This is most likely not camera shake. Since the focused parts are sharp and only the slightly out-of-focus edges show the effect, the cause is more likely lens rendering of defocus rather than motion blur.

From the examples and comments, you’re seeing out-of-focus blur at the edge of the depth of field, combined with lens aberrations—especially spherical aberration—which can produce a bright or doubled edge in blurred areas. Superzoom lenses like the Nikon 18-200mm often make more optical compromises, so this kind of “nervous” bokeh is not unusual.

What you can do:

• Stop down to a narrower aperture to increase depth of field, so those petals fall more within acceptable focus.
• Be aware this reduces background blur, so it changes the look.
• If smoother blur is important, use a lens with better bokeh/optical correction; a simpler prime or higher-end lens may render out-of-focus areas more smoothly.

Can it be fixed in post? Usually not well. Since it’s part of how the lens rendered the blur, there isn’t a clean correction unless you do very selective retouching. Prevention at capture is the better solution.