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Ram is a very well respected company that specializes in making mounting apparatuses to securely attach electronic gear, such as GPS devices, to boats, planes, and motorcycles. Just use their handy their Motorcycle Wizard by inputting all the particulars of a GPS (brand/model/year) and your motorcycle (brand/model/year) and what they have to offer for that combo appears which will likely include the most popular models. Many mounts can be locked into place and there are different options in terms of where on your bike's handlebars you want to fasten it to.
Having the wizard tool the Ram site has mentioned above is really important because bikes from Ducatis to Harleys can be vastly different. So keep this in mind if you’re going to search for some bargain deals on a mount which are easy to find on any price comparison site. You’ll need to know if the GPS, motorcycle, and the mount linking the two of them are compatible. If I were to take on a project like this by myself, I would call the customer service folks to ensure that it will work or consult a bike shop that is accustomed to doing this kind of work if it isn’t entirely clear up front. It's better to save you the hassle of the mount not working out and having to ship it back and start all over.