-0.172l-0.845-0.842c-0.227-0.229-0.227-0.601,0-0.827
	l0.458-0.461c-0.234-0.391-0.413-0.821-0.528-1.279l0,0h-0.64c-0.319,0-0.58-0.26-0.58-0.583v-1.195
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        2

      </path>
      <circle cx="15.887" cy="29.88" r="1.904" fill="#3B6DEA" />
      <path id="cogSmall" fill="#FFFFFF" d="M28.648,35.378v0.8c0,0.217-0.174,0.382-0.392,0.382h-0.441c0,0,0,0.006,0,0.007
	c-0.077,0.305-0.198,0.6-0.355,0.863l0.309,0.307c0.152,0.152,0.149,0.402,0,0.554l-0.566,0.566
	c-0.075,0.072-0.174,0.113-0.276,0.113c-0.104,0-0.205-0.041-0.28-0.113l-0.307-0.31c-0.261,0.158-0.548,0.28-0.85,0.357
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	c-0.075-0.075-0.118-0.175-0.115-0.279l0.005-0.43c-0.314-0.064-0.607-0.199-0.881-0.36l-0.307,0.306
	c-0.071,0.072-0.171,0.113-0.275,0.113c-0.105,0-0.205-0.041-0.277-0.113l-0.566-0.566c-0.153-0.151-0.153-0.401,0-0.554l0.306-0.31
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      </path>
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    </svg>

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